An Atlas of Classical Pyrochlore Spin Liquids
Daniel Lozano-G\'omez, Owen Benton, Michel J. P. Gingras, Han Yan

TL;DR
This paper develops a comprehensive theoretical framework and systematic classification of classical spin liquids on the pyrochlore lattice, identifying all possible states and their emergent field theories through combined analytical and Monte Carlo methods.
Contribution
It introduces a novel framework for classifying and characterizing classical spin liquids on the pyrochlore lattice, including an atlas of all such states and their emergent Gauss's laws.
Findings
Identified all classical spin liquids for the general nearest-neighbor anisotropic spin Hamiltonian.
Discovered new spin liquid models with exotic generalized Gauss's laws and multipole conservation.
Provided a global phase diagram connecting different spin liquid states.
Abstract
Frustrated magnetism in the pyrochlore lattice magnet has proven to be a most fruitful setting for the experimental and theoretical search for spin liquids. Besides the canonical case of spin ice, recent works have identified a variety of new classical and quantum spin liquids engendered by the generic nearest-neighbor anisotropic spin Hamiltonian for that lattice. However, a general framework for the thorough and systematic classification and characterization of these exotic states of matter has been lacking, as has an exhaustive list of all possible spin liquids that this model can support and, perhaps most interesting, what is the corresponding structure of their emergent field theory description. In this work, we develop such a theoretical framework to identify the interaction parameters stabilizing different classical spin liquids and derive their corresponding effective…
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Taxonomy
TopicsAdvanced Condensed Matter Physics · Nuclear materials and radiation effects
