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Observation of ballistic avalanche phenomena in nanoscale vertical InSe/BP heterostructures

Nature Nanotechnology volume 14, pages 217–222 (2019)Cite this article

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Abstract

Impact ionization, which supports carrier multiplication, is promising for applications in single photon detection1 and sharp threshold swing field effect devices2. However, initiating the impact ionization of avalanche breakdown requires a high applied electric field in a long active region, which hampers carrier multiplication with a high gain, low bias and superior noise performance3,4. Here we report the observation of ballistic avalanche phenomena in sub-mean free path (MFP) scaled vertical InSe/black phosphorus (BP)5,6,7,8,9 heterostructures10. We use these heterojunctions to fabricate avalanche photodetectors (APDs) with a sensitive mid-infrared light detection (4 μm wavelength) and impact ionization transistors with a steep subthreshold swing (<0.25 mV dec–1). The devices show a low avalanche threshold (<1 V), low noise figure and distinctive density spectral shape. Our transport measurements suggest that the breakdown originates from a ballistic avalanche phenomenon, where the sub-MFP BP channel support the lattice impact ionization by electrons and holes and the abrupt current amplification without scattering from the obstacles in a deterministic nature. Our results provide new strategies for the development of advanced photodetectors1,11,12 via efficient carrier manipulation at the nanoscale.

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Fig. 1: Avalanche device consisting of vertical vdW heterojunction.
Fig. 2: Properties of the APDs and IMOS.
Fig. 3: The ballistic avalanche mechanism of the InSe/BP heterostructure.
Fig. 4: Ballistic transport of a vertical vdW heterojunction.

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Data availability

The data that support the findings of this study are available from the corresponding authors on reasonable request.

References

  1. Dam, J. S., Tidemand-Lichtenberg, P. & Pedersen, C. Room-temperature mid-infrared single-photon spectral imaging. Nat. Photon. 6, 788–793 (2012).

    CAS  Google Scholar 

  2. Gopalakrishnan, K., Griffin, P. B. & Plummer, J. D. I-MOS: a novel semiconductor device with a subthreshold slope lower than kT/q. Tech. Digest Int. Electron Dev. Meet. 289–292 (IEEE, 2002).

  3. McIntyre, R. J. The distribution of gains in uniformly multiplying avalanche photodiodes: theory. IEEE Trans. Electron Devices 19, 703–713 (1972).

  4. Capasso, F. Band-gap engineering: from physics and materials to new semiconductor devices. Science 235, 172–177 (1987).

    CAS  Google Scholar 

  5. Bandurin, D. A. et al. High electron mobility, quantum Hall effect and anomalous optical response in atomically thin InSe. Nat. Nanotech. 12, 223–227 (2017).

    CAS  Google Scholar 

  6. Xia, F., Wang, H. & Jia, Y. Rediscovering black phosphorus as an anisotropic layered material for optoelectronics and electronics. Nat. Commun. 5, 4458 (2014).

    CAS  Google Scholar 

  7. Engel, M., Steiner, M. & Avouris, P. Black phosphorus photodetector for multispectral, high-resolution imaging. Nano Lett. 14, 6414–6417 (2014).

    CAS  Google Scholar 

  8. Yuan, H. et al. Polarization-sensitive broadband photodetector using a black phosphorus vertical p–n junction. Nat. Nanotech. 10, 707–713 (2015).

    CAS  Google Scholar 

  9. Youngblood, N., Chen, C., Koester, S. J. & Li, M. Waveguide-integrated black phosphorus photodetector with high responsivity and low dark current. Nat. Photon. 9, 247–252 (2015).

    CAS  Google Scholar 

  10. Yu, W. J. et al. Vertically stacked multi-heterostructures of layered materials for logic transistors and complementary inverters. Nat. Mater. 12, 246–252 (2013).

    CAS  Google Scholar 

  11. Weibring, P., Edner, H. & Svanberg, S. Versatile mobile lidar system for environmental monitoring. Appl. Optics 42, 3583–3594 (2003).

