Spin-Dynamics of the antiferromagnetic S=1/2-Chain at finite magnetic Fields and intermediate Temperatures

Abstract

We present a study of the dynamic structure factor of the antiferromagnetic spin-1/2 Heisenberg chain at finite temperatures and finite magnetic fields. Using Quantum-Monte-Carlo based on the stochastic series expansion and Maximum-Entropy methods we evaluate the longitudinal and the transverse dynamic structure factor from vanishing magnetic fields up to and above the threshold $B_c$ for ferromagnetic saturation, as well as for high and for intermediate temperatures. We study the field-induced redistribution of spectral weight contrasting longitudinal versus transverse excitations. At finite fields below saturation incommensurate low-energy modes are found consistent with zero temperature Bethe-Ansatz. The crossover between the field induced ferromagnet above $B_c$ and the Luttinger liquid below $B_c$ is analyzed in terms of the transverse spin-dynamics. Evaluating sum-rules we assess the quality of the analytic continuation and demonstrate excellent consistency of the Maximum-Entropy results.

arXiv comment10 pages, 6 figures

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• Spectral functions in one-dimensional quantum systems at T>0
• A real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method
• Matrix product state formulation of frequency-space dynamics at finite temperatures
• Hydrodynamic Limit for the Spin Dynamics of the Heisenberg Chain
• Symmetry Conserving Purification of Quantum States within the Density Matrix Renormalization Group
• Finite Temperature Dynamical Structure Factor of the Heisenberg-Ising Chain
• Accuracy of the microcanonical Lanczos method to compute real-frequency dynamical spectral functions of quantum models at finite temperatures
• From Linear to Nonlinear Responses of Thermal Pure Quantum States
• Fractionalization, entanglement, and separation: understanding the collective excitations in a spin-orbital chain
• Finite-temperature dynamics with the density-matrix renormalization group method
• Low temperature ballistic spin transport in the S=1/2 antiferromagnetic Heisenberg chain compound SrCuO2
• Coherent spin-current oscillations in transverse magnetic fields
• Dynamical spin excitations of topological Haldane gapped phase in the $S=1$ Heisenberg antiferromagnetic chain with single-ion anisotropy
• Quantum phases of a frustrated four-leg spin tube
• Low frequency spin dynamics in the quantum magnet copper pyrazine dinitrate
• Dynamical properties of the Haldane chain with bond disorder
• Emulation of quantum correlations by classical dynamics in a spin-1/2 Heisenberg chain
• Spin chain in magnetic field: limitations of the large-N mean-field theory