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arXiv:1507.06487 · Physical Review B

Finite-temperature scaling of spin correlations in a partially magnetized Heisenberg S=12 chain

M. Hälg, D. Hüvonen, Nicholas P. Butch, F. Demmel, A. Zheludev

Published Sep 16, 2015• 17 citations
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Abstract

Inelastic neutron scattering is employed to study transverse spin correlations of a Heisenberg $S=1/2$ chain compound in a magnetic field of 7.5 T. The target compound is the antiferromagnetic Heisenberg $S=1/2$ chain material 2(1,4-dioxane)$\ifmmode\cdot\else\textperiodcentered\fi{}2({\mathrm{H}}_{2}\mathrm{O})\ifmmode\cdot\else\textperiodcentered\fi{}{\mathrm{CuCl}}_{2}$, or CuDCl for short. The validity and the limitations of the scaling relation for the transverse dynamic structure factor are tested, discussed, and compared to the Tomonaga-Luttinger spin liquid theory and to Bethe-ansatz results for the Heisenberg model.

DOI
10.1103/physrevb.92.104416

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Inelastic neutron scattering is employed to study transverse spin correlations of a Heisenberg S=1/2S=1/2S=1/2 chain compound in a magnetic field of 7.5 T. The target compound is the antiferromagnetic Heisenberg S=1/2S=1/2S=1/2 chain material 2(1,4-dioxane)\ifmmode⋅\else\textperiodcentered\fi2(H2O)\ifmmode⋅\else\textperiodcentered\fiCuCl2\ifmmode\cdot\else\textperiodcentered\fi{}2({\mathrm{H}}_{2}\mathrm{O})\ifmmode\cdot\else\textperiodcentered\fi{}{\mathrm{CuCl}}_{2}\ifmmode⋅\else\textperiodcentered\fi2(H2​O)\ifmmode⋅\else\textperiodcentered\fiCuCl2​, or CuDCl for short. The validity and the limitations of the scaling relation for the transverse dynamic structure factor are tested, discussed, and compared to the Tomonaga-Luttinger spin liquid theory and to Bethe-ansatz results for the Heisenberg model.
We present a study of the dynamic structure factor of the antiferromagnetic spin-12\frac{1}{2}21​ 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 factors from vanishing magnetic fields up to and above the threshold Bc{B}_{c}Bc​ 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 Bc{B}_{c}Bc​ and the Luttinger liquid below Bc{B}_{c}Bc​ 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.
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We consider the anisotropic Heisenberg spin-1/2 chain in a transverse magnetic field at zero temperature. We first determine all components of the dynamical structure factor by combining exact results with a mean-field approximation recently proposed by Dmitriev et al. [JETP 95, 538 (2002)]. We then turn to the small anisotropy limit, in which we use field theory methods to obtain exact results. We discuss the relevance of our results to neutron scattering experiments on the one-dimensional Heisenberg chain compound Cs2CoCl4.{\mathrm{Cs}}_{2}{\mathrm{CoCl}}_{4}.Cs2​CoCl4​.
Magnetic-field tuning of equal-time longitudinal and transverse correlations is investigated for the antiferromagnetic isotropic spin-1/2 Heisenberg chain. Full exact diagonalization of a ten-site periodic ring is used at kBT/J=0.15 over 0≤h/J≤2.6, where h=gμBB. The field breaks spin-rotational symmetry, increases uniform magnetization, redistributes longitudinal and transverse correlation weight, and drives the system toward the fully polarized state above the saturation field hs=2J. Below saturation, longitudinal correlations acquire a uniform m² background and field-dependent oscillatory structure, whereas transverse antiferromagnetic correlations weaken as the density of reversed spins decreases. The finite-temperature magnetization rounds the zero-temperature level crossings and saturation threshold. The numerical results are interpreted using the Tomonaga-Luttinger-liquid description and checked against exact limiting values. The analysis provides a reproducible finite-chain account of field-controlled spin correlations and identifies the distinctions required when connecting static calculations to scattering experiments.
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