Eur. Phys. J. D (2025) 79 :89 https://doi.org/10.1140/epjd/s10053-025-01034-6 THE EUROPEAN PHYSICAL JOURNAL D Regular Article – Cold Matter and Quantum Gases Performance of silicon photomultipliers from room temperature to below 200 mK Otto Hanski1,a , Tom Kiilerich1,b , Sampsa Ahopelto1,c, Aleksei Semakin1,d , Janne Ahokas1,e , Viacheslav Dvornichenko1,f, and Sergey Vasiliev1,g 1 Department of Physics and Astronomy, University of Turku, Vesilinnantie 5, 20014 Turku, Finland Received 9 January 2025 / Accepted 26 June 2025 / Published online 25 July 2025 © The Author(s) 2025 Abstract. Abstract We present experimental results of characterization of Silicon photomultipliers (SiPM) in a temperature range from 90 mK to 40 K and compare them to room-temperature results. Two SiPMs, one from ONSEMI and one from Hamamatsu Photonics, were tested. Operating voltage ranges, dark count rates, afterpulsing effects and photon detection efficiencies (PDE) were determined with illumination by 275- and 470-nm light fed into the cryostat via an optical fiber. A cryogenic shutter provided a true dark condition, where thermal radiation from room temperature is shielded and the thermal excitations in the chips are frozen. A second tunneling breakdown was observed at this condition, which substantially limits the operating voltage range for the temperatures 20–30 K. Below ∼5 K, both SiPMs recover to an operating overvoltage range of 3–5 V. We found the chips function through the entire tested temperature range and are capable of withstanding thermal cycling with no major performance degradation. 1 Introduction A multitude of scientific experiments [1–4] require cryo- genic single-photon detectors. The traditional choice for a single-photon detector is a photomultiplier tube, but in cryogenic conditions PMTs can be difficult to work with due to their typically large form factors and high operating voltages. In the interest of finding a more suitable detec- tor, we have characterized the operational parameters and photon detection efficiencies of two commercially available silicon photomultipliers from room tempera- ture to the sub-Kelvin regime. These SiPMs are single- photon avalanche diode (SPAD)-based multipixel pho- ton counter (MPPC) devices. Our motivation for studying SiPMs at low temper- atures is to measure their characteristics as detectors for our project in two-photon spectroscopy of the 1 S– 2 S transition in ultracold, magnetically trapped atomic hydrogen [1]. The experiment requires detection of Otto Hanski and Tom Kiilerich have contributed equally to this work. a e-mail: otolha@utu.fi (corresponding author) b e-mail: tckiil@utu.fi c e-mail: srahop@utu.fi d e-mail: assema@utu.fi e e-mail: jmiaho@utu.fi f e-mail: viacheslav.dvornichenko@utu.fi g e-mail: servas@utu.fi extremely low fluxes of fluorescent Lyman-alpha radi- ation. SiPMs are an attractive alternative to cryogenic PMTs in this experiment due to their relatively low operating voltages in the range of tens of volts, along with high PDEs and small form factors. 2 Measurement setup We tested and compared two commercially available SiPM models, Hamamatsu S13370-6050CN [5] and Onsemi MicroFJ-30035-TSV [6]. They were tested at two wavelengths, visible blue at 470 nm and UV at 275 nm. The Hamamatsu chip was chosen because it is specifically designed for UV detection, with a room- temperature photon detection efficiency (PDE) of 17% at 275 nm and 12% at 121 nm. This chip has also previ- ously been tested at cryogenic and sub-Kelvin temper- atures [7,8]. The Onsemi chip was selected due to also having been tested at cryogenic temperatures [3] and its significantly lower operational voltage compared to the Hamamatsu chip. Additionally it is manufactured at a significantly lower price point, making it an attractive alternative especially for larger detector arrays. A notable difference in the Hamamatsu chips com- pared to Onsemi is the use of metallic thin film quench resistors for the SPAD microcells. This helps reduce the effect of temperature on pulse shape, as the metal resistor resistance does not significantly change on cool- 123 89 Page 2 of 9 Eur. Phys. J. D (2025) 79 :89 Fig. 1 Overall measurement scheme, including a sketch of the measurement design a and a picture of the SiPM instal- lation within the dilution fridge b ing into cryogenic region. The Onsemi MicroFJ chip uses semiconductor quench resistors. Additionally, the Onsemi chip has a built-in fast output mode, which uses a high-pass filter to filter out the typical slow decaying tail of an avalanche voltage pulse. For the Hamamatsu chip, there is no built-in fast signal option, so