Third-neighbor and other four-point correlation functions of spin-1/2 XXZ chain

Abstract

The correlation functions of the spin-1/2 XXZ chain in the ground state were expressed in the form of multiple integrals for -1<Δ\leq 1 and 1<Δ. In particular, adjacent four-point correlation functions were given as certain four-dimensional integrals. We show that these integrals can be reduced to polynomials with respect to specific one-dimensional integrals. The results give the polynomial representation of the third-neighbor correlation functions.

34 pages

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Cited by in corpus (27)

• Computation of dynamical correlation functions of Heisenberg chains: the gapless anisotropic regime
• Bell inequalities and entanglement at quantum phase transition in the XXZ Model
• Algebraic representation of correlation functions in integrable spin chains
• Factorization of the finite temperature correlation functions of the XXZ chain in a magnetic field
• Reduced qKZ equation and correlation functions of the XXZ model
• Traces on the Sklyanin algebra and correlation functions of the eight-vertex model
• Short-distance thermal correlations in the massive XXZ chain
• Permutation operators, entanglement entropy, and the XXZ spin chain in the limit Δ-> -1
• Thermal entanglement of spins in the Heisenberg model at low temperatures
• Short-distance thermal correlations in the XXZ chain
• Correlation functions of the spin-1/2 anti-ferromagnetic Heisenberg chain: exact calculation via the generating function
• Analytical Bethe Ansatz for closed and open gl(n)-spin chains in any representation
• Exact thermodynamic limit of short-range correlation functions of the antiferromagnetic $XXZ$-chain at finite temperatures
• A Q-Operator Identity for the Correlation Functions of the Infinite XXZ Spin-Chain
• First principle approach to correlation functions of spin-1/2 Heisenberg chain : fourth-neighbor correlators
• Exact evaluation of density matrix elements for the Heisenberg chain
• Density matrix elements and entanglement entropy for the spin-1/2 XXZ chain at $\Delta$=1/2
• Finite temperature density matrix and two-point correlations in the antiferromagnetic XXZ chain
• String correlation functions of the spin-1/2 Heisenberg XXZ chain
• On the absorption of microwaves by the one-dimensional spin-1/2 Heisenberg-Ising magnet
• Exact results for the sigma^z two-point function of the XXZ chain at Delta=1/2
• Excitation Spectrum Gap and Spin-Wave Stiffness of XXZ Heisenberg Chains: Global Renormalization-Group Calculation
• Vanishing and non-vanishing persistent currents of various conserved quantities
• Quantum Statistical Complexity Measure as a Signalling of Correlation Transitions
• Correlation Function and Simplified TBA Equations for XXZ Chain
• Factorization of the Ising model form factors
• Quantum Group U_q(sl(2)) Symmetry and Explicit Evaluation of the One-Point Functions of the Integrable Spin-1 XXZ Chain