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

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.

20 pages, 10 figures

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• Exponential Thermal Tensor Network Approach for Quantum Lattice Models
• Algebraic vortex liquid theory of a quantum antiferromagnet on the kagome lattice
• Two-temperature scales in the triangular-lattice Heisenberg antiferromagnet
• Magnetic phase diagram of the spin-1/2 antiferromagnetic zigzag ladder
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• Magnetic order in coupled spin-half and spin-one Heisenberg chains in anisotropic triangular-lattice geometry
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• Excitation spectra and ground state properties of the layered spin-1/2 frustrated antiferromagnets Cs_2CuCl_4 and Cs_2CuBr_4
• Spin-charge-entangled non-Fermi liquid in a candidate material for a doped spin liquid
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• An Exact Diagonalization Study of the Anisotropic Triangular Lattice Heisenberg Model Using Twisted Boundary Conditions
• Critical spin liquid at 1/3 magnetization in a spin-1/2 triangular antiferromagnet
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• Phases and phase transitions in a $U(1)\times U(1)$ system with $\theta =2\pi /3$ mutual statistics
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• Fermionized dual vortex theory for magnetized kagomé spin liquid
• Nature of an intermediate non-Fermi liquid state in Ge-substituted YbRh${}_2$Si${}_2$: Fermionized skyrmions, Lifshitz transition, Skyrmion liquid, and Gruneisen ratio
• Magnon Spectrum of the Amorphous Ferromagnet Co${}_4$P from Atomistic Spin Dynamics