Abstract
We have performed magneto-transport measurements on a two-dimensional electron system (2DES) which is in close proximity to nanoscaled scatterers. Weak localization, as evidenced by negative magnetoresistance, is observed. In this work, we use the extracted phase coherence rate as a thermometer to measure the electron’s effective temperature T e in our 2DES when a high driving current I flows through the device. We find that T e ∝ I ~0.52, consistent with 1/τ ep ~ T 2 in two dimensions, where 1/τ ep is the electron-phonon scattering rate. However, the phase coherence rate 1/τ φ ~ T, with a very small offset, is consistent with zero-temperature dephasing. Most importantly, our experimental results are in agreement with the fact that at low temperatures, the dominant phase-breaking mechanism is electron-electron scattering, not electron-phonon scattering. Therefore we are able to investigate both electron-electron scattering and electron-phonon scattering which are, in most cases, difficult to study independently in the linear region. Our data show that the electron heating effect is a very powerful tool for studying semiconductor devices.
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A. K. M. Wennberg, S. N. Ytterboe, C. M. Gould, H. M. Bozler, J. Klem and H. Morkoc, Phys. Rev. B 34, 4409 (1986).
N. J. Appleyard, J. T. Nicholls, M. Y. Simmons, W. R. Tribe and M. Pepper, Phys. Rev. Lett. 81, 3491 (1998).
B. K. Ridley, Rep. Prog. Phys. 54, 169 (1991).
D. R. Leadley, R. J. Nicholas, J. J. Harris and C. T. Foxon, Semicond. Sci. Technol. 4, 879 (1989).
N. Balkan, H. Celik, A. J. Vickers and M. Cankurtaran, Phys. Rev. B 52, 17210 (1995)
P. Z. Chen, L.-H. Lin, C.-T. Liang, J.-Y. Lin, J.-H. Chen, M. Y. Simmons and D. A. Ritchie, J. Korean Phys. Soc. 50, 1662 (2007).
A. Mittal, R. G. Wheeler, M. W. Keller, D. E. Prober, and R. N. Sacks, Surf. Sci. 361/362, 537 (1996).
J. P. Pekola, K. P. Hirvi, J. P. Kauppinen, and M. A. Paalanen, Phys. Rev. Lett. 73, 2903 (1994).
C.-T. Liang, Y.-R. Li, L.-H. Lin, P.-T. Lin, C.-K. Yang, Y. S. Tseng, K. Y. Chen, N. R. Cooper, M. Y. Simmons and D. A. Ritchie, Appl. Phys. Lett. 92, 152117 (2008).
C.-S. Hsu, E. S. Kannan, J.-C. Portal, C.-T. Liang, C. F. Huang and S.-D. Lin, Solid State Commun. 156, 45 (2013).
G.-H. Kim, J. T. Nicholls, C.-T. Liang, D. A. Ritchie and S. I. Khondaker, Physica E 12, 658 (2002).
G.-H. Kim, J. T. Nicholls, D. A. Ritchie, S. I. Khondaker, C.-T. Liang and T. W. Kim, J. Korean Phys. Soc. 42, S454 (2003).
G.-H. Kim, C.-T. Liang, C. F. Huang, M. H. Lee, J. T. Nicholls and D. A. Ritchie, Physica E 17, 292 (2003).
G.-H. Kim, C.-T. Liang, C. F. Huang, J. T. Nicholls, D. A. Ritchie, P. S. Kim, C. H. Oh, J. R. Juang and Y. H. Chang, Phys. Rev. B 69, 073311 (2004).
T.-Y. Huang, J. R. Juang, C. F. Huang, G.-H. Kim, C. P. Huang, C.-T. Liang, Y. H. Chang, Y. F. Chen, Y. Lee and D. A. Ritchie, Physica E 22, 240 (2004).
G.-H. Kim, C.-T. Liang, C. F. Huang and D. A. Ritchie, AIP Conference Proceedings 772, 575 (2005).
T.-Y. Huang, C.-T. Liang, G.-H. Kim, C. F. Huang, C. P. Huang, J.-Y. Lin, H. S. Goan and D. A. Ritchie, Phys. Rev. B, 78, 113305 (2008).
