Alicea, Jason (2008) Monopole quantum numbers in the staggered flux spin liquid. Physical Review B, 78 (3). Art. No. 035126. ISSN 1098-0121. doi:10.1103/PhysRevB.78.035126. https://resolver.caltech.edu/CaltechAUTHORS:ALIprb08
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Abstract
Algebraic spin liquids, which are exotic gapless spin states preserving all microscopic symmetries, have been widely studied due to potential realizations in frustrated quantum magnets and the cuprates. At low energies, such putative phases are described by quantum electrodynamics in 2+1 dimensions. While significant progress has been made in understanding this nontrivial interacting field theory and the associated spin physics, one important issue which has proved elusive is the quantum numbers carried by so-called monopole operators. Here we address this issue in the “staggered flux” spin liquid which may be relevant to the pseudogap regime in high Tc. Employing general analytical arguments supported by simple numerics, we argue that proximate phases encoded in the monopole operators include the familiar Neel and valence bond solid orders, as well as other symmetry-breaking orders closely related to those previously explored in the monopole-free sector of the theory. Surprisingly, we also find that one monopole operator carries trivial quantum numbers, and briefly discuss its possible implications.
Item Type: | Article | |||||||||
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Additional Information: | ©2008 The American Physical Society. (Received 17 April 2008; revised 1 July 2008; published 25 July 2008) It is a pleasure to thank Leon Balents, Matthew P.A. Fisher, Michael Hermele, Anton Kapustin, Olexei Motrunich, Ying Ran, and Subir Sachdev for illuminating discussions. This work was supported by the National Science Foundation through Grant No. DMR-0210790 and the Lee A. DuBridge Foundation. | |||||||||
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Subject Keywords: | magnetic monopoles; quantum electrodynamics; quantum theory; spin systems | |||||||||
Issue or Number: | 3 | |||||||||
DOI: | 10.1103/PhysRevB.78.035126 | |||||||||
Record Number: | CaltechAUTHORS:ALIprb08 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:ALIprb08 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 11232 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Archive Administrator | |||||||||
Deposited On: | 26 Jul 2008 02:49 | |||||||||
Last Modified: | 08 Nov 2021 21:34 |
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