Chiral Spin Liquid and Quantum Criticality in Extended $S=1/2$ Heisenberg Models on the Triangular Lattice

Abstract

We investigate the $J_1$-$J_2$ Heisenberg model on the triangular lattice with an additional scalar chirality term and show that a chiral spin liquid is stabilized in a sizeable region of the phase diagram. This topological phase is situated in between a coplanar $120^{\circ }$ Néel ordered and a non-coplanar tetrahedrally ordered phase. Furthermore we discuss the nature of the spin-disordered intermediate phase in the $J_1$-$J_2$ model. We compare the groundstates from Exact Diagonalization with a Dirac spin liquid wavefunction and propose a scenario where this wavefunction describes the quantum critical point between the $120^{\circ }$ magnetically ordered phase and a putative ${\mathbb{Z}}_2$ spin liquid.

6 pages, 5 figures (+ supp. mat.)

References in corpus (11)

• Non-Abelian Anyons and Topological Quantum Computation
• "Deconfined" quantum critical points
• Mott Transition from a Spin Liquid to a Fermi Liquid in the Spin-Frustrated Organic Conductor kappa-(ET)2Cu2(CN)3
• On the stability of U(1) spin liquids in two dimensions
• Spin liquid phase of the $S=\frac{1}{2}$ $J_1-J_2$ Heisenberg model on the triangular lattice
• Algebraic spin liquid as the mother of many competing orders
• Highly Frustrated Magnetic Clusters: The kagome on a sphere
• Chiral Spin Liquids in Arrays of Spin Chains
• Spontaneous formation of a non-uniform chiral spin liquid in moat-band lattices
• Modular matrices from universal wave function overlaps in Gutzwiller-projected parton wave functions
• Failure of Gutzwiller-type wave function to capture gauge fluctuations: Case study in the Exciton Bose Liquid context

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