NMR relaxation in Ising spin chains

Abstract

We examine the low frequency spin susceptibility of the paramagnetic phase of the quantum Ising chain in transverse field at temperatures well below the energy gap. We find that the imaginary part is dominated by rare quantum processes in which the number of quasiparticles changes by an odd number. We obtain exact results for the NMR relaxation rate in the low temperature limit for the integrable model with nearest-neighbor Ising interactions, and derive exact universal scaling results applicable to generic Ising chains near the quantum critical point. These results resolve certain discrepancies between the energy scales measured with different experimental probes in the quantum disordered paramagnetic phase of the Ising chain system CoNb${}_2$O${}_6$.

arXiv comment16 pages, 4 figures

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Cited by in corpus (11)

• Duality and domain wall dynamics in a twisted Kitaev chain
• Finite temperature and quench dynamics in the Transverse Field Ising Model from form factor expansions
• A systematic $1/c$-expansion of form factor sums for dynamical correlations in the Lieb-Liniger model
• Continuous matrix product operator approach to finite temperature quantum states
• Out-of-equilibrium dynamics of the XY spin chain from form factor expansion
• The Magnetic Grüneisen Parameter for Model Systems
• Exact expressions for the partition function of the one-dimensional Ising model in the fixed-$M$ ensemble
• Local dynamics and thermal activation in the transverse-field Ising chain
• Emergent $D_8^{(1)}$ spectrum and topological soliton excitation in CoNb${}_2$O${}_6$
• Dynamical correlation functions in the Ising field theory
• Long-time divergences in the nonlinear response of gapped one-dimensional many-particle systems