Determinant Representations for Correlation Functions of Spin-1/2 XXX and XXZ Heisenberg Magnets

A.G. Izergin; F.H.L. Essler; H. Frahm; V.E. Korepin

Determinant Representations for Correlation Functions of Spin-1/2 XXX and XXZ Heisenberg Magnets

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arxiv hep-th/9406133 v2 pith:2SBJVBOI submitted 1994-06-20 hep-th cond-mat

F.H.L. Essler , H. Frahm , A.G. Izergin , V.E. Korepin This is my paper · ORCID

classification hep-thcond-mat

keywords correlationfunctionsheisenbergrepresentationsalgebraicansatzbethechains

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abstract

We consider correlation functions of the spin-$\half$ XXX and XXZ Heisenberg chains in a magnetic field. Starting from the algebraic Bethe Ansatz we derive representations for various correlation functions in terms of determinants of Fredholm integral operators.

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Emptiness formation probability and Painlev\'e V equation in the XY spin chain
cond-mat.stat-mech 2019-09 conditional novelty 6.0 of 10

The emptiness formation probability of the XY chain, in the double-scaling limit near its critical lines, is governed by a Painleve V tau function; the result is exact at the Ising point and numerically supported elsewhere.

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