Finite-temperature correlations in a quantum spin chain near saturation

Abstract

Inelastic neutron-scattering and finite-temperature density matrix renormalization group (DMRG) calculations are used to investigate the spin excitation spectrum of the $S=1/2$ Heisenberg spin chain compound K${}_2$CuSO${}_4$Cl${}_2$ at several temperatures in a magnetic field near saturation. Critical correlations characteristic of the predicted $z=2$, $d=1$ quantum phase transition occurring at saturation are shown to be consistent with the observed neutron spectra. The data is well described with a scaling function computed using a free fermion description of the spins, valid close to saturation, and the corresponding scaling limits. One of the most prominent non-universal spectral features of the data is a novel thermally activated longitudinal mode that remains underdamped across most of the Brillouin zone.

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Cited by in corpus (13)

• Tomonaga-Luttinger liquid spin dynamics in the quasi-one dimensional Ising-like antiferromagnet BaCo${}_2$V${}_2$O${}_8$
• $z=2$ Quantum Critical Dynamics in a Spin Ladder
• Correlation functions of one-dimensional strongly interacting two-component gases
• Spin gap in a quasi-1D S=1/2 antiferromagnet K2CuSO4Cl2
• Finite temperature dynamical correlations for the dimerized spin-1/2 chain
• Beyond perturbation theory: A time-dependent approach to inelastic scattering spectroscopies in- and away from equilibrium
• Quantum critical dynamics and scaling in one-dimensional antiferromagnets
• Deficiency of the scaling collapse as an indicator of a superconductor-insulator quantum phase transition
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• Dynamical structure factors in the nematic phase of frustrated ferromagnetic spin chains
• Low dimensional correlations under thermal fluctuations
• From deconfined spinons to coherent magnons in an antiferromagnetic Heisenberg chain with long range interactions
• Finite-temperature dynamics and the role of disorder in nearly critical Ni(Cl${}_{1-x}$Br${}_x$)${}_2$$\cdot$4SC(NH${}_2$)${}_2$