Localized – delocalized electron quantum phase transitions

V.F. Gantmakher, V.T. Dolgopolov
Osipyan Institute of Solid State Physics, Russian Academy of Sciences, Akademika Osip'yana str. 2, Chernogolovka, Moscow Region, 142432, Russian Federation

Metal-insulator transitions and transitions between different quantum Hall liquids are used to describe the physical ideas forming the basis of quantum phase transitions and the methods of application of theoretical results in processing experimental data. The following two theoretical schemes are discussed and compared: the general theory of quantum phase transitions, which has been developed according to the theory of thermodynamic phase transitions and relies on the concept of a partition function, and a theory that is based on a scaling hypothesis and the renormalization-group concept borrowed from quantum electrodynamics, with the results formulated in terms of flow diagrams.

PACS: 71.30.+h, 72.15.Rn, 73.43.Nq (all)
DOI: 10.1070/PU2008v051n01ABEH006471
URL: https://ufn.ru/en/articles/2008/1/b/
Web of Science

000256193500002
Scopus

2-s2.0-43949147246
Citation: Gantmakher V F, Dolgopolov V T "Localized-delocalized electron quantum phase transitions" Phys. Usp. 51 3–22 (2008)

BibTex

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%0 Journal Article
%T Localized – delocalized electron quantum phase transitions
%A V. F. Gantmakher
%A V. T. Dolgopolov
%I Physics-Uspekhi
%D 2008
%J Phys. Usp.
%V 51
%N 1
%P 3-22
%U https://ufn.ru/en/articles/2008/1/b/
%U https://doi.org/10.1070/PU2008v051n01ABEH006471

Оригинал: Гантмахер В Ф, Долгополов В Т «Квантовые фазовые переходы „локализованные-делокализованные электроны“» УФН 178 3–24 (2008); DOI: 10.3367/UFNr.0178.200801a.0003