we instead used a self-made high-pass RC filter with a cutoff at 31.8 MHz (R = 50 Ω, C = 100 pF). In our measurement setup (Fig. 1), each SiPM was mounted to a biasing and measurement board (Fig. 2) and placed on the mixing chamber of a homemade wet dilution refrigerator system. The biasing board design is based on the one used by Wiesinger [3]. In addition to the biasing circuit itself, the bias board includes two thermometers, a platinum chip and a RuO2 chip, in order to cover the entire temperature range from room temperature to below 100 mK. There is also a sec- ond RuO2 chip on the board, used as a heater for fine tuning of the SiPM temperature. The SiPM was illu- minated with a LED from room temperature, coupled into the cryostat via UV-compatible optical fiber (Thor- labs UM22-400). The LED light was directly coupled into the open fiber through an optical window separat- ing the cryostat environment from room temperature. The LED and the optical window to the cryostat were encased in a lighttight box to shield the SiPM from any stray light from the environment. Additionally, several baffles were positioned along the neck of the cryostat to shield the cryostat from room-temperature radiation and to further shield the SiPM from stray photons. Additionally, a rotatable shutter thermalized at the dilution fridge mixing chamber was placed between the fiber and the SiPM. The main purpose of the shutter was to prevent room-temperature infrared photon leak- age via the fiber during dark count measurements. The fiber has also been thermalized at several temperatures (4 K, 1 K, mixing chamber) along the way, to minimize heat leak from the fiber connection at room tempera- ture. The LED output was purposely left unfocused to minimize total photon flux through the fiber. The out- put from the fiber was also left uncollimated, resulting in a beam diameter of roughly 4 to 5 mm at the SiPM. Our ability to effectively stabilize the system tem- perature during the cooldown and warm-up processes is limited, which restricted our ability to perform mea- surements between liquid helium (LHe, 4.2 K) and liquid nitrogen (LN2, 77 K) temperatures, as well as between liquid nitrogen and room temperatures. Due to low thermal coupling of the SiPM to the dilution fridge mixing chamber, we were able to overheat the SiPMs and stabilize the temperature for measurements up to ∼ 40 K. Pulseform data acquisition was done via a Keysight DSOX1102G oscilloscope, and the illuminating LED was controlled via the same oscilloscope’s signal gener- ator. The SiPM bias voltages are controlled, and pho- tocurrents were measured via a Keithley 6487 current source. In our amplifier chain, we used a ZFL-1000NL and a ZFL-1000NL+ at room temperature. Code and data are available on GitHub [9]. For breakdown voltage (Vbd) measurements, we used several techniques. At room temperature, we measured the breakdown voltage directly from the dark current as the crossing point of zero current with a linear fit on a √ I/V plot [10]. At cryogenic temperatures, the dark count rate is too low to generate a measurable dark current, necessitating a different approach. We used two methods to extract the breakdown voltage in this regime; firstly, we measured the breakdown voltage from the pulse height of our SiPM versus voltage [3]. Vbd was subsequently determined as the crossover point of 123 Eur. Phys. J. D (2025) 79 :89 Page 3 of 9 89 Fig. 2 Picture (left) and circuit diagram (right) of the SiPM biasing and readout board pulse height with zero. The second method is to use low LED power, 10 µA current for the blue LED and 50 µA for the UV LED, to illuminate the SiPM at a low signal level in lieu of dark current. Vbd can then be measured with the same methodology as in the room-temperature measurements. The results from these different meth- ods are in agreement with each other within the margin of error. A more detailed description of the measurement setup and data analysis methodology is given in the reference [11]. 