Title
Theory and phenomenology for a variety of classical and quantum phase transitions Theory and phenomenology for a variety of classical and quantum phase transitions
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Basel ,
Subject
Mathematics
Chemistry
Source (journal)
Journal of mathematical chemistry. - Basel
Volume/pages
51(2013) :7 , p. 1694-1711
ISSN
0259-9791
ISI
000321765600003
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In this review, we first introduce recent progress in the mathematical structure of the three-dimensional Ising model, from the points of view of topologic, algebraic and geometric aspects. Then we discuss in turn Anderson localization due to disorder and then first- and second-order metal-insulator transitions, depending on electron correlation, with and without a magnetic field. Finally, we make intimate contact with the phase diagram showing the equilibrium between low temperature regimes of the magnetically induced Wigner electron solid and the so-called Laughlin electron liquid in the two-dimensional case.
E-info
https://repository.uantwerpen.be/docman/iruaauth/76363f/53d5360.pdf
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