Theory and phenomenology for a variety of classical and quantum phase transitions

被引：2

作者：

March, N. H. ^{[1
,2
,3
,4
]}

Zhang, Z. D. ^{[5
]}

机构：

[1] Donostia Int Phys Ctr, San Sebastian, Spain

[2] Univ Antwerp, Dept Phys, B-2020 Antwerp, Belgium

[3] Abdus Salam Int Ctr Theoret Phys, Trieste, Italy

[4] Univ Oxford, Oxford, England

[5] Chinese Acad Sci, Inst Met Res, Shenyang Natl Lab Mat Sci, Shenyang 110016, Peoples R China

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 2013年 / 51卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Ising model; Anderson localization; Metal-insulator transitions; Classical phase transitions; Quantum phase transitions; Laughlin electron liquid; Wigner electron solid; ORTHORHOMBIC ISING LATTICES; RECENT CONJECTURED SOLUTION; VAPOR CRITICAL-POINT; CRITICAL EXPONENTS; TETRAHEDRON EQUATION; INTEGRABLE MODELS; METAL-INSULATOR; ORDER-DISORDER; DIMENSIONS; LIQUID;

D O I：

10.1007/s10910-013-0181-4

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

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.

引用

页码：1694 / 1711

页数：18

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