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UFN, 1996, Volume 166, Number 7, Pages 697–715 (Mi ufn1202)  

This article is cited in 3 scientific papers (total in 3 papers)

REVIEWS OF TOPICAL PROBLEMS

Self-consistent theory of localization within site and wave approaches

A. I. Olemskoi

Sumy State University

Abstract: The mutual complementarity of the Anderson site representation and the Edwards wave approach is considered within the frame work of the quantum-statistical theory. The former is used for the description of one-particle excitations. Based on the permutational symmetry analysis of the wave function, it is shown that the symmetry of the Anderson Hamiltonian exceeds that of the space of states. Transition to an extended state is represented within the framework of the quasi-averages theory as a phase transition of order 2+δ , where δ → 0 is an addition caused by the appearance of a logarithm. A study of the collective mode is possible within the framework of the Edwards wave representation. The examination is reduced to determining the charge distribution autocorrelation function which is expressed in terms of higher correlators of current density and generalised force, using the Mori technique. Dependences of the conductivity and polarizability on the level spread width and Fermi energy are determined. The form of the frequency dependence of the conductivity as well as the spatial dispersion pattern are analyzed.

DOI: https://doi.org/10.3367/UFNr.0166.199607a.0697

Full text: PDF file (3257 kB)
Full text: http://www.ufn.ru/ru/articles/1996/7/a/

English version:
Physics–Uspekhi, 1996, 39:7, 651–668

Bibliographic databases:

PACS: 73.20.Jc, 71.25.-s, 67.40.Db
Received: June 1, 1996

Citation: A. I. Olemskoi, “Self-consistent theory of localization within site and wave approaches”, UFN, 166:7 (1996), 697–715; Phys. Usp., 39:7 (1996), 651–668

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    This publication is cited in the following articles:
    1. Bakhadyrkhanov M., Iliev K., Ayupov K., Sattorov O., “Magnetic Field Sensor Based on Compensated Silicon”, Tech. Phys. Lett., 29:9 (2003), 705–707  crossref  adsnasa  isi  scopus
    2. Golovashkin A., Kumichev N., Slavkin V., “Simple High-Temperature Superconducting Yttrium Cuprate-Based Device for Measuring Weak Magnetic Fields”, Tech. Phys., 51:3 (2006), 373–377  crossref  isi  elib  scopus
    3. A. V. Mokshin, “Self-consistent approach to the description of relaxation processes in classical multiparticle systems”, Theoret. and Math. Phys., 183:1 (2015), 449–477  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
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