Abstract
The temperature-dependent ballistic conductance of a quantum wire is calculated without consideration of carrier scattering. The contribution to the conductance (G) from size-quantization subbands with E j - μ ≫ kT is described by the Landauer-Büttiker formula G=2e 2/h, where e is the elementary charge, h is Planck’s constant, μ(T) is the electrochemical potential, E j is the j-th subband bottom, T is temperature, and k is the Boltzmann constant. The contribution from other subbands decreases as their number increases, being exponentially small for higher subbands. The quantum staircase disappears when kT approaches the energy spacing between the size-quantization levels. Such temperature quenching of the quantum staircase at gate potentials corresponding to a stepwise change in the ballistic conductance is observed in studies of the quantized conductance of a silicon quantum wire.
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References
R. Landauer, J. Res. Dev. 1, 233 (1957).
M. Büttiker, Phys. Rev. Lett. 57, 1761 (1986).
D. A. Wharam, T. J. Thornton, R. Newbury, et al., J. Phys. C 21, L209 (1988).
B. J. van Wees, H. van Houten, C. W. J. Beenakker, et al., Phys. Rev. Lett. 60, 848 (1988).
L. P. Kouwenhoven, B. J. van Wees, C. J. P. M. Harmans, et al., Phys. Rev. B 39, 8040 (1989).
A. I. Ansel’m, Introduction to the Theory of Semiconductors (Nauka, Moscow, 1978).
N. T. Bagraev, E. I. Chaikina, L. E. Klyachkin, et al., Superlattices Microstruct. 23, 337 (1998).
N. T. Bagraev, L. E. Klyachkin, A. M. Malyarenko, and W. Gehlhoff, Superlattices Microstruct. 23, 1333 (1998).
N. T. Bagraev, V. Gel’khoff, V. K. Ivanov, et al., Fiz. Tekh. Poluprovodn. (St. Petersburg) 34, 97 (2000) [Semiconductors 34 (2000) (in press)].
W. Gehlhoff, N. T. Bagraev, and L. E. Klyachkin, Solid State Phenom. 47/48, 389 (1996).
C.-T. Liang, M. Y. Simmons, C. G. Smith, et al., Phys. Rev. Lett. 81, 3507 (1998).
Y. Nakajima, Y. Takahashi, S. Horiguchi, et al., in Extended Abstract of the International Conference SSDM, Yokohama, Japan, 1994, p. 538.
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Translated from Fizika i Tekhnika Poluprovodnikov, Vol. 34, No. 6, 2000, pp. 737–741.
Original Russian Text Copyright © 2000 by Bagraev, Ivanov, Klyachkin, Malyarenko, Shelykh.
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Bagraev, N.T., Ivanov, V.K., Klyachkin, L.E. et al. Ballistic conductance of a quantum wire at finite temperatures. Semiconductors 34, 712–716 (2000). https://doi.org/10.1134/1.1188059
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DOI: https://doi.org/10.1134/1.1188059