3 Results 3.1 Pulse shape Similar to previous experiments [3], we saw pulse shape changes due to quench resistor temperature dependence when cooling down to cryogenic temperatures (Fig. 3a) with our Onsemi chip. At room temperature, the pulse shape is characterized by a fast voltage increase from the avalanche, followed by an exponential decay back to zero voltage with a characteristic time of around 100 ns. At lower temperatures, the pulse shape is divided into two components: a fast and a slow component. The fast component decays with characteristic time below 10 ns, whereas the slow component decays with characteristic times above 100 ns. Additionally, the peak pulse volt- age decreased by roughly 30% when cooled down from room temperature to liquid nitrogen temperature. No further degradation of maximum pulse voltage was seen on cooling below this point, and below 10 K, the pulse shape did not change at all. For the Hamamatsu chip, we saw minor pulse shape changes from room temperature to liquid nitrogen tem- perature (see Fig. 3b). When further cooling the dilu- tion fridge from liquid nitrogen down to 150 mK (equiv- alent to 186 mK at the SiPM), no further changes were detected. This is due to a metallic quench resistor hav- ing orders of magnitude smaller temperature depen- dence in the low-temperature regime than that of semi- conductor resistors. For Hamamatsu, we additionally utilized a high-pass RC filter to simulate a fast out- Fig. 3 SiPM pulse shapes, measured as a 30 pulse average. Filter refers to the high-pass RC filter described in Sect. 2. For Hamamatsu, the pulse shape remains the same between 81 K, 5.7 K and 186 mK put mode and increase our pulse counting resolution at higher photon fluxes. At room temperature, the Onsemi fast output chan- nel could be used to generate extremely sharp rise time pulse signals for pulse counting purposes without the long-tail characteristic of a recharging SPAD. However, the on-chip filters on the Onsemi chip did not function properly when cooled down, and below 110 K, the fast output channel created a lot of excess noise. This ren- 123 89 Page 4 of 9 Eur. Phys. J. D (2025) 79 :89 dered the channel inoperable at low temperatures. One should instead use a room-temperature high-pass filter on the normal output channel, as was done with the Hamamatsu chip. The relevance of the pulse shape changes depends on the application the sensor is used for. When used as a single-photon counter for low photon fluxes, the shape changes do not affect the sensor functionality in a major way, since in this type of measurement one should count the pulses by rising edge. In these measurements, a high-pass filter should regardless be implemented to cut the slow signal tail for a better SNR. When used for measuring large photon fluxes where the signal will be calculated as an integral of the signal, one must take into account the signal shape, as it strongly affects the integral of the pulse shape and the detected photocur- rent. 3.2 Dark count rate An essential feature of the measurements at low tem- peratures is that a true dark condition can be real- ized when excitation via light or thermal effects are fully frozen out. Starting from room temperature, we observed a fast drop of the dark count rate (DCR), roughly by the factor of 2 for each 10 K, consistent with the manufacturers’ specifications. Already at ∼ 100 K, we noticed that the dark count rate strongly depends on the position of the shutter above SiPM. Closing the shutter decreased the DCR by more than two orders of magnitude, reaching dark count rates well below 1 Hz. With the closed shutter, we have a true dark con- dition; the upper end of the optical fiber is located in a room-temperature lighttight box, but there can remain a tiny flux of photons leaking into the low-temperature part of the apparatus due to imperfections in the shield- ing at room temperature. These photons have sufficient energy to create avalanches and generate nonzero pho- tocurrent. This leakage can be blocked with a cold shut- ter after the fiber. Previous experiments have reported similar dark count rates below 1 Hz [3], and it is not entirely clear why they did not have similar issues with photon leak- age, despite their lack of a cryogenic shield. Our main assumption is that the room-temperature shielding of the fiber in our setup is not as good as used in previous experiments, which might allow more radiation to enter the fiber, and the level of photon leakage with optimal room-temperature shielding is sufficient to reduce the effects of the leakage to negligible levels. Once the chips were cooled below 100 K and the shut- ter was closed, we could only see occasional pulses at count rates below 1 Hz. This is expected, since at tem- peratures below 200 K, the dark count rate is domi- nated by band-to-band tunneling [12], which has a sig- nificantly lower excitation rate compared to thermally excited dark counts at higher temperatures. No further reduction in the DCR was observed on cooling into sub-Kelvin range. We suggest that the residual DCR is caused by scattered thermal radiation photons which leak inside the vacuum can of our refrigerator via imper- fect radiation shields. A tiny fraction of them can reach the chip through the gap between the shutter plate and the chip surface. Another possibility could be, e.g., cosmic rays or high-energy elementary particles, which penetrate through the metal enclosures of our cryostat. We did not perform a detailed quantitative study of DCRs below 1 Hz. Closing the shutter to achieve a true dark condi- tion was a key factor for observing the second break- down and correct determination of the operating volt- age range, as described in the next section. 