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

Jason Alicea·Olexei I. Motrunich·Matthew P. A. Fisher
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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 non-compact 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'' Neel 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.

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Jason Alicea, Olexei I. Motrunich, Matthew P. A. Fisher. 2005-12-18. Theory of the algebraic vortex liquid in an anisotropic spin-1/2 triangular antiferromagnet. https://doi.org/10.1103/physrevb.73.174430

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