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- W2004285816 abstract "A renormalization-group approach is used for investigating the effects of the Parisi replica symmetry breaking (``spin-glass effects'') on critical properties of d-dimensional systems with extended quenched disorder along ${ensuremath{varepsilon}}_{d}$ directions. Within a double expansion scheme to first order in $(ensuremath{varepsilon}=4ensuremath{-}d, {ensuremath{varepsilon}}_{d})$ it is found that for $d<~4+{ensuremath{varepsilon}}_{d}$ and order-parameter dimensionalities $n<~4,$ a full fixed-point instability with a consequent runaway towards a strong-coupling regime occurs in the parameter space while, for $d<4$ and $n>4,$ compatibly with the modified Harris criterion, an additional marginally stable fixed point exists which might control a new anisotropic random critical behavior. In any case, the traditional replica-symmetric Dorogovtsev-like solution for classical and quantum systems is unstable against the replica symmetry-breaking modes." @default.
- W2004285816 created "2016-06-24" @default.
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- W2004285816 date "1999-01-01" @default.
- W2004285816 modified "2023-09-26" @default.
- W2004285816 title "Spin-glass effects on critical behavior in systems with extended quenched disorder" @default.
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- W2004285816 doi "https://doi.org/10.1103/physrevb.59.855" @default.
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