Dynamical properties of the sine-Gordon quantum spin magnet Cu-PM at zero and finite temperature

Abstract

The material copper pyrimidine dinitrate (Cu-PM) is a quasi-one-dimensional spin system described by the spin-1/2 XXZ Heisenberg antiferromagnet with Dzyaloshinskii-Moriya interactions. Based on numerical results obtained by the density-matrix renormalization group, exact diagonalization, and accompanying electron spin resonance (ESR) experiments we revisit the spin dynamics of this compound in an applied magnetic field. Our calculations for momentum and frequency-resolved dynamical quantities give direct access to the intensity of the elementary excitations at both zero and finite temperature. This allows us to study the system beyond the low-energy description by the quantum sine-Gordon model. We find a deviation from the Lorentz invariant dispersion for the single-soliton resonance. Furthermore, our calculations only confirm the presence of the strongest boundary bound state previously derived from a boundary sine-Gordon field theory, while composite boundary-bulk excitations have too low intensities to be observable. Upon increasing the temperature, we find a temperature-induced crossover of the soliton and the emergence of new features, such as interbreather transitions. The latter observation is confirmed by our ESR experiments on Cu-PM over a wide range of the applied field.

17 pages, 16 figures; published version (including final revisions)

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Cited by in corpus (10)

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• Dynamic structure factor of the spin-1/2 XXZ chain in a transverse field
• Quantum sine-Gordon dynamics in coupled spin chains
• Angular dependence of electron spin resonance for detecting quadrupolar liquid state of frustrated spin chains
• Multi-triplet bound states and finite-temperature dynamics in highly frustrated quantum spin ladders
• Magnetic order and ballistic spin transport in a sine-Gordon spin chain
• Numerical interchain mean-field theory for the specific heat of the bimetallic ferromagnetically coupled chain compound MnNi(NO${}_2$)${}_4$(en)${}_2$ (en = ethylenediamine)
• Momentum-resolved two-dimensional spectroscopy as a probe of nonlinear quantum field dynamics