Abstract
During five years after the theoretical prediction [1–3] and the experimental discovery [4–9] of conductance fluctuations in small (‘mesoscopic’) samples, the ‘mesoscopics’ became quite a wide field where a lot of experimental results were obtained and a lot of theoretical approaches were developed. Many of them shall be presented in a wide spectrum of contributions to our meeting. In my lectures I will try to review the theoretical results obtained in the framework of rigorous perturbative calculations. By perturbative ones, I mean not only calculations performed to the first few orders but also those including summation of the leading infinite series.
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
A.D. Stone, Phys. Rev. Lett. 54, 2692 (1985)
B.L. Altshuler, Sov. Phys. JETP Lett. 41, 648 (1985)
P.A. Lee and A.D. Stone, Phys. Rev. Lett. 54, 1622 (1985)
R.A. Webb, S. Washburn, C.P. Umbach, and R.B. Laibowitz, Phys. Rev. Lett. 54, 2696 (1985)
S. Washburn, C.P. Umbach, R.B. Laibowitz, and R.A. Webb, Phys. Rev. B 32, 4789 (1985)
C.P. Umbach, C. Van Haesendonck, R.B. Laibowitz, S. Washburn, and R.A. Webb, Phys. Rev. Lett. 56, 386 (1985)
V. Chandrasekhar, M.J. Rooks, S. Wind, and D.E. Prober, Phys. Rev. Lett. 55, 1610 (1985)
S. Datta, M. Melloch, S. Bandyopadhyay, R. Noren, M. Vaziri, M. Millier, and R. Reifenberger, Phys. Rev. Lett. 55, 2344 (1985)
D.C. Licini, D.J. Bishop, M.A. Kastner, and J. Melngailis, Phys. Rev. Lett. 55, 2987 (1985)
B.L. Altshuler and D.E. Khmelnitskii, Sov. Phys. JETP Lett. 42, 359 (1985)
B.L. Altshuler, V.E. Kravtsov, and I.V. Lerner, Sov. Phys. JETP 64, 1352 (1986)
B.L. Altshuler, V.E. Kravtsov, and I.V. Lerner, Phys. Lett. 134 A, 488, (1989)
B. Huckestein, Physica A 167, 175 (1990)
T. Ando and Y. Uemura, J. Phys. Soc. Jpn. 36, 959 (1974)
J. T. Chalker and P. D. Coddington, J. Phys. C 21, 2665 (1988)
H. P. Wei, D. C. Tsui, M. Paalanen, and A. M. M. Pruisken, Phys. Rev. Lett. 61, 1294 (1988);
H. P. Wei, S. W. Hwang, D. C. Tsui, and A. M. M. Pruisken, Surf. Sci. 229, 34 (1990)
B. L. Altshuler, A. G. Aronov, and D. E. Khmel’nitskii, J. Phys. C 15, 7367 (1982)
I.V. Lerner, Phys. Lett. 133 A, 253 (1988)
I.V. Lerner, Sov. Phys. JETP 68, 143 (1989)
V.E. Kravtsov, I.V. Lerner, and V.I. Yudson, Sov. Phys. JETP 94, 259 (1988)
V.E. Kravtsov, I.V. Lerner, and V.I. Yudson, Phys. Lett. 134 A, 245 (1989)
I.V. Lerner and F. Wegner, Z. Phys. B, in print (1990)
B.L. Altshuler, V.E. Kravtsov, and I.V. Lerner, Sov. Phys. JETP Lett. 45, 199 (1987)
B.L. Altshuler, V.E. Kravtsov, and I.V. Lerner, Sov. Phys. JETP 67, 795 (1988)
S. Hikami, Phys. Rev. B 24, 2671 (1981)
L.P. Gor’kov, A.I. Larkin, and D.E. Khmel’nitskii, Sov. Phys. JETP Lett. 30, 228 (1979)
S. Washburn and R.A. Webb, Adv. Phys. 35, 375 (1986)
