Gauge-free duality in pure square spin ice: Topological currents and monopoles
Abstract
We consider pure square spin ice, that is, square ice, where only nearest neighbors are coupled. The gauge-free duality between the perpendicular and collinear structure leads to a natural description in terms of topological currents and charges as the relevant degrees of freedom. That, in turn, can be expressed via a continuous field theory where the discrete spins are subsumed into entropic interactions among charges and currents. This approach produces structure factors, correlations, and susceptibilities for spins, monopoles, and currents. It also generalizes the height formalism of the disordered ground state to non-zero temperature. The framework can be applied to the zoology of recent experimental results, especially realizations on quantum annealers, and can be expanded to include longer range interactions.
- Publication Date:
- Research Org.:
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Laboratory Directed Research and Development (LDRD) Program
- OSTI Identifier:
- 1829635
- Alternate Identifier(s):
- OSTI ID: 1825209
- Report Number(s):
- LA-UR-21-28824
Journal ID: ISSN 2158-3226; TRN: US2216836
- Grant/Contract Number:
- 89233218CNA000001
- Resource Type:
- Accepted Manuscript
- Journal Name:
- AIP Advances
- Additional Journal Information:
- Journal Volume: 11; Journal Issue: 10; Journal ID: ISSN 2158-3226
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Material Science; Statistical mechanics models; Geometric topology; Entropy; Electrostatics; Magnetism; Free energy; Electrodynamics; Chemical physics; Phase transitions; Magnetic ordering
Citation Formats
Nisoli, Cristiano. Gauge-free duality in pure square spin ice: Topological currents and monopoles. United States: N. p., 2021.
Web. doi:10.1063/5.0070545.
Nisoli, Cristiano. Gauge-free duality in pure square spin ice: Topological currents and monopoles. United States. https://doi.org/10.1063/5.0070545
Nisoli, Cristiano. Fri .
"Gauge-free duality in pure square spin ice: Topological currents and monopoles". United States. https://doi.org/10.1063/5.0070545. https://www.osti.gov/servlets/purl/1829635.
@article{osti_1829635,
title = {Gauge-free duality in pure square spin ice: Topological currents and monopoles},
author = {Nisoli, Cristiano},
abstractNote = {We consider pure square spin ice, that is, square ice, where only nearest neighbors are coupled. The gauge-free duality between the perpendicular and collinear structure leads to a natural description in terms of topological currents and charges as the relevant degrees of freedom. That, in turn, can be expressed via a continuous field theory where the discrete spins are subsumed into entropic interactions among charges and currents. This approach produces structure factors, correlations, and susceptibilities for spins, monopoles, and currents. It also generalizes the height formalism of the disordered ground state to non-zero temperature. The framework can be applied to the zoology of recent experimental results, especially realizations on quantum annealers, and can be expanded to include longer range interactions.},
doi = {10.1063/5.0070545},
journal = {AIP Advances},
number = 10,
volume = 11,
place = {United States},
year = {2021},
month = {10}
}
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