Time reversal symmetry broken fractional topological phases at zero magnetic field

Abstract

We extend the coupled-wire construction of quantum Hall phases, and search for fractional topological insulating states in models of weakly coupled wires at zero external magnetic field. Focussing on systems beyond double copies of fractional quantum Hall states at opposite fields, we find that spin-spin interactions can stabilize a large family of fractional topological phases with broken time reversal invariance. The latter is manifest by spontaneous spin polarization, by a finite Hall conductivity, or by both. This suggests the possibility that fractional topological insulators may be unstable to spontaneous symmetry breaking.

arXiv comment9+ pages, 7 figures, final version

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• Topological Floquet Phases in Driven Coupled Rashba Nanowires
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• Chiral Spin Liquids in Arrays of Spin Chains
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• Fractional Charge and Spin States in Topological Insulator Constrictions
• Non-Abelian topological spin liquids from arrays of quantum wires or spin chains
• Fractional Topological Insulators: from sliding Luttinger Liquids to Chern-Simons theory
• Wire constructions of Abelian topological phases in three or more dimensions
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• From an array of quantum wires to three-dimensional fractional topological insulators
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• Non-Abelian SU(N-1)-singlet fractional quantum Hall states from coupled wires
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Theory of a 3+1D fractional chiral metal: interacting variant of the Weyl semimetal
• From fractional boundary charges to quantized Hall conductance
• Fractional chiral superconductors
• Gapless chiral spin liquid from coupled chains on the kagome lattice
• Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• General scatterings and electronic states in the quantum-wire network of moiré systems
• Hinge Modes and Surface States in Second-Order Topological Three-Dimensional Quantum Hall Systems induced by Charge Density Modulation
• Generalized parafermions and non-local Josephson effect in multi-layer systems
• Chiral and Non-Chiral Edge States in Quantum Hall Systems with Charge Density Modulation
• Microscopic Study of the Coupled-Wire Construction and Plausible Realization in Spin-Dependent Optical Lattices
• Universal conductance dips and fractional excitations in a two-subband quantum wire
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders
• Microscopic theory of fractional excitations in gapless bilayer quantum Hall states: semi-quantized quantum Hall states
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays