Abstract
This is an introduction to the problemof quantumin terferences in disordered insulators, and their implication in the magnetoconductance at low temperature. In particular, we will show that a positive exponential magnetoconductance in the variable range hopping regime is related to a variation of the localization length with a magnetic flux applied. We also describe the crossover to the strongly insulating case, i.e. the case of insulators with moderate disorder, and comment on possible role of interaction on the magnetoconductance.
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
B.I. Shklovskii, A.L. Efros: Electronic Properties of Doped Semiconductors, Springer series in Solid State Sciences 45 (Springer-Verlag 1984)
J.L. Pichard: p397 ‘Randomtransfer matrix theory and conductance fluctuations’ in ‘Quantum coherence in mesoscopic systems’, ed. B. Kramer, NATO ASI Series, Plenum Series B: Physics Vol 254 (1991) J.L. Pichard et al.: Phys. Rev. Lett. 65, 1812 (1990) J.L. Pichard, M. Sanquer: Physica A 167, 66 (1990)
V.L. Nguyen, B.Z. Spivak, B.I. Shklovskii: JETP Lett. 41, 42 (1985)
M.E. Raikh, L.I. Glazman: Phys. Rev. Lett. 75, 128 (1995)
J.H.F. Scott-Thomas et al.: Phys. Rev. Lett. 62, 583 (1989)
H. Van Houten et al.: ‘Coulomb blockade oscillations in semiconducting structures’ in Single Charge Tunneling, H. Grabert, M.H. Devoret eds. Plenum, New York (1991)
H. Ishikuro, T. Hiramoto: Applied Phys. Lett. 71, 3691 (1997)
M. Sanquer et al.: Phys. Rev. B 61, 7249 (2000)
for instance: S. Ilani et al.: Phys. Rev. Lett. 84, 3133 (2000) and reference herein
A.I. Larkin, K.A. Matveev: JETP 66, 580 (1987)
N.F. Mott: J. Non-Cryst. Solids 1, 1 (1968)
V. Ambegaokar, B.I. Halperin, J.S. Langer: Phys. Rev. B 4, 2612 (1971)
J. Kurkijarvii: Phys. Rev. B 8, 922 (1973)
M.Y. Azbel, A. Harstein, D.P. DiVincenzo: Phys. Rev. Lett. 52, 1641 (1984)
P.A. Lee: Phys. Rev. Lett. 53, 2042 (1984)
M.E. Raikh, I.M. Ruzin: Sov. Phys. JETP 68, 642 (1989)
F.P. Milliken, Z. Ovadyahu: Phys. Rev. Lett. 65, 911 (1990)
J.P. Spriet, G. Biskupski, H. Dubois, A. Briggs: Phil. Mag. B54, L95 (1986)
F. Tremblay et al.: Phys. Rev. B 39, 8059 (1989)
R. Rentzsch, K.J. Friedland, A.N. Ionov: Phys. Stat. Sol b 146, 199 (1988)
F.W. Van Keuls et al.: Phys. Rev. B 56, 1161 (1997)
Y. Toyozawa: J. Phys. Soc. Jpn. 17, 986 (1962)
K. Yosida: Phys. Rev. 107, 396 (1957)
B.L. Altshuler, A.G. Aronov, D.E. Khmel’nitskii: JETP Letters 36, 195 (1982)
D.E. Khmelnitskii, A.I. Larkin: Solid State Comm. 39, 1069 (1981)
B. Shapiro: Phil. Mag B50, 241 (1984)
H. Fukuyama, K. Yosida: J. Phys. Soc. Jpn. 46, 102 (1979)
M.E. Raikh et al.: Phys. Rev. B 45, 6015 (1992)
W. Schirmacher: Phys. Rev. B 41, 2461 (1990)
E. Medina, M. Kardar: Phys. Rev. B 46, 9984 (1992)
H.L. Zhao and al.: Phys. Rev. B 44, 10760 (1991)
U. Sivan, O. Entin-Wohlman, Y. Imry: Phys. Rev. Lett. 60, 1566 (1988)
J.P. Bouchaud: J. Phys. I France 1, 985 (1991)
J.P. Bouchaud, D. Sornette: Europhys. Lett. 17, 721 (1992)
M.E. Gershenson et al.: Phys. Rev. Lett. 79, 725 (1997)
W. Poirier, D. Mailly, M. Sanquer: Phys. Rev. B 59, 10856 (1999)
H. Kamimura: Prog. Theoret. Physics Suppl. 72, 206 (1982)
M. Eto: Phys. Rev. B 48, 4933 (1993)
L.I. Glazman, K.A. Matveev: JETP Lett. 48, 445 (1988)
D. Ephron, Y. Xu, M.R. Beasley: Phys. Rev. Lett. 69, 3112 (1992)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Sanquer, M. (2002). Interference Effects in Disordered Insulators. In: Berthier, C., Lévy, L.P., Martinez, G. (eds) High Magnetic Fields. Lecture Notes in Physics, vol 595. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45649-X_17
Download citation
DOI: https://doi.org/10.1007/3-540-45649-X_17
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43979-0
Online ISBN: 978-3-540-45649-0
eBook Packages: Springer Book Archive