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Quantum Hall effects in normal and superconducting systems: localization and multifractality
Author(s) -
Evers Ferdinand,
Mildenberger Achim,
Mirlin Alexander D.
Publication year - 2008
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.200743324
Subject(s) - quantum hall effect , quantum spin hall effect , condensed matter physics , physics , quantum , fractional quantum hall effect , superconductivity , multifractal system , thermal hall effect , criticality , delocalized electron , quantum mechanics , magnetic field , mathematics , fractal , mathematical analysis , nuclear physics
We study quantum phases and localization–delocalization transitions between these phases in three types of quantum Hall effects. These include the conventional integer quantum Hall effect, as well as its counterparts taking place in super‐ conducting systems: spin quantum Hall effect and thermal quantum Hall effect. A particular emphasis is put on multifractal behavior of wave functions at criticality. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)