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Disorder-induced quantum-Griffiths-like features from a non-conventional renormalization group analysis near four dimensions

Author

Listed:
  • Rabuffo, I.
  • Mercaldo, M.T.
  • Caramico D’Auria, A.
  • De Cesare, L.

Abstract

We investigate the role played by symmetry conserving quenched disorder on quantum criticality of a variety of d-dimensional systems with a continuous symmetry order parameter. We employ a non-standard procedure which combines a preliminary reduction to an effective classical random problem and a successive conventional renormalization group treatment. Solving the effective flow equations to first order in ε=4−d and then restoring the original coupling parameters, for d<4 we find a quantum critical point scenario exhibiting unusual features, which remind us of some predictions of the quantum Griffiths phase model.

Suggested Citation

  • Rabuffo, I. & Mercaldo, M.T. & Caramico D’Auria, A. & De Cesare, L., 2009. "Disorder-induced quantum-Griffiths-like features from a non-conventional renormalization group analysis near four dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(21), pages 4523-4534.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:21:p:4523-4534
    DOI: 10.1016/j.physa.2009.07.033
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