Higher-order corrections to the $ε^{\frac{1}{2}}$ expansion of the critical behavior of the random Ising system

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1 November 1977

journal article
research article
Published by American Physical Society (APS) in Physical Review B

Vol. 16 (9) , 3987-3990
DOI:10.1103/physrevb.16.3987

Abstract

The stability of the random fixed point of the disordered Ising system is investigated within the framework of Callan-Symanzik equations and renormalized perturbation theory. The critical exponents are obtained to one higher order, for example,

ν = \frac{1}{2} + \frac{1}{4} {(\frac{6}{53} ε)}^{\frac{1}{2}} + \frac{1}{4} (\frac{535 - 765 ξ (3)}{5618}) ε

Keywords

This publication has 7 references indexed in Scilit:

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Physical Review B, 1976
Critical properties of random-spin models from the $ε$ expansion
Physical Review B, 1975
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Effect of randomness on critical behavior of spin models
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Physical Review B, 1975
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Physical Review B, 1974
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Physical Review D, 1974

Higher-order corrections to theε12expansion of the critical behavior of the random Ising system

Abstract

Keywords

Higher-order corrections to the $ε^{\frac{1}{2}}$ expansion of the critical behavior of the random Ising system