Renormalization group study of the two-dimensional random transverse-field Ising model

István A. Kovács, Ferenc Iglói

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54 Scopus citations

Abstract

The infinite-disorder fixed point of the random transverse-field Ising model is expected to control the critical behavior of a large class of random quantum and stochastic systems having an order parameter with discrete symmetry. Here we study the model on the square lattice with a very efficient numerical implementation of the strong disorder renormalization group method, which makes us possible to treat finite samples of linear size up to L=2048. We have calculated sample dependent pseudocritical points and studied their distribution, which is found to be characterized by the same shift and width exponent: ν=1.24 (2). For different types of disorder the infinite-disorder fixed point is shown to be characterized by the same set of critical exponents, for which we have obtained improved estimates: x=0.982 (15) and ψ=0.48 (2). We have also studied the scaling behavior of the magnetization in the vicinity of the critical point as well as dynamical scaling in the ordered and disordered Griffiths phases.

Original languageEnglish (US)
Article number054437
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume82
Issue number5
DOIs
StatePublished - Aug 31 2010

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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