Superconductivity in a system of interacting spinful semions

Koji Kudo; Jonathan Schirmer

doi:10.1103/PhysRevB.106.214517

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Superconductivity in a system of interacting spinful semions

Koji Kudo, Jonathan Schirmer

DOI 10.1103/PhysRevB.106.214517 · Physical Review B

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Abstract

Noninteracting particles obeying certain fractional statistics have been predicted to exhibit superconductivity. We discuss the issue in an attractively interacting system of spinful semions on a lattice by numerically investigating the presence of off-diagonal long-range order at zero temperature. For this purpose we construct a Hubbard model wherein two semions with opposite spin can virtually coincide while maintaining consistency with the fractional braiding statistics. Clear off-diagonal long-range order is seen in the strong coupling limit, consistent with the expectation that a pair of semions obeys Bose statistics. We find that the semion system behaves similarly to a system of fermions with the same attractive Hubbard U interaction for a wide range of U, suggesting that semions also undergo a BCS to BEC crossover as a function of U.