Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain

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TitreLow-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain
Type de publicationJournal Article
Year of Publication2014
AuteursDugave M, Goehmann F, Kozlowski KK
JournalJOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
PaginationP04012
Date PublishedAPR
Type of ArticleArticle
ISSN1742-5468
Mots-cléscorrelation functions, form factors, integrable spin chains (vertex models), thermodynamic Bethe ansatz
Résumé

We derive the low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain by summing up the asymptotically dominant terms of their expansion into form factors of the quantum transfer matrix. Our asymptotic formulae are numerically efficient and match well with known results for vanishing magnetic field and for short distances and magnetic fields below the saturation field.

DOI10.1088/1742-5468/2014/04/P04012