Spin nematics next to spin singlets

Abstract

We provide a route to generate nematic order in a spin-1/2 system. Unlike the well-known magnon-binding mechanism, our spin nematics requires neigher the frustration effect nor a spin polarization in a high field or in the vicinity of a ferromagnet, but instead appears next to the spin singlet phase. We start from a state consisting of a quantum spin-1/2 singlet dimer placed on each site of a triangular lattice, and show that inter-dimer ring exchange interactions efficiently dope the SU(2) triplets that itinerate and interact, easily driving a stable singlet state to either Bose Einstein condensates or a triplet crystal, some hosting a spin nematic order. A variety of roles the ring exchange serves include the generation of a bilinear-biquadratic interaction between nearby triplets, which is responsible for the emergent nematic order separated from the singlet phase by a first order transition.

6 pages , 4 figures

References in corpus (12)

• Supersolid hardcore bosons on the triangular lattice
• The quadrupolar phases of the S=1 bilinear-biquadratic Heisenberg model on the triangular lattice
• Dimensional reduction at a quantum critical point
• Effective spin model for the spin-liquid phase of the Hubbard model on the triangular lattice
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• Spin nematic ground state of the triangular lattice S=1 biquadratic model
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• Mechanisms for Spin-Supersolidity in S=1/2 Spin-Dimer Antiferromagnets
• Origin of Biquadratic Exchange Interactions in a Mott Insulator as a Driving Force of Spin Nematic Order
• Magnetic Phase Diagram of Spin-1/2 Two-Leg Ladder with Four-Spin Ring Exchange

Cited by in corpus (5)

• Phase diagram of the quantum spin-1/2 Heisenberg-$\Gamma$ model on a frustrated zigzag chain
• Field-induced spin nematic Tomonaga-Luttinger liquid of the $S=1/2$ spin ladder system with the anisotropic ferromagnetic rung interaction
• Spin nematics in frustrated spin-dimer systems with bilayer structure
• Abundant quadrupolar or nematic phases driven by the Heisenberg interactions in a spin-1 dimer system forming a bilayer
• Dynamics of quantum spin-nematics: Comparisons with canted antiferromagnets