Transverse spin correlations of the random transverse-field Ising model

F. Iglói, István A. Kovács

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The critical behavior of the random transverse-field Ising model in finite-dimensional lattices is governed by infinite disorder fixed points, several properties of which have already been calculated by the use of the strong disorder renormalization-group (SDRG) method. Here we extend these studies and calculate the connected transverse-spin correlation function by a numerical implementation of the SDRG method in d=1,2, and 3 dimensions. At the critical point an algebraic decay of the form ∼r-ηt is found, with a decay exponent being approximately ηt≈2+2d. In d=1 the results are related to dimer-dimer correlations in the random antiferromagnetic XX chain and have been tested by numerical calculations using free-fermionic techniques.

Original languageEnglish
Article number094205
JournalPhysical Review B
Volume97
Issue number9
DOIs
Publication statusPublished - Mar 21 2018

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Ising model
Dimers
renormalization group methods
disorders
dimers
decay
critical point
exponents

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

Cite this

Transverse spin correlations of the random transverse-field Ising model. / Iglói, F.; Kovács, István A.

In: Physical Review B, Vol. 97, No. 9, 094205, 21.03.2018.

Research output: Contribution to journalArticle

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