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Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking
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Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking
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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.
Forward citations
Cited by 3 Pith papers
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Fractionalized metals from doped anyons: Application to tMoTe2
Lightly doped 2/3 FQAH anyons form U(3)-symmetric Z3 Orthogonal Metals of charge-1/3 fermions that explain large resistivity and pair into ordinary 2e superconductors.
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Color superconductors and holon metals from doping a Fractional Chern insulator
Doping a C=1/3 fractional Chern insulator can produce charge-2e superconductors and holon metals described by a nine-pocket SU(3) parton theory.
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Superconductivity and non-Fermi liquid metals in a charge-1/3 anyon fluid
Doping a fractional Chern insulator yields an anyon fluid that can form an SC* superconductor with residual Z2 order or a non-Fermi liquid Z3 orthogonal metal.
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