    CAS  Google Scholar 

  12. Zhao, G. et al. Mobile lidar system for environmental monitoring. Appl. Optics 56, 1506–1516 (2017).

    CAS  Google Scholar 

  13. Li, L. et al. Black phosphorus field-effect transistors. Nat. Nanotech. 9, 372–377 (2014).

    CAS  Google Scholar 

  14. Liu, H. et al. Phosphorene: an unexplored 2D semiconductor with a high hole mobility. ACS Nano 8, 4033–4041 (2014).

    CAS  Google Scholar 

  15. Koenig, S. P., Doganov, R. A., Schmidt, H., Castro Neto, A. H. & Özyilmaz, B. Electric field effect in ultrathin black phosphorus. Appl. Phys. Lett. 104, 103106 (2014).

    Google Scholar 

  16. Hayden, O., Agarwal, R. & Lieber, C. M. Nanoscale avalanche photodiodes for highly sensitive and spatially resolved photon detection. Nat. Mater. 5, 352–356 (2006).

    CAS  Google Scholar 

  17. Bulgarini, G. et al. Avalanche amplification of a single exciton in a semiconductor nanowire. Nat. Photon. 6, 455–458 (2012).

    CAS  Google Scholar 

  18. Hadfield, R. H. Single-photon detectors for optical quantum information applications. Nat. Photon. 3, 696–705 (2009).

    CAS  Google Scholar 

  19. Yuan, P. et al. A new look at impact ionization—Part II: gain and noise in short avalanche photodiodes. IEEE Trans. Electron Devices 46, 1632–1639 (1999).

    CAS  Google Scholar 

  20. Dutta, P. & Horn, P. M. Low-frequency fluctuations in solids: 1/f noise. Rev. Mod. Phys. 53, 497 (1981).

    CAS  Google Scholar 

  21. Crowell, C. R. & Sze, S. M. Temperature dependence of avalanche multiplication in semiconductors. Appl. Phys. Lett. 9, 242–244 (1966).

    CAS  Google Scholar 

  22. Hollenhorst, J. N. Ballistic avalanche photodiodes: ultralow noise avalanche diodes with nearly equal ionization probabilities. Appl. Phys. Lett. 49, 516–518 (1986).

    CAS  Google Scholar 

  23. Gu, Y. & Choa, F. S. Low bias, low noise single-avalanche-stage APDs. IEEE Lasers Electro-Optics Soc. 2, 1001–1002 (2003).

    Google Scholar 

  24. Jindal, R. P. Approaching fundamental limits on signal detection. IEEE Trans. Electron Dev. 41, 2133–2138 (1994).

    Google Scholar 

  25. Rodin, A. S. et al. Tunable optical properties of multilayer black phosphorus thin films. Phys. Rev. B 90, 075434 (2014).

    Google Scholar 

  26. Shin, Y. S. et al. Mobility engineering in vertical field effect transistors based on van der Waals heterostructures. Adv. Mater. 30, 1704435 (2018).

    Google Scholar 

  27. Liang, W. et al. Fabry–Perot interference in a nanotube electron waveguide. Nature 411, 665–669 (2001).

    CAS  Google Scholar 

  28. Javey, A., Guo, J., Wang, Q., Lundstrom, M. & Dai, H. Ballistic carbon nanotube field-effect transistors. Nature 424, 654–657 (2003).

    CAS  Google Scholar 

  29. Allen, M. T. et al. Observation of electron coherence and Fabry–Perot standing waves at a graphene edge. Nano Lett. 17, 7380–7386 (2017).

    CAS  Google Scholar 

  30. Miao, F. et al. Phase-coherent transport in graphene quantum billiards. Science 317, 1530–1533 (2007).

  31. Heyd, J., Scuseria, G. E. & Ernzerhof, M. Hybrid functionals based on a screened Coulomb potential. J. Chem. Phys. 118, 8207–8215 (2003).

