Correlation functions of the XXZ spin-1/2 Heisenberg chain at the free fermion point from their multiple integral representations

Abstract

Using multiple integral representations, we derive exact expressions for the correlation functions of the spin-1/2 Heisenberg chain at the free fermion point.

arXiv comment24 pages, LaTex

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Cited by in corpus (35)

• Master equation for spin-spin correlation functions of the XXZ chain
• Universal properties of hard-core bosons confined on one-dimensional lattices
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• Dynamical correlation functions of the XXZ spin-1/2 chain
• Correlation functions of the open XXZ chain II
• Large distance asymptotic behavior of the emptiness formation probability of the XXZ spin-1/2 Heisenberg chain
• Asymptotics of Toeplitz Determinants and the Emptiness Formation Probability for the XY Spin Chain
• Thermodynamic limit of particle-hole form factors in the massless XXZ Heisenberg chain
• Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
• Form factors and complete spectrum of XXX antiperiodic higher spin chains by quantum separation of variables
• Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain
• Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
• R-matrices and Spectrum of Vertex Models based on Superalgebras
• Emptiness Formation Probability for the Anisotropic XY Spin Chain in a Magnetic Field
• On the form factors of local operators in the Bazhanov-Stroganov and chiral Potts models
• Analytical Bethe Ansatz for closed and open gl(n)-spin chains in any representation
• Form factors of integrable Heisenberg (higher) spin chains
• Equilibrium dynamics of the XX chain
• Dynamical correlation functions of the XXZ model at finite temperature
• Quantum Projectors and Local Operators in Lattice Integrable Models
• On the spin-spin correlation functions of the XXZ spin-1/2 infinite chain
• Correlation Functions of XX0 Heisenberg Chain, q-Binomial Determinants, and Random Walks
• XX and Ising limits in integral formulae for finite temperature correlation functions of the XXZ chain
• Determinant Representation of Correlation Functions for the $U_q(gl(1|1))$ Free Fermion Model
• Algebraic Bethe ansatz for an integrable U_q[Sl(n|m)] vertex model with mixed representations
• The Ising Limit of the XXZ Heisenberg Magnet and Certain Thermal Correlation Functions
• On the Construction of Correlation Functions for the Integrable Supersymmetric Fermion Models
• XX Heisenberg Spin Chain and an Example of Path Integral with "Automorphic" Boundary Conditions
• Form factors and correlation functions of an interacting spinless fermion model
• A nested sequence of projectors (2): Multiparameter multistate statistical models, Hamiltonians, S-matrices
• Bootstrap equations and correlation functions for the Heisenberg XYZ antiferromagnet
• A new correlator in quantum spin chains
• Heisenberg XX chain, non-homogeneously parameterised generating exponential, and diagonally restricted plane partitions
• Spin correlation functions, Ramus-like identities, and enumeration of constrained lattice walks and plane partitions
• On Hydrodynamic Correlations in Low-Dimensional Interacting Systems