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Phase transitions and singularities in random quantum systems

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  • Fisher, Daniel S.

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.

Suggested Citation

  • Fisher, Daniel S., 1999. "Phase transitions and singularities in random quantum systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 222-233.
  • Handle: RePEc:eee:phsmap:v:263:y:1999:i:1:p:222-233
    DOI: 10.1016/S0378-4371(98)00498-1
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