Theory and phenomenology for a variety of classical and quantum phase transitions | |
N. H. March; Z. D. Zhang | |
2013 | |
Source Publication | Journal of Mathematical Chemistry
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ISSN | 0259-9791 |
Volume | 51Issue:7Pages:1694-1711 |
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. |
description.department | [march, n. h.] donostia int phys ctr, san sebastian, spain. [march, n. h.] univ antwerp, dept phys, b-2020 antwerp, belgium. [march, n. h.] abdus salam int ctr theoret phys, trieste, italy. [march, n. h.] univ oxford, oxford, england. [zhang, z. d.] chinese acad sci, inst met res, shenyang natl lab mat sci, shenyang 110016, peoples r china. ; zhang, zd (reprint author), chinese acad sci, inst met res, shenyang natl lab mat sci, 72 wenhua rd, shenyang 110016, peoples r china. ; zdzhang@imr.ac.cn |
Keyword | 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 3 Dimensions Liquid |
URL | 查看原文 |
Language | 英语 |
Document Type | 期刊论文 |
Identifier | http://ir.imr.ac.cn/handle/321006/71406 |
Collection | 中国科学院金属研究所 |
Recommended Citation GB/T 7714 | N. H. March,Z. D. Zhang. Theory and phenomenology for a variety of classical and quantum phase transitions[J]. Journal of Mathematical Chemistry,2013,51(7):1694-1711. |
APA | N. H. March,&Z. D. Zhang.(2013).Theory and phenomenology for a variety of classical and quantum phase transitions.Journal of Mathematical Chemistry,51(7),1694-1711. |
MLA | N. H. March,et al."Theory and phenomenology for a variety of classical and quantum phase transitions".Journal of Mathematical Chemistry 51.7(2013):1694-1711. |
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