Detection of Kardar–Parisi–Zhang hydrodynamics in a quantum Heisenberg spin-1/2 chain
Abstract
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.
- Authors:
-
[1];
[2];
[1];
[1];
[1];
[3]
- 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
- Publication Date:
- Research Org.:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States); Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
- Sponsoring Org.:
- 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
- OSTI Identifier:
- 1782047
- Alternate Identifier(s):
- OSTI ID: 1788012
- Grant/Contract Number:
- AC05-00OR22725; AC02-05-CH11231; AC02-05CH11231
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Nature Physics
- Additional Journal Information:
- Journal Volume: 17; Journal ID: ISSN 1745-2473
- Publisher:
- Nature Publishing Group (NPG)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Magnetic properties and materials; statistical physics; theoretical physics
Citation Formats
Scheie, A., Sherman, N. E., Dupont, M., Nagler, S. E., Stone, M. B., Granroth, G. E., Moore, J. E., and Tennant, D. A. Detection of Kardar–Parisi–Zhang hydrodynamics in a quantum Heisenberg spin-1/2 chain. United States: N. p., 2021.
Web. doi:10.1038/s41567-021-01191-6.
Scheie, A., Sherman, N. E., Dupont, M., Nagler, S. E., Stone, M. B., Granroth, G. E., Moore, J. E., & Tennant, D. A. Detection of Kardar–Parisi–Zhang hydrodynamics in a quantum Heisenberg spin-1/2 chain. United States. https://doi.org/10.1038/s41567-021-01191-6
Scheie, A., Sherman, N. E., Dupont, M., Nagler, S. E., Stone, M. B., Granroth, G. E., Moore, J. E., and Tennant, D. A. Thu .
"Detection of Kardar–Parisi–Zhang hydrodynamics in a quantum Heisenberg spin-1/2 chain". United States. https://doi.org/10.1038/s41567-021-01191-6. https://www.osti.gov/servlets/purl/1782047.
@article{osti_1782047,
title = {Detection of Kardar–Parisi–Zhang hydrodynamics in a quantum Heisenberg spin-1/2 chain},
author = {Scheie, A. and Sherman, N. E. and Dupont, M. and Nagler, S. E. and Stone, M. B. and Granroth, G. E. and Moore, J. E. and Tennant, D. A.},
abstractNote = {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.},
doi = {10.1038/s41567-021-01191-6},
journal = {Nature Physics},
number = ,
volume = 17,
place = {United States},
year = {Thu Mar 11 00:00:00 EST 2021},
month = {Thu Mar 11 00:00:00 EST 2021}
}
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