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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Format: | Journal article |
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American Physical Society
2019
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_version_ | 1797088229507203072 |
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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 |
first_indexed | 2024-03-07T02:47:01Z |
format | Journal article |
id | oxford-uuid:ac617fc3-4916-407f-a418-3f0d6e5ce76f |
institution | University of Oxford |
last_indexed | 2024-03-07T02:47:01Z |
publishDate | 2019 |
publisher | American Physical Society |
record_format | dspace |
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 |