Griffiths-McCoy singularities in the random transverse-field Ising spin chain

F. Iglói, Róbert Juhász, Heiko Rieger

Research output: Contribution to journalArticle

30 Citations (Scopus)

Abstract

We consider the paramagnetic phase of the random transverse-field Ising spin chain and study the dynamical properties by numerical methods and scaling considerations. We extend our previous work [Phys. Rev. B 57, 11404 (1998)] to new quantities, such as the nonlinear susceptibility, higher excitations, and the energy-density autocorrelation function. We show that in the Griffiths phase all the above quantities exhibit power-law singularities and the corresponding critical exponents, which vary with the distance from the critical point, can be related to the dynamical exponent z, the latter being the positive root of [(J/h)1/z]av= 1. Particularly, whereas the average spin autocorrelation function in imaginary time decays as [G]av(τ)∼τ-1/z the average energy-density autocorrelations decay with another exponent as [Ge]av(τ)∼τ-2-1/z.

Original languageEnglish
Pages (from-to)11308-11314
Number of pages7
JournalPhysical Review B - Condensed Matter and Materials Physics
Volume59
Issue number17
Publication statusPublished - 1999

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Autocorrelation
autocorrelation
exponents
flux density
decay
Numerical methods
critical point
magnetic permeability
scaling
excitation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Griffiths-McCoy singularities in the random transverse-field Ising spin chain. / Iglói, F.; Juhász, Róbert; Rieger, Heiko.

In: Physical Review B - Condensed Matter and Materials Physics, Vol. 59, No. 17, 1999, p. 11308-11314.

Research output: Contribution to journalArticle

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