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Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice

Ryu, S. and Motrunich, O. I. and Alicea, J. and Fisher, Matthew P. A. (2007) Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice. Physical Review B, 75 (18). Art. No. 184406. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:RYUprb07

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Abstract

There is growing evidence from both experiment and numerical studies that low half-odd integer quantum spins on a kagome lattice with predominant antiferromagnetic near-neighbor interactions do not order magnetically or break lattice symmetries even at temperatures much lower than the exchange interaction strength. Moreover, there appears to be a plethora of low-energy excitations, predominantly singlets but also spin carrying, which suggests that the putative underlying quantum spin liquid is a gapless “critical spin liquid” rather than a gapped spin liquid with topological order. Here, we develop an effective field theory approach for the spin-(1/2) Heisenberg model with easy-plane anisotropy on the kagome lattice. By employing a vortex duality transformation, followed by a fermionization and flux smearing, we obtain access to a gapless yet stable critical spin liquid phase, which is described by (2+1)-dimensional quantum electrodynamics (QED3) with an emergent SU(8) flavor symmetry. The specific heat, thermal conductivity, and dynamical structure factor are extracted from the effective field theory, and contrasted with other theoretical approaches to the kagome antiferromagnet.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevB.75.184406DOIUNSPECIFIED
ORCID:
AuthorORCID
Motrunich, O. I.0000-0001-8031-0022
Alicea, J.0000-0001-9979-3423
Additional Information:© 2007 The American Physical Society (Received 13 January 2007; published 7 May 2007) The authors would like to thank P. Sindzingre for sharing his exact diagonalization results on the spin-1 2 XY kagome system. This research was supported by the National Science Foundation through Grants No. PHY99-07949 and No. DMR-0529399 [to two of the authors (M.P.A.F. and J.A.)].
Funders:
Funding AgencyGrant Number
NSFPHY99-07949
NSFDMR-0529399
Subject Keywords:Heisenberg model; spin systems; antiferromagnetism; vortices; liquid theory; frustration; magnetic anisotropy; fermion systems; quantum electrodynamics; specific heat; thermal conductivity; magnetic structure
Issue or Number:18
Record Number:CaltechAUTHORS:RYUprb07
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:RYUprb07
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:8489
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:15 Aug 2007
Last Modified:09 Mar 2020 13:18

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