Temperature dependent spatial oscillations in the correlations of the XXZ spin chain

Abstract

We study the correlation $<{\sigma }_0^z{\sigma }_n^z>$ for the XXZ chain in the massless attractive (ferromagnetic) region at positive temperatures by means of a numerical study of the quantum transfer matrix. We find that there is a range of temperature where the behavior of the correlation for large separations is oscillatory with an incommensurate period which depends on temperature.

4 pages, REVTEX, 6 tables

References in corpus (3)

• Correlation amplitude for the XXZ spin chain in the disordered regime
• Quantum-classical crossover in the spin 1/2 XXZ chain
• Competition of Ferromagnetic and Antiferromagnetic Order in the Spin-1/2 XXZ Chain at Finite Temperature

Cited by in corpus (10)

• Thermal form factors of the XXZ chain and the large-distance asymptotics of its temperature dependent correlation functions
• Low-temperature large-distance asymptotics of the transversal two-point functions of the XXZ chain
• Finite Temperature Dynamical Structure Factor of the Heisenberg-Ising Chain
• Commuting quantum transfer matrix approach to intrinsic Fermion system: Correlation length of a spinless Fermion model
• The 1/2-XXZ spin-chain at finite magnetic field: Crossover phenomena driven by temperature
• One dimensional strongly interacting Luttinger liquid of lattice spinless fermions
• Static and dynamic properties of the XXZ chain with long-range interactions
• Temperature-driven crossover in the Lieb-Liniger model
• Spin correlation functions and susceptibilities in the easy-plane XXZ chain
• A Q-operator for the quantum transfer matrix