Localized - delocalized electron quantum phase transitions

Details Localized - delocalized electron quantum phase transitions Localized - delocalized electron quantum phase transitions

2008-03-25

arxiv.org/abs/0803.3509v1

Physics - Uspekhi, 51, 1 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

27 pages, 20 figures

Scientific paper

10.1070/PU2008v051n01ABEH006471

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 which is based on a scaling hypothesis and the renormalization-group concept borrowed from quantum electrodynamics, with the results formulated in terms of flow diagrams.

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