Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking

Abstract

Recently, in certain flat band lattice systems at commensurate fillings, fractional quantum Hall states have been found -- which have anyonic excitations. We study such systems away from commensuration, i.e. the ground state of an anyon gas in such a system. The presence of the underlying lattice allows access to an entirely new regime where the anyon kinetic energy can be larger than their interaction energy. Within the flux-attachment approach, using mean-field then adding fluctuations, we find several possible superfluid states. Two have intrinsic topological order, i.e. fractionalized quasiparticles with a fusion structure of (Z_2)^4 and (Z_8)^2 respectively, and a third has no fractionalized excitations similar to a BCS-type state. This represents a mechanism for superconductivity driven purely by strong repulsion and complex hopping of electrons.

8 pages, 4 figures

References in corpus (6)

• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Nearly-flat bands with nontrivial topology
• Fractional quantum Hall effect in the absence of Landau levels
• Fractional Chern Insulator
• Generic Wavefunction Description of Fractional Quantum Anomalous Hall States and Fractional Topological Insulators

Cited by in corpus (6)

• Topological chiral superconductivity beyond pairing in a Fermi liquid
• Twisted Quantum Double Model of Topological Orders with Boundaries
• Fermion Condensation and Gapped Domain Walls in Topological Orders
• Doping a fractional quantum anomalous Hall insulator
• Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
• Variational Monte Carlo Optimization of Topological Chiral Superconductors