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Bulletin of the American Physical Society

Projective symmetry group classification of $Z_2$ spin liquids in a pyrochlore lattice

Chunxiao Liu, Leon Balents

Published Mar 16, 2017• 0 citations
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Projective symmetry group classification of Z2Z_2Z2​ spin liquids in a pyrochlore lattice
Classification of Z2Z_2Z2​ spin liquids in a hyperkagome lattice by projective symmetry groups
Simplified models for quantum spin-ice materials, such as the XXZ model on the pyrochlore lattice, may host interesting new spin-liquid ground states. In this work, the authors provide a complete classification of nearest-neighbor chiral Z2{\mathbb{Z}}_{2}Z2​ spin-liquid states on the pyrochlore lattice using a projective symmetry group analysis. Moreover, the newly classified states are applied to the XXZ model within a self-consistent mean-field scheme. Observable signatures in neutron scattering experiments are discussed.
Realization of symmetry classes for gapped Z2Z_{2}Z2​ spin liquids in simple models