Frustrations and Phase Transitions in Ising Model on 2D Lattices

Abstract:

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The problem of frustrations and phase transition appearance or suppression is studied on the base of exact analytical solutions for maximum eigenvalue of Kramers-Wannier transfer matrix in the Ising model on a square lattice [1], a triangular and honeycomb lattices [2], and kagome lattice [3] with allowance for the interactions between nearest J is studied. We also studied these phenomena by the numerical “replica Monte Carlo method”, taking also into account the interactions between next-nearest neighbors J'.

Info:

Periodical:

Solid State Phenomena (Volumes 168-169)

Main Theme:

Edited by:

V. Ustinov

Pages:

435-438

DOI:

10.4028/www.scientific.net/SSP.168-169.435

Citation:

F. A. Kassan-Ogly et al., "Frustrations and Phase Transitions in Ising Model on 2D Lattices", Solid State Phenomena, Vols. 168-169, pp. 435-438, 2011

Online since:

December 2010

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Price:

$35.00

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