Abstract
We study Mott’s variable-range hopping for one-dimensional systems taking into account the exact form of the states when they are not extremely localized, which corresponds to the experimental regime. We obtain an effective localization length for hopping different from the one deduced from zero temperature conductance. Quantum effects increase the average resistance without qualitatively changing Mott’s law. They are even more important in resistance fluctuations and cannot be neglected. Quantum contributions to resistance fluctuations still lead to a (T 0/T)1/2 behavior, contrary to other predictions.
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
P. A. Lee, Phys. Rev. Lett. 53, 2042 (1984).
A. B. Fowler, A. Hartstein, and R. A. Webb, Phys. Rev. Lett. 48, 196 (1982).
A. Miller and E. Abrahams, Phys. Rev. 120, 745 (1960).
J. Kurkijarvi, Phys. Rev. B 8, 922 (1973).
R. A. Serota, R. K. Kalia and P. A. Lee, Phys. Rev. B 33, 8441 (1986).
M. E. Raikh and I. M. Ruzin, in Mesoscopic Phenomena in Solids, edited by B. I. Altshuler, P. A. Lee and R. A. Webb, Elsevier Science, Amsterdam, (1991).
F. Ladieu and J. P. Bouchaud, J. Phys. I France 3, 2311 (1993).
B. Kramer, A. Kawabata and M. Schreiber, Phil. Mag. B 65, 595 (1992).
R. J. F. Hughes, et al. Phys. Rev. B 54, 2091 (1996).
F. Ladieu, D. Mailly and M. Sanquer, J. Phys. I France. 3, 2321 (1993).
N. F. Mott and E. A. Davies, Electronic Processes in Non-crystalline Materials, Clarendom Press, Oxford, (1979).
A. D. Mirlin, Phys. Rep. 326, 259 (2000); Y. V. Fyodorov and A. D. Mirlin, Int. J. Mod. Phys. B 8, 3795 (1994).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Kluwer Academic Publishers
About this chapter
Cite this chapter
Prior, J., Ortuño, M., Somoza, A.M. (2004). Variable-Range Hopping in One-Dimensional Systems. In: Lerner, I.V., Altshuler, B.L., Gefen, Y. (eds) Fundamental Problems of Mesoscopic Physics. NATO Science Series II: Mathematics, Physics and Chemistry, vol 154. Springer, Dordrecht. https://doi.org/10.1007/1-4020-2193-3_18
Download citation
DOI: https://doi.org/10.1007/1-4020-2193-3_18
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-2192-3
Online ISBN: 978-1-4020-2193-0
eBook Packages: Springer Book Archive