Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets

Fabian H.L. Eßler; Holger Frahm; Anatoli G. Izergin; Vladimir E. Korepin

doi:10.1007/BF02099470

Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets

Fabian H.L. Eßler
, Holger Frahm
, Anatoli G. Izergin
, Vladimir E. Korepin

Institute for Theoretical Physics

University of Bonn
Leibniz University Hannover
Russian Academy of Sciences

Research output: Contribution to journal › Article › peer-review

64 Scopus citations

Abstract

We consider zero temperature correlation functions of the spin-1/2 XXZ Heisenberg chain in the critical regime -1<Δ≦1 in a magnetic field. Starting from the algebraic Bethe Ansatz we derive representations for various correlation functions in term of determinats of Fredholm integral operators.

Original language	English
Pages (from-to)	191-214
Number of pages	24
Journal	Communications in Mathematical Physics
Volume	174
Issue number	1
DOIs	https://doi.org/10.1007/BF02099470
State	Published - Nov 1995

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@article{4399fe4cd58e43fc8ebb402aba8a1bb8,

title = "Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets",

abstract = "We consider zero temperature correlation functions of the spin-1/2 XXZ Heisenberg chain in the critical regime -1<Δ≦1 in a magnetic field. Starting from the algebraic Bethe Ansatz we derive representations for various correlation functions in term of determinats of Fredholm integral operators.",

author = "E{\ss}ler, \{Fabian H.L.\} and Holger Frahm and Izergin, \{Anatoli G.\} and Korepin, \{Vladimir E.\}",

year = "1995",

month = nov,

doi = "10.1007/BF02099470",

language = "English",

volume = "174",

pages = "191--214",

journal = "Communications in Mathematical Physics",

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T1 - Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets

AU - Eßler, Fabian H.L.

AU - Frahm, Holger

AU - Izergin, Anatoli G.

AU - Korepin, Vladimir E.

PY - 1995/11

Y1 - 1995/11

N2 - We consider zero temperature correlation functions of the spin-1/2 XXZ Heisenberg chain in the critical regime -1<Δ≦1 in a magnetic field. Starting from the algebraic Bethe Ansatz we derive representations for various correlation functions in term of determinats of Fredholm integral operators.

AB - We consider zero temperature correlation functions of the spin-1/2 XXZ Heisenberg chain in the critical regime -1<Δ≦1 in a magnetic field. Starting from the algebraic Bethe Ansatz we derive representations for various correlation functions in term of determinats of Fredholm integral operators.

UR - https://www.scopus.com/pages/publications/0000731734

U2 - 10.1007/BF02099470

DO - 10.1007/BF02099470

M3 - Article

AN - SCOPUS:0000731734

SN - 0010-3616

VL - 174

SP - 191

EP - 214

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 1

ER -

Determinant representation for correlation functions of spin-1/2 XXX and XXZ Heisenberg magnets

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