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.

9+ pages, 7 figures, final version

References in corpus (5)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Quantum Spin Hall Effect in Inverted Type II Semiconductors
• Quantum Spin Hall Effect in Strip of Stripes Model
• The plasma picture of the fractional quantum Hall effect with internal SU(K) symmetries

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• General scatterings and electronic states in the quantum-wire network of moiré systems
• Generalized parafermions and non-local Josephson effect in multi-layer systems
• 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
• Quantum spin liquids bootstrapped from Ising criticality in Rydberg arrays