Abstract
The conductance of a ballistic elliptically shaped quantum wire is investigated theoretically. It is shown that the effect of the curvature results in a strongly oscillating dependence of the conductance on the applied bias.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
H. Jensen and H. Koppe, Ann. Phys. (N. Y.) 63, 586 (1971).
R. C. T. da Costa, Phys. Rev. A 23, 1982 (1981).
J. Marcus, J. Chem. Phys. 45, 4493 (1966).
E. Switkes, E. L. Russell, and J. L. Skinner, J. Chem. Phys. 67, 3061 (1977).
P. Exner and P. Šeba, J. Math. Phys. 30, 2574 (1989).
P. Duclos and P. Exner, Rev. Math. Phys. 7, 73 (1995).
I. J. Clark and A. J. Bracken, J. Phys. A 29, 339 (1996).
I. J. Clark and A. J. Bracken, J. Phys. A 29, 4527 (1996).
L. I. Magarill, D. A. Romanov, and A. V. Chaplik, Zh. Éksp. Teor. Fiz. 110, 669 (1996) [JETP 83, 361 (1996)].
L. I. Magarill and A. V. Chaplik, Pis’ma Zh. Éksp. Teor. Fiz. 68, 136 (1998) [JETP Lett. 68, 148 (1998)].
L. I. Magarill, D. A. Romanov, and A. V. Chaplik, Usp. Fiz. Nauk 170, 325 (2000).
A. Namiranian, M. R. H. Khajehpour, Yu. A. Kolesnichenko, and S. N. Shevchenko, Physica E (Amster-dam) (2001) (in press).
V. Ya. Prinz, V. A. Seleznev, V. A. Samoylov, and A. K. Gutakovsky, Microelectron. Eng. 30, 439 (1996).
M. Kugler and S. Shtrikman, Phys. Rev. D 37, 934 (1988).
R. Y. Chiao and Y. S. Wu, Phys. Rev. Lett. 57, 933 (1986); A. Tomita and R. Y. Chiao, Phys. Rev. Lett. 57, 937 (1986).
J. Goldstone and R. L. Jaffe, Phys. Rev. B 45, 14100 (1992).
R. Landauer, IBM J. Res. Dev. 1, 233 (1957).
E. T. Whittaker and G. N. Watson, A Course of Modern Analysis (Cambridge Univ. Press, Cambridge, 1927).
E. Kamke, Differentialgleichungen; Lösungsmethoden und Lösungen (Geest and Portig, Leipzig, 1959; Nauka, Moscow, 1976).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory (Nauka, Moscow, 1963; Pergamon, New York, 1965).
Author information
Authors and Affiliations
Additional information
From Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 119, No. 5, 2001, pp. 931–936.
Original English Text Copyright © 2001 by Shevchenko, Kolesnichenko.
This article was submitted by the authors in English.
Rights and permissions
About this article
Cite this article
Shevchenko, S.N., Kolesnichenko, Y.A. Conductance of the elliptically shaped quantum wire. J. Exp. Theor. Phys. 92, 811–815 (2001). https://doi.org/10.1134/1.1378172
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1378172