Title
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Theory and phenomenology for a variety of classical and quantum phase transitions
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Author
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Abstract
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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. |
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Language
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English
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Source (journal)
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Journal of mathematical chemistry. - Basel
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Publication
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Basel
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2013
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ISSN
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0259-9791
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DOI
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10.1007/S10910-013-0181-4
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Volume/pages
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51
:7
(2013)
, p. 1694-1711
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ISI
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000321765600003
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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