    CAS  Google Scholar 

  32. Kresse, G. & Furthmüller, J. Efficiency of ab-initio total energy calculations for metals and semiconductors using a plane-wave basis set. Comp. Mater. Sci. 6, 15–50 (1996).

    CAS  Google Scholar 

  33. Kresse, G. & Furthmüller, J. Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set. Phys. Rev. B 54, 11169–11186 (1996).

    CAS  Google Scholar 

  34. Pack, J. D. & Monkhorst, H. J. Special points for Brillouin-zone integrations. Phys. Rev. B 13, 5188–5192 (1976).

    Google Scholar 

  35. Narita, S. et al. Far-infrared cyclotron resonance absorptions in black phosphorus single crystals. J. Phys. Soc. Jpn 52, 3544–3553 (1983).

    CAS  Google Scholar 

Download references

Acknowledgements

This project was primarily supported by the National Key Basic Research Program of China (grant nos 2018YFA0307200, 2015CB921600, 2013CBA01603 and 2018YFA0209100), the National Natural Science Foundation of China (grant nos 61775092, 61625402, 61574076, 11374142, 11574136, 11534010, 91750109 and 61725505), the Key Research Program of Frontier Sciences CAS (grant no. QYZDY-SSW-SLH021), the State Key Laboratory of Precision Measurement Technology and Instruments Fund for open topics, the Fundamental Research Funds for the Central Universities and the Collaborative Innovation Centre of Advanced Microstructures.

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Authors and Affiliations

  1. National Laboratory of Solid State Microstructures, School of Physics, School of Electronic Science and Engineering, Collaborative Innovation Centre of Advanced Microstructures, Nanjing University, Nanjing, China

    Anyuan Gao, Yaojia Wang, Junwen Zeng, Geliang Yu, Tianjun Cao, Feng Miao, Yi Shi & Xiaomu Wang

  2. International Centre for Quantum Materials, School of Physics, Peking University, Beijing, China

    Jiawei Lai & Dong Sun

  3. Materials Department, University of California, Santa Barbara, CA, USA

    Zhen Zhu

  4. Hefei National Laboratory for Physical Science at Microscale and Department of Physics, University of Science and Technology of China, Hefei, China

    Naizhou Wang & Xianhui Chen

  5. Key Laboratory of Strongly Coupled Quantum Matter Physics, University of Science and Technology of China, Hefei, China

    Naizhou Wang & Xianhui Chen

  6. College of Information Science and Electronic Engineering, ZJU-UIUC Institute, Zhejiang University, Haining, China

    Wenchao Chen

  7. State Key Laboratory of Infrared Physics, Shanghai Institute of Technical Physics, Chinese Academy of Sciences, Shanghai, China

    Weida Hu

  8. Collaborative Innovation Centre of Quantum Matter, Beijing, China

    Dong Sun

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  1. Anyuan Gao
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Contributions

X.W., F.M. and A.G. conceived and designed the experiments. A.G. fabricated the devices. A.G., Y.W., J.Z., G.Y. and T.C. conducted the transport measurements. A.G., J.L., W.H. and D.S. conducted the photoresponse measurements. Z.Z. and W.C. performed the DFT calculations. N.W. and X.C. helped to grow the BP crystals. A.G., X.W. and F.M. analysed the data and wrote the manuscript. X.W., F.M. and Y.S. supervised the research. All the authors discussed the obtained results.

Corresponding authors

Correspondence to Feng Miao, Yi Shi or Xiaomu Wang.

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Observation of ballistic avalanche phenomena in nanoscale vertical InSe/BP heterostructures

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Gao, A., Lai, J., Wang, Y. et al. Observation of ballistic avalanche phenomena in nanoscale vertical InSe/BP heterostructures. Nat. Nanotechnol. 14, 217–222 (2019). https://doi.org/10.1038/s41565-018-0348-z

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