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Theory of the algebraic vortex liquid in an anisotropic spin-(1/2) triangular antiferromagnet

Alicea, Jason and Motrunich, Olexei I. and Fisher, Matthew P. A. (2006) Theory of the algebraic vortex liquid in an anisotropic spin-(1/2) triangular antiferromagnet. Physical Review B, 73 (17). Art. No. 174430. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:ALIprb06

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Abstract

We explore spin-(1/2) triangular antiferromagnets with both easy-plane and lattice exchange anisotropies by employing a dual vortex mapping followed by a fermionization of the vortices. Over a broad range of exchange anisotropy, this approach leads naturally to a "critical" spin liquid—the algebraic vortex liquid—which appears to be distinct from other known spin liquids. We present a detailed characterization of this state, which is described in terms of noncompact QED3 with an emergent SU(4) symmetry. Descendant phases of the algebraic vortex liquid are also explored, which include the Kalmeyer-Laughlin spin liquid, a variety of magnetically ordered states such as the well-known coplanar spiral state, and supersolids. In the range of exchange anisotropy where the "square lattice" Néel ground state arises, we demonstrate that anomalous "roton" minima in the excitation spectrum recently reported in series expansions can be accounted for within our approach.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.73.174430DOIUNSPECIFIED
ORCID:
AuthorORCID
Alicea, Jason0000-0001-9979-3423
Motrunich, Olexei I.0000-0001-8031-0022
Additional Information:© 2006 The American Physical Society (Received 18 December 2005; published 24 May 2006) The authors would like to acknowledge Leon Balents and T. Senthil for many illuminating discussions, and especially Mike Hermele for an initial collaboration. This work was supported by the National Science Foundation (J.A.) through Grant Nos. PHY-9907949 (O.I.M. and M.P.A.F.) and DMR-0529399 (M.P.A.F.).
Funders:
Funding AgencyGrant Number
NSFPHY-9907949
NSFDMR-0529399
Subject Keywords:Heisenberg model; antiferromagnetism; exchange interactions (electron); magnetic anisotropy; ground states
Issue or Number:17
Record Number:CaltechAUTHORS:ALIprb06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:ALIprb06
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:7141
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:10 Jan 2007
Last Modified:09 Mar 2020 13:18

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