Random Quantum Magnets with Long-Range Correlated Disorder: Enhancement of Critical and Griffiths-McCoy Singularities

Heiko Rieger, F. Iglói

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

We study the effect of spatial correlations on quenched disorder in random quantum magnets at and near a quantum critical point. In random transverse-field Ising systems disorder correlations that decay algebraically with an exponent p change the universality class of the transition for small enough p, and off-critical Griffiths-McCoy singularities are enhanced. We present exact results for ID utilizing a mapping to fractional Brownian motion and generalize the predictions for the critical exponents and the generalized dynamical exponent in the Griffiths phase to d ≥ 2.

Original languageEnglish
Pages (from-to)3741-3744
Number of pages4
JournalPhysical Review Letters
Volume83
Issue number18
Publication statusPublished - Nov 1 1999

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magnets
exponents
disorders
augmentation
critical point
decay
predictions

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Cite this

Random Quantum Magnets with Long-Range Correlated Disorder : Enhancement of Critical and Griffiths-McCoy Singularities. / Rieger, Heiko; Iglói, F.

In: Physical Review Letters, Vol. 83, No. 18, 01.11.1999, p. 3741-3744.

Research output: Contribution to journalArticle

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