3.3 Breakdown voltages and tunneling effect The breakdown effect of a SiPM is seen as a rapid increase in the photosensitivity of the detector above a certain bias voltage, the breakdown voltage Vbd. At this point, the electric field is high enough that a charge car- rier generated by an incident photon will gain sufficient kinetic energy over the mean free range in the bulk to generate another charge carrier pair upon impact, lead- ing to an avalanche. At room temperature, the charge carrier may be created by thermal excitations, without illumination by light. This leads to the fairly high dark count rate, increasing proportionally to the overvoltage above Vbd. The breakdown voltage is typically temper- ature dependent, due to increased carrier mobility at low temperatures [13]. At sufficiently low temperatures (below ∼ 100 K), the thermal excitations are frozen out, and if no pho- tons are coming to the SiPM, thermally excited break- downs do not spontaneously occur even at fairly large overvoltages. Therefore, under true dark conditions we need to send a small flux of photons, which allows mea- surements of the Vbd, as explained in Sect. 2. When increasing the overvoltage further in dark con- ditions at temperatures below 40 K, we found that the photocurrent exhibited a sudden and steep growth indicating the appearance of a second breakdown at a voltage Vt, which depends strongly on temperature. For the Onsemi SiPMs, we found that the difference between these two breakdown voltages exceeds 12 V at and above 40 K, which would indicate a cryogenic operational voltage range substantially larger than the 5 V overvoltage recommended by the manufacturer for room-temperature applications. We demonstrate the typical behavior of both breakdown phenomena in Fig. 4. We suggest that the second breakdown could be caused by a tunneling phenomenon, when the bias volt- age is high enough for charge carriers to directly tun- nel from the valence band (band-to-band tunneling), or intermediate impurity-induced energy states to the conduction band (trap-assisted tunneling). This effect has not been previously reported, and the physical basis for the second breakdown has not previ- ously been explained. In their characterization exper- iments, Zhang et al [7] reported a rapid rise in pho- tocurrent at higher overvoltages, which they suggested 123 Eur. Phys. J. D (2025) 79 :89 Page 5 of 9 89 Fig. 4 Different types of breakdown behavior on the Hamamatsu chip, measured at 1 K. Normal breakdown occurs at Vbd ≈ 41.5 V, tunneling breakdown is seen at Vt ≈ 44.2 V to be due to increased afterpulsing probability causing self-sustaining afterpulse trains. We were able to repro- duce this behavior (orange line in Fig. 4) with an open shutter. We suggest that by blocking photon leakage from room temperature with our cryogenic shutter, we create a true dark condition, necessary for observation of the proposed tunneling breakdown effect. 3.4 Operational voltage range After understanding the breakdown phenomena at cryogenic and true dark conditions, we may now define an operating range for the SiPMs as the voltage range between Vbd and Vt. We characterize the operating range at temperatures below 40 K, where the second breakdown can be clearly identified. The temperature range between 77 K and 40 K is problematic for reli- able stabilization of the SiPM temperature inside the vacuum can of the dilution refrigerator. As shown in Fig. 5, Vt showed a pronounced minimum for both chips at around 23 K. The first breakdown voltage Vbd monotonously decreased during cooldown from its room-temperature value, by approximately 5 V for the Onsemi chip, and approximately 10 V for the Hama- matsu chip, reaching its minimum around LN2 tem- perature. Vbd remained nearly constant throughout our primary measurement range below 40 K. Operating the Hamamatsu SiPM near 25 K becomes problematic, since overvoltages above 0.3 V cannot be used. At the lowest temperatures below 5 K, the oper- ating range increases to ∼ 3 V, which is comparable with the values recommended by the manufacturer at room temperature. The Onsemi device operating range increases to > 5 V below 5 K and does not change at lower temperatures. A remarkably large operating range of more than 12 V is observed for the Onsemi chip at ∼ 40 K. The overall behavior of both chips is similar to reports on earlier experiments on the Hama- matsu chip by Zhang et al [7]. 