S.B. Kaplan and A. Hartstein, Phys. Rev. Lett. 56, 2403 (1986)
B.L. Altshuler, V.E. Kravtsov, and I.V. Lerner, Sov. Phys. JETP Lett. 43, 441 (1986)
D.Yu. Sharvin and Yu.V. Sharvin, Sov. Phys. JETP Lett. 34, 272 (1981)
B.L. Altshuler, A.G. Aronov, and B.Z. Spivak, Sov. Phys. JETP Lett. 33, 94 (1981)
P.A. Lee and T.V. Ramakrishnan, Rev. Mod. Phys. 57, 287 (1985)
E. Abrahams, P.W. Anderson, D.C. Licciardello, and T.V. Ramakrishnan, Phys. Rev. Lett. 42, 673 (1979)
A.G. Aronov, A.I. Zyuzin, and B.Z. Spivak, Pis’ma v ZhETP 43, 431 (1986)
A.I. Zyuzin and B.Z. Spivak, Zh. Eksp. Teor. Phys. 93, 994 (1987)
S. Maekawa, Y. Isawa, and H. Ebisawa, J. Phys. Soc. Jpn. 56, 25 (1987)
M. Büttiker, Phys. Rev. B 35, 4123 (1987)
C.L. Kane, R.A. Serota, and P.A. Lee, Phys. Rev. B 37, 6701 (1988)
H.U. Baranger, A.D. Stone, and D.P. DiVincenzo, Phys. Rev. B 37, 6521 (1988)
S. Hershfield and V. Ambegaokar, Phys. Rev. B 38, 7909 (1988)
F. Wegner, Z. Phys. B 35, 207 (1979)
L. Schäfer and F. Wegner, Z. Phys. B 38, 113 (1980)
K.B. Efetov, A.I. Larkin, and D.E. Khmel’nitskii, Sov. Phys. JETP 52, 568 (1980)
A. Houghton, A. Jevicky, R.D. Kenway, and A.M.M. Pruisken, Phys. Rev. Lett. 45, 394 (1980)
A.J. McKane and M. Stone, Ann. Phys. (N.Y.) 131, 36 (1981)
K.B. Efetov,Sov. Phys. JETP 82, 872 (1982)
A.M.M. Pruisken and L. Schäfer, Nucl. Phys. B 200, 20 (1982)
V.E. Kravtsov and I.V. Lerner, Sov. Phys. JETP 61, 758 (1985)
V.E. Kravtsov and I.V. Lerner, Sov. Phys. Sol. St. 29, 259 (1987)
B.L. Altshuler, V.E. Kravtsov, and I.V. Lerner,NORD ITA Preprint 89/56 S, 1–93 (1989)
R.A. Serota, F.P. Esposito, and M. Ma, Phys. Rev. B 39, 2952 (1989)
V.I. Mel’nikov, Sov. Phys. Sol. St. 23, 444 (1981)
A.A. Abrikosov,Sol. St. Commun. 37, 997 (1981)
P.W. Anderson, D.C. Thouless, E. Abrahams, and D.E. Fisher, Phys. Rev. B 22, 3519 (1980)
B.L. Altshuler and V.N. Prigodin, Sov. Phys. JETP Lett. 45, 687 (1987)
B.L. Altshuler and V.N. Prigodin, Sov. Phys. JETP 67, 135 (1988)
B. Shapiro, Phil. Mag. B 56, 1031 (1987)
Y. Imry, Europhys. Lett. 1, 249 (1986)
R. Landauer, IBM J. Res. Dev. 1, 223 (1957)
B.L. Altshuler, V.E. Kravtsov, and I.V. Lerner, in: Laser Optics of Condensed Matter, 217–222, Plenum Publishing Corp., N.Y. (1988)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer Science+Business Media New York
About this chapter
Cite this chapter
Lerner, I.V. (1991). Rigorous Perturbation Results in the Theory of Mesoscopic Fluctuations: Distribution Functions and Time-Dependent Phenomena. In: Kramer, B. (eds) Quantum Coherence in Mesoscopic Systems. NATO ASI Series, vol 254. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3698-1_18
Download citation
DOI: https://doi.org/10.1007/978-1-4899-3698-1_18
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-3700-1
Online ISBN: 978-1-4899-3698-1
eBook Packages: Springer Book Archive