Boundary critical phenomena of the random transverse Ising model in D≥2 dimensions

István A. Kovács*, Ferenc Iglói

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Using the strong disorder renormalization group method, we study numerically the critical behavior of the random transverse Ising model at a free surface, at a corner, and at an edge in two-, three-, and four-dimensional lattices. The surface magnetization exponents are found to be x s=1.60(2), 2.65(15), and 3.7(1) in D=2, 3, and 4, respectively, which do not depend on the form of disorder. We have also studied critical magnetization profiles in slab, pyramid, and wedge geometries with fixed-free boundary conditions and analyzed their scaling behavior.

Original languageEnglish (US)
Article number024204
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume87
Issue number2
DOIs
StatePublished - Jan 18 2013

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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