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

Critical field and low-temperature critical indices of the ferromagnetic Ising model 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 H c , and in favorable cases we can determine the critical field quite accurately. Knowing the critical field H c , 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 Padé analysis. A critique of the accuracy of the method and its possibilities is given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review B American Physical Society (APS)

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

Majumdar, C. K
Physical Review B , Volume 22 (7) – Oct 1, 1980
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1980 The American Physical Society
ISSN
1095-3795
DOI
10.1103/PhysRevB.22.3288
Publisher site
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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 H c , and in favorable cases we can determine the critical field quite accurately. Knowing the critical field H c , 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 Padé analysis. A critique of the accuracy of the method and its possibilities is given.

Journal

Physical Review B – American Physical Society (APS)

Published: Oct 1, 1980

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