K. Y. Chen, Y. H. Chang and C.-T. Liang, N. Aoki, Y. Ochiai, C. F. Huang, L.-H. Lin, K. A. Cheng, H. H. Cheng, H. H. Lin, J.-Y. Wu and S.-D. Lin, Journal of Physics: Condensed Matter 20, 295223 (2008).
K. Y. Chen, C.-T. Liang, N. Aoki, Y. Ochiai, K. A. Cheng, L.-H. Lin, C. F. Huang, Y.-R. Li, Y. S. Tseng, C.-K. Yang, P.-T. Lin, J.-Y. Wu and S.-D. Lin, J. Korean Phys. Soc. 55, 64 (2009).
T.-Y. Huang, C. F. Huang, G.-H. Kim, C.-P. Huang, C.-T. Liang and D. A. Ritchie, Chin. J. Phys. 47, 401 (2009).
T.-Y. Huang, C.-T. Liang, G.-H. Kim, C. F. Huang, C.-P. Huang and D. A. Ritchie, Physica E 42, 1142 (2010).
S.-T. Lo et al., Solid State Commun. 150, 1902 (2010).
Y.-T. Wang et al., J. Phys. Condens. Matter 24, 405801 (2012).
D.-S. Luo et al., Nanoscale Res. Lett. 6, 139 (2011).
H. Scherer, L. Schweitzer, F. J. Ahlers, L. Bliek, R. Losch and W. Schlapp, Semicond. Sci. Technol. 10, 963 (1995).
S. Hikami, A. I. Larkin and Y. Nagaoka, Prog. Theor. Phys. 63, 707 (1980).
B. L. Altshuler, D. Khmelnitskii, A. I. Larkin and P. A. Lee, Phys. Rev. B 22, 5142 (1980).
C. W. J. Beenakker and H. van Houten, Phys. Rev. B 38, 3232 (1988).
K. K. Choi, D. C. Tsui and K. Alavi, Phys. Rev. B 36, 7751 (1987).
E. Abrahams, P. W. Anderson, P. A. Lee and T. V. Ramakrishnan, Phys. Rev. B 24, 6783 (1981).
K. K. Choi, Phys. Rev. B 28, 5774 (1983).
P. Mohanty, E. M. Q. Jariwala and R. A. Webb, Phys. Rev. Lett. 78, 3366 (1997).
J. J. Lin and J. P. Bird, J. Phys.: Condens. Matter 14, R501 (2002).
T. Brandes, L. Schweitzer and B. Kramer, Phys. Rev. B 72, 3582 (1994).
S. Koch, R. J. Haug, K. Klitzing and K. Ploog, Semicond. Sci. Technol. 10, 209 (1995).
J. H. Chen, J. Y. Lin, J. K. Tsai, H. Park, G.-H. Kim, D. Youn, H. I. Cho, E. J. Lee, J. H. Lee, C.-T. Liang and Y. F. Chen, J. Korean Phys. Soc. 48, 1539 (2006).
S.-K. Lin et al., J. Appl. Phys. 97, 046101 (2005).
D. R. Hang, C.-T. Liang, J. R. Juang, T.-Y. Huang, W. K. Hung, Y. F. Chen, G.-H. Kim, J.-H. Lee and J.-H. Lee, J. Appl. Phys. 93, 2055 (2003).
J. R. Juang, T.-Y. Huang, T.-M. Chen, M.-G. Lin, Y. Lee, C.-T. Liang, D. R. Hang, Y. F. Chen and J.-I. Chyi, J. Appl. Phys. 94, 3181 (2003).
K. S. Cho, T.-Y. Huang, C. P. Huang, Y. H. Chiu, C.-T. Liang, Y. F. Chen and I. Lo, J. Appl. Phys. 96, 7370 (2004).
K. S. Cho, C.-T. Liang, Y. F. Chen, Y. Q. Tang and B. Shen, Phys. Rev. B 75, 085327 (2007).
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Wang, YT., Yang, CK., Lin, SD. et al. Electron heating and current scaling in a two-dimensional electron system in close proximity to nanoscale scatterers. Journal of the Korean Physical Society 64, 1407–1411 (2014). https://doi.org/10.3938/jkps.64.1407
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DOI: https://doi.org/10.3938/jkps.64.1407