Model of spin liquids with and without time-reversal symmetry

Abstract

We study a model in (2+1)-dimensional spacetime that is realized by an array of chains, each of which realizes relativistic Majorana fields in (1+1)-dimensional spacetime, coupled via current-current interactions. The model is shown to have a lattice realization in an array of two-leg quantum spin-1/2 ladders. We study the model both in the presence and absence of time-reversal symmetry, within a mean-field approximation. We find regimes in coupling space where Abelian and non-Abelian spin liquid phases are stable. In the case when the Hamiltonian is time-reversal symmetric, we find regimes where gapped Abelian and non-Abelian chiral phases appear as a result of spontaneous breaking of time-reversal symmetry. These gapped phases are separated by a discontinuous phase transition. More interestingly, we find a regime where a non-chiral gapless non-Abelian spin liquid is stable. The excitations in this regime are described by relativistic Majorana fields in (2+1)-dimensional spacetime, much as those appearing in the Kitaev honeycomb model, but here emerging in a model of coupled spin ladders that does not break SU(2) spin-rotation symmetry.

arXiv comment14 pages, 6 figures

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Cited by in corpus (7)

• Coupled-wire constructions: a Luttinger liquid approach to topology
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Ground-state phase diagram of a spin-1/2 frustrated XXZ ladder
• Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders
• Fractonic criticality in Rydberg atom arrays
• Phase diagram of a spin-1/2 Heisenberg ladder with a chirality-chirality interaction
• Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires