Critical field and low-temperature critical indices of the ferromagnetic Ising model

Majumdar, C. K. ; Ramarao, I. (1980) Critical field and low-temperature critical indices of the ferromagnetic Ising model Physical Review B: Condensed Matter and Materials Physics, 22 (7). pp. 3288-3293. ISSN 1098-0121

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Official URL: http://prb.aps.org/abstract/PRB/v22/i7/p3288_1

Related URL: http://dx.doi.org/10.1103/PhysRevB.22.3288

Abstract

For the ferromagnetic Ising model the low-temperature series expansion with temperature grouping polynomials is studied. We show that certain roots of these polynomials converge to the critical field Hc, and in favorable cases we can determine the critical field quite accurately. Knowing the critical field Hc, one can determine the asymptotic behavior of the temperature grouping polynomials numerically. The essential feature is a power-law behavior. Hence, the low-temperature critical indices α, β, and γ can be determined. The values are in general agreement with those found by Pade analysis. A critique of the accuracy of the method and its possibilities is given.

Item Type:Article
Source:Copyright of this article belongs to The American Physical Society.
ID Code:33266
Deposited On:30 Mar 2011 10:59
Last Modified:30 Mar 2011 10:59

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