Finite Temperature Dynamical Structure Factor of the Heisenberg-Ising Chain

Abstract

We consider the spin-1/2 Heisenberg XXZ chain in the regime of large Ising-like anisotropy $\Delta$. By a combination of duality and Jordan-Wigner transformations we derive a mapping to weakly interacting spinless fermions, which represent domain walls between the two degenerate ground states. We develop a perturbative expansion in $1\Delta$ for the transverse dynamical spin structure factor at finite temperatures and in an applied transverse magnetic field. We present a unified description for both the low-energy temperature-activated response and the temperature evolution of the T=0 two-spinon continuum. We find that the two-spinon continuum narrows in energy with increasing temperature. At the same time spectral weight is transferred from the two-spinon continuum to the low energy intraband scattering continuum, which is strongly peaked around the position of the (single) spinon dispersion (`Villain mode').

23 pages, 19 eps figures (now improved), uses feynmf

References in corpus (11)

• Integral representations for correlation functions of the XXZ chain at finite temperature
• Finite-temperature lineshapes in gapped quantum spin chains
• Dynamical correlation functions of the XXZ spin-1/2 chain
• The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain
• Finite Temperature Dynamical Structure Factor of Alternating Heisenberg Chains
• Dynamical correlation functions of the XXZ model at finite temperature
• Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures
• Gapped Heisenberg spin chains in a field
• Finite Temperature Dynamics of the Spin 1/2 Bond Alternating Heisenberg Antiferromagnetic Chain
• Finite temperature density matrix and two-point correlations in the antiferromagnetic XXZ chain
• Polarized Neutron Inelastic Scattering Study of the Anisotropic Magnetic Fluctuations in the Quasi-1D Ising-like Antiferromagnet TlCoCl${}_3$

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• Spinon confinement in a quasi one dimensional anisotropic Heisenberg magnet
• Finite Temperature Dynamical Correlations in Massive Integrable Quantum Field Theories
• Short-distance thermal correlations in the massive XXZ chain
• Finite temperature dynamics of the Mott insulating Hubbard chain
• Symmetry Conserving Purification of Quantum States within the Density Matrix Renormalization Group
• "Quasi-particle breakdown" in the quasi-one-dimensional Ising ferromagnet CoNb${}_2$O${}_6$
• A systematic $1/c$-expansion of form factor sums for dynamical correlations in the Lieb-Liniger model
• Low-Temperature Dynamical Structure Factor of the Two-Leg Spin-1/2 Heisenberg Ladder
• Spin hydrodynamics in the S = 1/2 anisotropic Heisenberg chain
• Symmetric Minimally Entangled Typical Thermal States
• Thermal control of spin excitations in the coupled Ising-chain material RbCoCl3
• Systematic strong coupling expansion for out-of-equilibrium dynamics in the Lieb-Liniger model
• Finite temperature line-shapes of hard-core bosons in quantum magnets: A diagrammatic approach tested in one dimension
• Magnetic excitations in the one-dimensional Heisenberg-Ising model with external fields and their experimental realizations
• The Floquet Baxterisation
• Engineering entanglement Hamiltonians with strongly interacting cold atoms in optical traps
• Vertex corrections in the dynamic structure factor in spin ladders
• The Ising Limit of the XXZ Heisenberg Magnet and Certain Thermal Correlation Functions
• Thermodynamics and short-range correlations of the XXZ chain close to its triple point
• In-Gap Band Formation in a Periodically Driven Charge Density Wave Insulator
• Impurity and soliton dynamics in a Fermi gas with nearest-neighbor interactions