Competing orders in pyrochlore magnets from a ${\mathbb{Z}}_{2}$ spin liquid perspective
Abstract
We report that the pyrochlore materials have long been predicted to harbor a quantum spin liquid, an intrinsic longrangeentangled state supporting fractionalized excitations. Existing pyrochlore experiments, on the other hand, have discovered several weakly ordered states and a tendency of close competition amongst them. Motivated by these facts, we give a complete classification of spinorbitcoupled ${\mathbb{Z}}_{2}$ spinliquid states on the pyrochlore lattice by using the projective symmetry group (PSG) approach for bosonic spinons. For each spin liquid, we construct a meanfield Hamiltonian that can be used to describe phase transitions out of the spin liquid via spinon condensation. Studying these phase transitions, we establish phase diagrams for our meanfield Hamiltonians that link magnetic orders to specific spin liquids. In general, we find that seemingly unrelated magnetic orders are intertwined with each other and that the conventional spin orders seen in the experiments are accompanied by more exotic hidden orders. Our critical theories are categorized into z = 1 and z = 2 types, based on their spinon dispersion and Hamiltonian diagonalizability, and are shown to give distinct signatures in the heat capacity and the spin structure factor. Lastly, this study provides a clear map of pyrochlore phases for future experiments and variational Monte Carlo studies in pyrochlore materials.
 Authors:

 Univ. of California, Santa Barbara, CA (United States)
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States); Univ. of California, Santa Barbara, CA (United States)
 Univ. of California, Santa Barbara, CA (United States) ; Canadian Inst.for Advanced Research, Toronto, ON (Canada)
 Publication Date:
 Research Org.:
 Univ. of California, Santa Barbara, CA (United States). Kavli Institute for Theoretical Physics
 Sponsoring Org.:
 USDOE Office of Science (SC), Basic Energy Sciences (BES)
 OSTI Identifier:
 1556863
 Alternate Identifier(s):
 OSTI ID: 1556842
 Grant/Contract Number:
 FG0208ER46524
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Physical Review B
 Additional Journal Information:
 Journal Volume: 100; Journal Issue: 7; Journal ID: ISSN 24699950
 Publisher:
 American Physical Society (APS)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 36 MATERIALS SCIENCE; 75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY
Citation Formats
Liu, Chunxiao, Halász, Gábor B., and Balents, Leon. Competing orders in pyrochlore magnets from a Z2 spin liquid perspective. United States: N. p., 2019.
Web. doi:10.1103/PhysRevB.100.075125.
Liu, Chunxiao, Halász, Gábor B., & Balents, Leon. Competing orders in pyrochlore magnets from a Z2 spin liquid perspective. United States. https://doi.org/10.1103/PhysRevB.100.075125
Liu, Chunxiao, Halász, Gábor B., and Balents, Leon. Mon .
"Competing orders in pyrochlore magnets from a Z2 spin liquid perspective". United States. https://doi.org/10.1103/PhysRevB.100.075125. https://www.osti.gov/servlets/purl/1556863.
@article{osti_1556863,
title = {Competing orders in pyrochlore magnets from a Z2 spin liquid perspective},
author = {Liu, Chunxiao and Halász, Gábor B. and Balents, Leon},
abstractNote = {We report that the pyrochlore materials have long been predicted to harbor a quantum spin liquid, an intrinsic longrangeentangled state supporting fractionalized excitations. Existing pyrochlore experiments, on the other hand, have discovered several weakly ordered states and a tendency of close competition amongst them. Motivated by these facts, we give a complete classification of spinorbitcoupled Z2 spinliquid states on the pyrochlore lattice by using the projective symmetry group (PSG) approach for bosonic spinons. For each spin liquid, we construct a meanfield Hamiltonian that can be used to describe phase transitions out of the spin liquid via spinon condensation. Studying these phase transitions, we establish phase diagrams for our meanfield Hamiltonians that link magnetic orders to specific spin liquids. In general, we find that seemingly unrelated magnetic orders are intertwined with each other and that the conventional spin orders seen in the experiments are accompanied by more exotic hidden orders. Our critical theories are categorized into z = 1 and z = 2 types, based on their spinon dispersion and Hamiltonian diagonalizability, and are shown to give distinct signatures in the heat capacity and the spin structure factor. Lastly, this study provides a clear map of pyrochlore phases for future experiments and variational Monte Carlo studies in pyrochlore materials.},
doi = {10.1103/PhysRevB.100.075125},
journal = {Physical Review B},
number = 7,
volume = 100,
place = {United States},
year = {2019},
month = {8}
}
Web of Science
Figures / Tables:
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Works referencing / citing this record:
Threedimensional topological magnon systems
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 Kondo, Hiroki; Akagi, Yutaka; Katsura, Hosho
 Physical Review B, Vol. 100, Issue 14
Threedimensional topological magnon systems
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Figures / Tables found in this record: