Static critical behaviors in random-spin systems with short-range interaction
Keyword(s):
Critical behaviors in quenched random-spin systems with N-spin component are studied in the limit M → 0 of the non-random MN-component models by means of the renormalization group theory. As the static critical phenomena the stability of the fixed points is investigated and the critical exponents η[~ O(ε3); ε ≡ 4 – d], γ, α, and crossover index [Formula: see text] and the equation of state [~ O(ε)] are obtained. Within the approximation up to the order ε2, even the random-spin systems with N = 2 or 3 are unstable in the three dimensions and the pure systems are stable there.
1981 ◽
Vol 93
(1)
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pp. 25-40
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2012 ◽
Vol 137
(6)
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pp. 064104
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Keyword(s):
1990 ◽
Vol 513
(3-4)
◽
pp. 442-458
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