Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:2212.08824 · Annales Henri Poincaré

Multi-point Correlation Functions in the Boundary XXZ Chain at Finite Temperature

Karol Kajetan Kozlowski, V. Terras

Published Apr 29, 2023• 2 citations
arXivHTMLPDF
DOI
10.1007/s00023-023-01310-4

Related papers

The XX and Ising Limits in Integral Formulas for Finite-Temperature Correlation Functions of the XXZ Chain

Frank Göhmann, Alexander Seel

arXiv:hep-th/0505091•Theoretical and Mathematical Physics•Jan 1, 2006•15 citations

Exact thermodynamic limit of short-range correlation functions of the antiferromagnetic XXZ-chain at finite temperatures

Michael Bortz, Frank Göhmann

arXiv:cond-mat/0504370•The European Physical Journal B•Aug 1, 2005•35 citations

Spreading of correlations in the XXZ chain at finite temperatures

Lars Bonnes, Andreas Martin Läuchli

Bulletin of the American Physical Society•Mar 4, 2014•0 citations

Correlation functions of finite XXZ model with boundaries

Yasuhiro Fujii, Miki Wadati

arXiv:solv-int/9801026•Chaos Solitons & Fractals•Mar 1, 2000•4 citations

Boundary One-Point Functions in the Open XXZ Spin Chain with Generic Integrable Boundaries

Till Bargheer, Tengis Batmunkh, Paul Ryan

We consider the problem of computing observables beyond the spectrum in the open XXZ spin chain with the most generic integrable boundary conditions. For such boundaries, the residual u(1) symmetry is broken and the familiar Baxter TQ equation describing the spectrum becomes inhomogeneous, placing the model outside the realm of existing approaches to correlation functions and form factors. We show that the Functional Separation of Variables method, so far developed mainly for rational, (quasi-)periodic spin chains, is largely insensitive to these modifications, and works equally well for diagonal and generic boundaries. Using this method, we compute exact determinant expressions for a prototypical example of form factors in open-boundary systems, namely the longitudinal and transverse boundary-spin one-point functions in arbitrary Hamiltonian eigenstates at finite system size. No constraint relating the two boundary configurations and no reference state are required. We verify the resulting formulae against direct finite-volume diagonalisation.

arXiv:2610.27062•Oct 19, 2026•0 citations

The finite temperature density matrix and two-point correlations in the antiferromagneticXXZchain

Frank Göhmann, Nils P Hasenclever, Alexander Seel

We derive finite temperature versions of integral formulae for the two-point correlation functions in the antiferromagnetic XXZ chain. The derivation is based on the summation of density matrix elements characterizing a finite chain segment of length m . On this occasion we also supply a proof of the basic integral formula for the density matrix presented in an earlier publication.

arXiv:cond-mat/0509765•Journal of Statistical Mechanics Theory and Experiment•Oct 31, 2005•18 citations
We consider the problem of computing observables beyond the spectrum in the open XXZ spin chain with the most generic integrable boundary conditions. For such boundaries, the residual u(1) symmetry is broken and the familiar Baxter TQ equation describing the spectrum becomes inhomogeneous, placing the model outside the realm of existing approaches to correlation functions and form factors. We show that the Functional Separation of Variables method, so far developed mainly for rational, (quasi-)periodic spin chains, is largely insensitive to these modifications, and works equally well for diagonal and generic boundaries. Using this method, we compute exact determinant expressions for a prototypical example of form factors in open-boundary systems, namely the longitudinal and transverse boundary-spin one-point functions in arbitrary Hamiltonian eigenstates at finite system size. No constraint relating the two boundary configurations and no reference state are required. We verify the resulting formulae against direct finite-volume diagonalisation.