Ising models on the 2 x 2 x {infinity} lattices

Journal Article · Thu Mar 15 00:00:00 EDT 2007 · Journal of Experimental and Theoretical Physics

DOI:https://doi.org/10.1134/S1063776107030120· OSTI ID:21072510

Yurishchev, M. A. ^[1]

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1. Russian Academy of Sciences, Institute of Problems of Chemical Physics (Russian Federation), E-mail: [e-mail]

Exact analytic solutions are presented for two 2 x 2 x {infinity} Ising etageres. The first model has a simple cubic lattice with fully anisotropic interactions. The second model consists of two different types of linear chains and includes noncrossing diagonal bonds on the side faces of the 2 x 2 x {infinity} parallelepiped. In both cases, the solutions are expressed through square radicals and obtained by using the obvious symmetry of the Hamiltonians, Z{sub 2} x C{sub 2v}, and the hidden algebraic {lambda}{lambda} symmetry of the transfer matrix secular equations. The solution found for the second model is used to analyze the behavior of specific heat in a frustrated many-chain system.

• OSTI ID: 21072510
• Journal Information: Journal of Experimental and Theoretical Physics, Vol. 104, Issue 3; Other Information: DOI: 10.1134/S1063776107030120; Copyright (c) 2007 Nauka/Interperiodica; Article Copyright (c) 2007 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7761
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANALYTICAL SOLUTION
ANISOTROPY
CUBIC LATTICES
HAMILTONIANS
ISING MODEL
MATRICES
SECULAR EQUATION
SPECIFIC HEAT
SYMMETRY