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- W2023578312 abstract "The second-order phase transition of a weakly disordered system in 2 + ϵ dimensions is investigated by means of the low-temperature renormalization group technique. It is shown that there are two fixed points: the Migdal-Polyakov and the unphysical ones. As the Migdal-Polyakov fixed point is always stable it is concluded that the disordered and the ordered systems have the same critical exponents. These results agree with the Harris hypothesis, which predicts that phase transitions with positive value of α do not occur in the presence of quenched disorder. The effects of the long-range exchange interaction on the critical behaviour of the quenched system in σ + ϵ dimensions are also discussed. The criteria for the concentration of nonmagnetic impurities in the systems under consideration are established. [Russian Text Ignored]." @default.
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- W2023578312 title "Low-temperature renormalization group study of the random spin systems" @default.
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- W2023578312 doi "https://doi.org/10.1002/pssb.2221070203" @default.
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