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

I. Rabuffo, M.T. Mercaldo, Caramico D’Auria, A. and L. De Cesare

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 21, 4523-4534

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.

Keywords: Quantum criticality; Quenched disorder; Crossover phenomena (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:21:p:4523-4534

DOI: 10.1016/j.physa.2009.07.033

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