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This article is cited in 53 scientific papers (total in 53 papers)
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Localized–delocalized electron quantum phase transitions
V. F. Gantmakher, V. T. Dolgopolov Institute of Solid State Physics, Russian Academy of Sciences
Abstract:
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.
Received: October 8, 2007
Citation:
V. F. Gantmakher, V. T. Dolgopolov, “Localized–delocalized electron quantum phase transitions”, UFN, 178:1 (2008), 3–24; Phys. Usp., 51:1 (2008), 3–22
Linking options:
https://www.mathnet.ru/eng/ufn551 https://www.mathnet.ru/eng/ufn/v178/i1/p3
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