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• W2016543192 abstract "Critical properties are studied in systems with quenched bond disorder that is correlated along ${d}_{1}$ of d dimensions. A renormalization-group scheme (based on the Migdal-Kadanoff method) which follows the full distribution of the random bonds and which gives correctly the modified Harris criterion ensuremath{varphi}=ensuremath{alpha}+${d}_{1}$ensuremath{nu} is used. For ${d}_{1}$, we find fixed distributions at finite temperatures, yielding new ``random'' exponents for various q-state Potts models. For ${d}_{1}$=d-1 there is no long-range order if there is a finite weight to zero coupling. Otherwise, we find a novel zero-temperature fixed distribution, for which all the moments diverge to infinity with finite ratios among them. This fixed distribution has a magnetic eigenvalue equal to d, indicating a first-order transition in the magnetization and possible related essential singularities. Thus, by analogy, the possibility of a magnetization jump is raised for the McCoy-Wu transition on a square lattice. The results for ${d}_{1}$=1 are relevant to random quantum systems." @default.
• W2016543192 created "2016-06-24" @default.
• W2016543192 creator A5054708430 @default.
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• W2016543192 date "1985-04-01" @default.
• W2016543192 modified "2023-09-25" @default.
• W2016543192 title "Critical behavior with axially correlated random bonds" @default.
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• W2016543192 doi "https://doi.org/10.1103/physrevb.31.4305" @default.
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