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Theory and phenomenology for a variety of classical and quantum phase transitions
N. H. March; Z. D. Zhang
2013
Source PublicationJournal of Mathematical Chemistry
ISSN0259-9791
Volume51Issue:7Pages:1694-1711
AbstractIn 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
KeywordIsing 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
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Language英语
Document Type期刊论文
Identifierhttp://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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