Detection of Kardar–Parisi–Zhang hydrodynamics in a quantum Heisenberg spin-1/2 chain

Scheie, A.; Sherman, N. E.; Dupont, M.; Nagler, S. E.; Stone, M. B.; Granroth, G. E.; Moore, J. E.; Tennant, D. A.

doi:10.1038/s41567-021-01191-6

Title: Detection of Kardar–Parisi–Zhang hydrodynamics in a quantum Heisenberg spin-1/2 chain

Journal Article · Thu Mar 11 00:00:00 EST 2021 · Nature Physics

DOI:https://doi.org/10.1038/s41567-021-01191-6· OSTI ID:1782047

^[1]; Sherman, N. E. ^[2];

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^[1]; Moore, J. E. ^[2];

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Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Shull-Wollan Center; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Quantum Science Center

Classical hydrodynamics is a remarkably versatile description of the coarse-grained behaviour of many-particle systems once local equilibrium has been established. The form of the hydrodynamical equations is determined primarily by the conserved quantities present in a system. Some quantum spin chains are known to possess, even in the simplest cases, a greatly expanded set of conservation laws, and recent work suggests that these laws strongly modify collective spin dynamics, even at high temperature. In this work, by probing the dynamical exponent of the one-dimensional Heisenberg antiferromagnet KCuF₃ with neutron scattering, we find evidence that the spin dynamics are well described by the dynamical exponent z = 3/2, which is consistent with the recent theoretical conjecture that the dynamics of this quantum system are described by the Kardar–Parisi–Zhang universality class. This observation shows that low-energy inelastic neutron scattering at moderate temperatures can reveal the details of emergent quantum fluid properties like those arising in non-Fermi liquids in higher dimensions.

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Research Organization:: Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division; USDOE Office of Science (SC), Basic Energy Sciences (BES), Materials Sciences & Engineering Division

Grant/Contract Number:: AC05-00OR22725; AC02-05-CH11231; AC02-05CH11231

OSTI ID:: 1782047

Alternate ID(s):: OSTI ID: 1788012

Journal Information:: Nature Physics, Vol. 17; ISSN 1745-2473

Publisher:: Nature Publishing Group (NPG)Copyright Statement

Country of Publication:: United States

Language:: English

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