Phase transitions and singularities in random quantum systems

Daniel S. Fisher

Physica A: Statistical Mechanics and its Applications, 1999, vol. 263, issue 1, 222-233

Abstract: Random quantum systems that exhibit unusual behavior associated with “infinite randomness” fixed points are discussed, focusing on the random quantum Ising model. This system undergoes a transition at zero temperature from a phase with infinite susceptibility and continuously variable exponents to a ferromagnetic phase via a quantum critical point characterized by “tunneling scaling” with energy Ω and length scales, L, related by 1n Ω ∼ Lψ. Exact results in one dimension and a scaling picture in higher dimensions are derived from a simple renormalization group. Other random quantum critical points and quantum disordered phases that can exhibit similar features are discussed briefly.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:263:y:1999:i:1:p:222-233

DOI: 10.1016/S0378-4371(98)00498-1

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