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Temperature Correlations of Quantum Spins

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 15 Mar 1993Embargo end date: 01 Jan 1992 English Publisher:American Physical Society (APS)Journal:Physical Review Letters, volume 70, pages 2,357-2,357 (issn: 0031-9007, Copyright policy )Funded by:NSF | Theoretical and Mathemati...
Authors: Nikita Andreevich Slavnov; Alexandr Its; Vladimr Korepin; Anatloij Izergin;

doi: 10.1103/physrevlett.70.2357 , 10.1103/physrevlett.70.1704 , 10.48550/arxiv.cond-mat/9209034 , 10.48550/arxiv.hep-th/9212135 , 10.48550/arxiv.0909.4751

pmid: 10053363

arXiv: http://arxiv.org/abs/0909.4751 , http://arxiv.org/abs/cond-mat/9209034 , http://arxiv.org/abs/hep-th/9212135

Temperature Correlations of Quantum Spins

Abstract

We consider isotropic XY model in the transverse magnetic field on the one dimensional lattice. Another name of the model in Heisenberg XXO model of spin 1/2.We solved long standing problem of evaluation of temperature correlations. We first represent correlation function in the model, by means of completely integrable differential equation. This is famous Ablowitz-Ladik lattice Nonlinear Schrodinger equation.Correlation function is the $��$ function of this differential equation. We solved this equation and evaluate asymptotics.

6 pages, TEX ITP-SB-92-47, INS #211 ENSLAPP 394

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Keywords

High Energy Physics - Theory, Quantum Physics, Statistical Mechanics (cond-mat.stat-mech), High Energy Physics - Theory (hep-th), Condensed Matter (cond-mat), FOS: Physical sciences, Condensed Matter, Quantum Physics (quant-ph), Condensed Matter - Statistical Mechanics

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    citations
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 99
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
99
Top 10%
Top 10%
Top 10%
Green
bronze