Abstract
We evaluate the RC-time of edge states capacitively coupled to a gate located away from a QPC which allows for partial transmission of an edge channel. At long times or lowfrequencies the RC-time governs the relaxation of charge and current and governs the fluctuations of the equilibrium electrostatic potential. The RC-time in mesoscopic structures is determined by an electrochemical capacitance which depends on the density of states of the edge states and a charge relaxation resistance. In the non-equilibrium case, in the presence of transport, the shot noise leads to charge fluctuations in proximity of the gate which are again determined by the equilibrium electrochemical capacitance but with a novel resistance. The case of multiple edge states is discussed and the effect of a dephasing voltage probe on these resistances is investigated. The potential fluctuations characterized by these capacitances and resistances are of interest since they determine the dephasing rate in Coulomb coupled mesoscopic conductors.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
M. Büttiker, Phys. Rev. B46, 12485 (1992).
M. Field, C. G. Smith, M. Pepper, D. A. Ritchie, J. E. F. Frost, G. A. C. Jones and D. G. Hasko, Phys. Rev. Lett. 70, 1311 (1993).
M. Kataoka, C. J. B. Ford, G. Faini, D. Mailly, M. Y. Simmons, D. R. Mace, C.-T. Liang and D. A. Ritchie, Phys. Rev. Lett. 83, 160 (1999).
E. Buks, R. Schuster, M. Heiblum, D. Mahalu and V. Umansky, Nature 391, 871 (1998).
D. Sprinzak, E. Buks, M. Heiblum, H. Shtrikman, (unpublished). condmat/ 9907162
M. Büttiker, H. Thomas, and A. Prêtre, Phys. Lett. A 180, 364 (1993).
M. Büttiker, J. Math. Phys., 37, 4793 (1996).
T. Christen and M. Büttiker, Phys. Rev. Lett. 77, 143 (1996): M. Büttiker and T. Christen, in Mesoscopic Electron Transport, NATO ASI, Series E: Applied Science, edited by L. L. Sohn, L. P. Kouwenhoven and G. Schoen, (Kluwer Academic Publishers, Dordrecht, 1997) Vol. 345. p. 259. cond-mat/9610025.
V. A. Khlus, Sov. Phys. JETP 66, 1243 (1987); G. B. Lesovik, JETP Lett. 49, 592 (1989).
Ya. M. Blanter, F.W.J. Hekking, and M. Büttiker, Phys. Rev. Lett. 81, 1925 (1998).
M. H. Pedersen, S. A. van Langen and M. Büttiker, Phys. Rev. B 57, 1838 (1998).
M. Büttiker, Phys. Rev. B38, 9375, (1988).
W. Chen, T. P. Smith, M. Büttiker, and M. Shayegan, Phys. Rev. Lett. 73, 146 (1994).
M. Büttiker, J. Phys. Condensed Matter 5, 9361 (1993).
M. Büttiker and A. M. Martin, (unpublished). cond-mat/9902320.
Y. B. Levinson, (unpublished). cond-mat/9907055; Europhys. Lett. 39, 299 (1997).
Y. B. Levinson, Sov. Phys. JETP 68, 1257 (1989).
B. L. Altshuler, A. G. Aronov and D. Khmelnitskii, J. Phys. C15, 7367 (1982).
J. S. Moon, J. A. Simmons, J. L. Reno, B. L. Johnson, Phys. Rev. Lett. 79, 4457 (1997).
A. M. Martin, T. Gramespacher, M. Buttiker, (unpublished). condmat/9907240
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Büttiker, M. (1999). Shot Noise Induced Charge and Potential Fluctuations of Edge States in Proximity of a Gate. In: Reguera, D., Rubí, J.M., Platero, G., Bonilla, L.L. (eds) Statistical and Dynamical Aspects of Mesoscopic Systems. Lecture Notes in Physics, vol 547. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45557-4_8
Download citation
DOI: https://doi.org/10.1007/3-540-45557-4_8
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-67478-8
Online ISBN: 978-3-540-45557-8
eBook Packages: Springer Book Archive