NMR relaxation in Ising spin chains

We examine the low frequency spin susceptibility of the paramagnetic phase of the quantum Ising chain in a 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...

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Main Authors: Steinberg, J, Armitage, N, Essler, F, Sachdev, S
Format: Journal article
Published: American Physical Society 2019
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author Steinberg, J
Armitage, N
Essler, F
Sachdev, S
author_facet Steinberg, J
Armitage, N
Essler, F
Sachdev, S
author_sort Steinberg, J
collection OXFORD
description We examine the low frequency spin susceptibility of the paramagnetic phase of the quantum Ising chain in a 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 CoNb206
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spelling oxford-uuid:ac617fc3-4916-407f-a418-3f0d6e5ce76f2022-03-27T03:28:36ZNMR relaxation in Ising spin chainsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ac617fc3-4916-407f-a418-3f0d6e5ce76fSymplectic Elements at OxfordAmerican Physical Society2019Steinberg, JArmitage, NEssler, FSachdev, SWe examine the low frequency spin susceptibility of the paramagnetic phase of the quantum Ising chain in a 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 CoNb206
spellingShingle Steinberg, J
Armitage, N
Essler, F
Sachdev, S
NMR relaxation in Ising spin chains
title NMR relaxation in Ising spin chains
title_full NMR relaxation in Ising spin chains
title_fullStr NMR relaxation in Ising spin chains
title_full_unstemmed NMR relaxation in Ising spin chains
title_short NMR relaxation in Ising spin chains
title_sort nmr relaxation in ising spin chains
work_keys_str_mv AT steinbergj nmrrelaxationinisingspinchains
AT armitagen nmrrelaxationinisingspinchains
AT esslerf nmrrelaxationinisingspinchains
AT sachdevs nmrrelaxationinisingspinchains