3.5 Afterpulsing Afterpulsing behavior is typically seen as an appear- ance of secondary pulses followed the main pulse with a delay comparable with the pulse relaxation time. An afterpulse is a secondary avalanche of a SPAD typically caused by charge carriers from the initial avalanche get- ting trapped in impurities of the silicon [14] and caus- ing a second avalanche when released. A single primary event may have several afterpulses, either due to mul- tiple trapped charge carriers from the primary pulse released at different intervals or by having an afterpulse trigger a second afterpulse. Afterpulses are easiest to detect by observing dark counts of the device, since due to the low dark count rate of around 1 Hz at cryogenic conditions, the like- lihood of detecting multiple dark counts in a short time window is significantly lower than the afterpuls- ing probability. See Fig. 6 for reference pulse shapes seen in cryogenic measurements. The afterpulsing effects essentially function as an additional noise source for both integrating measure- ments for high photon fluxes and pulse counting mea- surements for low photon fluxes. Both the long and short delay afterpulses distort the integral of a single- detection-event signal and will therefore distort any averaging measurements. The long delay pulses addi- tionally create additional pulse counts, indistinguish- able from primary detection events, creating a system- atic error in a pulse count measurement. The short delay pulses do not cause this issue, as they can be easily distinguished by a significantly lower pulse volt- age. Afterpulsing creates a systematic error, which always overestimates the real photon flow. For high-photon- flux measurements where we are detecting a photocur- rent, afterpulsing effectively functions as an extra gain factor for the signal. For experiments where measuring the absolute photon flux is important, the afterpuls- ing effects need to be characterized and accounted for. However, if one is only interested in the relative photon flux determination, the afterpulses should have negligi- ble effect on measurement error. At temperatures below 40 K, we detected a signifi- cant increase in the probability of afterpulsing and an increase in the average time delay between the pri- mary pulse and afterpulse(s). Together, these effects occasionally combine to create long-lasting afterpulse trains, where successive afterpulses cause further after- pulses. This cascade of afterpulses can last for a long time at cold temperatures, up to roughly 1 ms. As the afterpulsing probability also increases with overvoltage, these afterpulse trains can limit the functionality of the SiPMs at low temperatures. This is due to increased noise characteristics and heating effects from afterpulse- train-induced photocurrent, as previously reported [7]. We did not do a quantitative analysis of the afterpuls- ing effects in the scope of this study, as the effect has low relevance to our intended application of the SiPM chip as a fluorescence detector. 123 89 Page 6 of 9 Eur. Phys. J. D (2025) 79 :89 Fig. 5 Operational voltage ranges at temperatures T ≤ 40 K Fig. 6 Afterpulsing pulse shapes, measured from the Hamamatsu chip. a Afterpulse with a long delay and cross talk on the secondary pulse. b Afterpulse with a short delay. c Afterpulse with no cross talk 3.6 Photon detection efficiency For the measurement of photon detection efficiency (PDE) at cryogenic temperatures, the main difficulty is having a calibrated photon flux to calculate the detec- tion efficiency. As we do not have access to a calibrated cryogenic photon source, we instead opted for a relative measurement of PDE. The room-temperature specifications of the sensors are listed in Table 1. Using these data as a calibra- tion point for our light source, we are able to calcu- late the relative PDE of the sensor at lower tempera- tures without knowing the absolute value of the incident photon flux. We assume the transmission of our fiber does not change significantly with temperature, and the fiber alignment with respect to the SiPM also remains constant during the cooldown. The former assumption is supported by initial test measurements without a fiber coupling yielding similar, albeit less accurate, PDE numbers when compared with measurements using a fiber coupling. The latter assumption is made on the basis of the mechanically