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Published February 1, 2019 | Published + Submitted
Journal Article Open

A simple mechanism for unconventional superconductivity in a repulsive fermion model

Abstract

Motivated by a scarcity of simple and analytically tractable models of superconductivity from strong repulsive interactions, we introduce a simple tight-binding lattice model of fermions with repulsive interactions that exhibits unconventional superconductivity (beyond BCS theory). The model resembles an idealized conductor-dielectric-conductor trilayer. The Cooper pair consists of electrons on opposite sides of the dielectric, which mediates the attraction. In the strong coupling limit, we use degenerate perturbation theory to show that the model reduces to a superconducting hard-core Bose-Hubbard model. Above the superconducting critical temperature, an analog of pseudo-gap physics results where the fermions remain Cooper paired with a large single-particle energy gap.

Additional Information

© 2018 K. Slagle and Y. B. Kim. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 20-09-2018; Accepted 28-01-2019; Published 01-02-2019. We thank Garnet Chan, Alon Ron, Arun Paramekanti, Patrick Lee, Alex Thomson, Jong Yeon Lee, Nai-Chang Yeh, Yuval Oreg, Arbel Haim, Leonid Isaev, and Olexei Motrunich for helpful discussions. This work was supported by the NSERC of Canada and the Center for Quantum Materials at the University of Toronto. KS also acknowledges support from the Walter Burke Institute for Theoretical Physics at Caltech.

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Published - SciPostPhys_6_2_016.pdf

Submitted - 1805.05331v6.pdf

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