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De Gruyter eBooks

Random-Field Correlations and Quantum Critical Phenomena

Dimo I. Uzunov, E. R. Kokutcheva, YONKO T. MILLEV

Published Dec 31, 1985• 0 citations
Publisher
DOI
10.1515/9783112495407-024

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Random‐Field Correlations and Quantum Critical Phenomena

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Abstract The effect of quenched random fields on the zero‐temperature critical behaviour is studied by the means of the Wilson‐Fisher renormalisation‐group recursion relations to first order in the ϵ‐expansion. A number of quantum models is considered. The simultaneous influence of both, the random‐field and the classical‐to‐quantum dimensional crossover phenomena on the quantum critical behaviour is investigated. A special attention is paid to the properties of some reasonable particular forms of Gaussian random correlations which might be of relevance to the description of natural systems.

physica status solidi (b)•Jul 1, 1985•7 citations
Abstract The effect of quenched random fields on the zero‐temperature critical behaviour is studied by the means of the Wilson‐Fisher renormalisation‐group recursion relations to first order in the ϵ‐expansion. A number of quantum models is considered. The simultaneous influence of both, the random‐field and the classical‐to‐quantum dimensional crossover phenomena on the quantum critical behaviour is investigated. A special attention is paid to the properties of some reasonable particular forms of Gaussian random correlations which might be of relevance to the description of natural systems.