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Critical spin liquid at ⅓ magnetization in a spin-½ triangular antiferromagnet

Alicea, Jason and Fisher, Matthew P. A. (2007) Critical spin liquid at ⅓ magnetization in a spin-½ triangular antiferromagnet. Physical Review B, 75 (14). Art. No. 144411. ISSN 1098-0121. doi:10.1103/physrevb.75.144411.

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Although magnetically ordered at low temperatures, the spin-½ triangular antiferromagnet Cs₂CuCl₄ exhibits remarkable spin dynamics that strongly suggest proximity to a spin-liquid phase. Here we ask whether a proximate spin liquid may also occur in an applied magnetic field, leaving a similar imprint on the dynamical spin correlations of this material. Specifically, we explore a spatially anisotropic Heisenberg spin-½ triangular antiferromagnet at ⅓ magnetization from a dual vortex perspective, and indeed find a “critical” spin-liquid phase described by quantum electrodynamics in (2+1)-dimensions with an emergent SU(6) symmetry. A number of nontrivial predictions follow for the dynamical spin structure factor in this “algebraic vortex liquid” phase, which can be tested via inelastic neutron scattering. We also discuss how well-studied “up-up-down” magnetization plateaus can be captured within our approach, and further predict the existence of a stable gapless solid phase in a weakly ordered up-up-down state. Finally, we predict several anomalous “roton” minima in the excitation spectrum in the regime of lattice anisotropy where the canted Néel state appears.

Item Type:Article
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URLURL TypeDescription Paper
Alicea, Jason0000-0001-9979-3423
Additional Information:© 2007 American Physical Society. (Received 10 February 2007; revised manuscript received 23 February 2007; published 10 April 2007) It is a pleasure to acknowledge Olexei Motrunich and Leon Balents for illuminating discussions. This work was supported by the National Science Foundation through Grant Nos. PHY-9907949 (M.P.A.F.) and DMR-0529399 (M.P.A.F. and J.A.).
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Issue or Number:14
Classification Code:PACS number(s): 75.10.Jm, 75.40.Gb
Record Number:CaltechAUTHORS:20200225-123359220
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101539
Deposited By: George Porter
Deposited On:26 Feb 2020 16:36
Last Modified:16 Nov 2021 18:03

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