rigid mounting of both the SiPM and the fiber output at the mixing chamber, min- imizing movement of both components during and after cooldown. To measure the relative PDE, we pulse the LED repeatedly with constant pulse parameters, and we can determine from the statistics the mean number of detected events via a Poissonian fit. From this, we subtract the dark count rate to determine the mean number of photons per pulse [3,11]. We then use the manufacturer specifications for the room-temperature PDE values to calibrate our absolute PDE value rela- tive to the photon flux from our LED, and use this as the comparison point for our low-temperature measure- ments. In order to avoid afterpulsing effects, we chose a low overvoltage of 2.5 V for the PDE measurements. In the case of the Hamamatsu chip, the manufacturer provided PDE values were measured at an overvoltage of 4 V, which was taken into account by first using the manufacturer value to calibrate our room-temperature 2.5 V overvoltage PDE, which was subsequently used as the reference point for our low-temperature measure- ments. When cooled down from room temperature to tem- peratures below 1 K, we see a large drop in PDE (Fig. 7). For both tested sensors, the drop in PDE is significantly larger for the UV than for the visible blue light. Our measurement data are in good agreement with previous measurements for both devices [3,7,8]. Both SiPMs are significantly more sensitive to visible blue light than to UV light at cryogenic temperatures, with a difference of 1 to 2 orders of magnitude. There- fore, for detection of scattered or fluorescent UV light, 123 Eur. Phys. J. D (2025) 79 :89 Page 7 of 9 89 Fig. 7 PDE as a function of temperature for blue (left) and UV (right) light, with zoom window on the low-temperature regime. Each point measured at a constant 2.5 V overvoltage Table 1 Room-temperature specifications for our SiPMs [5,6] Hamamatsu Onsemi Vbd [V] 51.3 24.5 Overvoltage [V] 4.0 2.5 2.5 PDE(470 nm), [%] 29 26 31 PDE(275 nm), [%] 17 16 8 Breakdown voltages Vbd measured by us, due to high error margins in manufacturer specs a measurement scheme with frequency converters based on TPB [15] would remain significantly more efficient even after conversion losses. 3.7 Thermal cycling tolerance We monitored the thermal cycling tolerance of the chips in order to get an idea of their useful lifetime in cryo- genic experiments. Through several thermal cycles, we saw no notable drop in PDE or other performance char- acteristics, albeit with the Onsemi chip, which has a protective glass layer covering the SiPM pixels, and we saw damage in the form of cracks on the glass layer (see Fig. 8). From our PDE data, we saw no perfor- mance impact from these cracks when comparing room- temperature PDE before and after thermal cycling. The cracks in the glass cover are typically formed during the first cooldown, and there is no notable pro- gression in the damage over subsequent cooldowns. Due to this and the aforementioned good retention of actual performance characteristics, the Onsemi SiPMs appear to be well tolerant to thermal cycling and can be oper- ated over several thermal cycles without replacement. Fig. 8 Thermal cycling surface damage. a Hamamatsu without glass cover b Onsemi with glass cover & cracks The Hamamatsu chips we tested have no protective glass cover, and therefore, no cracking or other damage related to thermal cycling was observed. 123 89 Page 8 of 9 Eur. Phys. J. D (2025) 79 :89 4 Conclusions We have characterized the functionality of two com- mercial SiPM models, Hamamatsu S13370-6050CN and Onsemi MicroFJ-30035-TSV, as low-flux photon detec- tors in a wide temperature range from room tempera- ture down to 90 mK. We found that while their per- formance drops with temperature, they are functional with a PDE above 10% for the Hamamatsu chip and above 5% for the Onsemi chip throughout the entire temperature range in the visible blue light range. For the Hamamatsu chip, we also measured the PDE to remain above 10% down to roughly 100 K at UV wave- lengths and confirmed the ability of both chips to detect UV at temperatures at around 1 K, albeit at a signifi- cantly lower PDE of less than 1%. Hamamatsu showed better overall PDE performance than Onsemi, although with a smaller operating voltage range. The operating voltage for Hamamatsu detectors is also nearly a factor of 2 larger than for Onsemi detectors, which results in a larger Joule heating for the same photocurrent. This can become an issue at low temperatures. The relaxation after an avalanche became very slow for Onsemi detectors at low temperature due to semi- conductor