Extended surface disorder in the quantum Ising chain

L. Turban, D. Karevski, F. Iglói

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

We consider random extended surface perturbations in the transverse field Ising model decaying as a power of the distance from the surface towards a pure bulk system. The decay may be linked either to the evolution of the couplings or to their probabilities. Using scaling arguments, we develop a relevance-irrelevance criterion for such perturbations. We study the probability distribution of the surface magnetization, its average and typical critical behaviour for marginal and relevant perturbations. According to analytical results, the surface magnetization follows a log-normal distribution and both the average and typical critical behaviours are characterized by power-law singularities with continuously varying exponents in the marginal case and essential singularities in the relevant case. For enhanced average local couplings, the transition becomes first order with a nonvanishing critical surface magnetization. This occurs above a positive threshold value of the perturbation amplitude in the marginal case.

Original languageEnglish
Pages (from-to)3907-3918
Number of pages12
JournalJournal of Physics A: Mathematical and General
Volume32
Issue number21
DOIs
Publication statusPublished - May 28 1999

Fingerprint

Ising
Disorder
disorders
Magnetization
Perturbation
perturbation
Critical Behavior
magnetization
Singularity
Ising model
Log Normal Distribution
Normal distribution
Threshold Value
normal density functions
Probability distributions
Ising Model
Power Law
Probability Distribution
Transverse
Exponent

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

Extended surface disorder in the quantum Ising chain. / Turban, L.; Karevski, D.; Iglói, F.

In: Journal of Physics A: Mathematical and General, Vol. 32, No. 21, 28.05.1999, p. 3907-3918.

Research output: Contribution to journalArticle

Turban, L. ; Karevski, D. ; Iglói, F. / Extended surface disorder in the quantum Ising chain. In: Journal of Physics A: Mathematical and General. 1999 ; Vol. 32, No. 21. pp. 3907-3918.
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