quench resistors. However, well-resolved and sharp signal peaks are observed in the beginning of an avalanche pulse, which can easily be detected and counted. Metal-based quench resistors utilized in the Hamamatsu detectors therefore do not provide a signif- icant benefit for pulse counting experiments at low tem- peratures. However, for higher-photon-flux measure- ments the increased area under each pulse (released charge carriers per pulse) improves the SNR of any integrating or photocurrent measurements. Addition- ally, measurements with a large range of temperatures will benefit from the constant pulse shape of the Hama- matsu chip with regard to temperature due to its metal quench resistors. Both chips also exhibited excellent dark count characteristics at low temperatures. For the purpose of low-temperature fluorescence detection in the UV range, we would suggest using a wavelength shifting material for conversion of incident UV photons to the blue light for more efficient detec- tion. We have also detected a possibly novel behavior in the form of a second breakdown voltage, detectable as a sudden exponential increase in the photocurrent at a high overvoltage, with notably different behavior from the typical afterpulsing effects. We posit a possible band-to-band tunneling effect as a possible explanation for this behavior, albeit further study would be neces- sary to ascertain this theory. For follow-up studies, we would recommend a more thorough analysis of the afterpulsing behavior to con- firm the assumption of signal linearity and to more accurately characterize the exact afterpulse probabil- ity effect. Building a better theoretical understanding of the proposed tunneling breakdown effect might pro- vide information on how to optimize SiPM design for maximum gain at cryogenic temperatures. Extensive testing with large sample sizes of detectors from dif- ferent production batches and over a larger number of cycles would also provide worthwhile information on the reproducibility of cryogenic SiPM characteristics. Acknowledgements This project was supported by the Jenny and Antti Wihuri foundation. Additional thanks to the anonymous referees for their excellent feedback and sug- gestions, which notably improved the quality of this publi- cation. Author contributions All authors contributed to the concept and the design of the experimental setup. Setting up and running the experiment were performed by Otto Hanski, Tom Kiilerich and Slava Dvornichenko. Data collection was done by Tom Kiilerich, and data processing and anal- ysis were done by Tom Kiilerich and Otto Hanski. The first draft of the manuscript was written by Otto Hanski and Tom Kiilerich. All authors commented on previous versions of the manuscript and approved its final ver- sion. Funding Open Access funding provided by University of Turku (including Turku University Central Hospital). Dilu- tion fridge operation costs were covered by the Wihuri Phys- ical Laboratory, with funding received from the Jenny and Antti Wihuri foundation. Data Availability Statement This manuscript has asso- ciated data in a data repository. The datasets generated and/or analyzed during the current study are available from the corresponding author on request. Unsorted data are also available in the related data collection uploaded in GitHub [9]. Declarations Conflict of interest All authors certify that they have no affiliations with or involvement in any organization or entity with any financial interest or non-financial interest in the subject matter or materials discussed in this manuscript. Open Access This article is licensed under a Creative Com- mons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this arti- cle are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statu- tory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. 123 Eur. Phys. J. D (2025) 79 :89 Page 9 of 9 89 To view a copy of this licence, visit http://creativecomm ons.org/licenses/by/4.0/. References 1. J. Ahokas, A. Semakin, J. Ja¨rvinen, O. Hanski, A. Lap- tiyenko, V. Dvornichenko, K. Salonen, Z. Burkley, P. Crivelli, A. Golovizin et al., A large octupole mag- netic trap for research with atomic hydrogen. Rev. Sci. Instrum. 93(2), 023201 (2022). https://doi.org/10. 1063/5.0070037 2. A. So´te´r, K. Todoroki, T. Kobayashi, D. Barna, D. Horva´th, M. Hori, Segmented scintillation detec- tors with silicon photomultiplier readout for measur- ing antiproton annihilations. Rev. Sci. Instrum. 85(2), 023302 (2014). https://doi.org/10.1063/1.4863648 3. M. Wiesinger, F. Stuhlmann, M. Bohman, P. Micke, C. Will, H. 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