Superconductivity and other phase transitions in a hybrid Bose-Fermi mixture formed by a polariton condensate and an electron system in two dimensions
Ovidiu Cotle\c{t}, Sina Zeytino\v{g}lu, Manfred Sigrist, Eugene Demler, and Ata\c{c} Imamo\v{g}lu

TL;DR
This paper explores a novel hybrid Bose-Fermi system combining a polariton condensate with a 2D electron system, predicting tunable long-range interactions that could enable optically controlled superconductivity at a few Kelvin.
Contribution
It introduces a new hybrid system with long-range, tunable interactions and analyzes its potential for high-temperature superconductivity and other phase transitions.
Findings
Superconductivity with critical temperatures of a few Kelvin predicted.
Long-range, tunable interactions peaked at specific wavevectors.
Potential for optical control of superconductivity in heterostructures.
Abstract
Interacting Bose-Fermi systems play a central role in condensed matter physics. Here, we analyze a novel Bose-Fermi mixture formed by a cavity exciton-polariton condensate interacting with a two-dimensional electron system. We show that that previous predictions of superconductivity [F.P. Laussy, Phys. Rev. Lett. 10, 104 (2010)] and excitonic supersolid formation [I.A. Shelykh, Phys. Rev. Lett. 14, 105 (2010)] in this system are closely intertwined- resembling the predictions for strongly correlated electron systems such as high temperature superconductors. In stark contrast to a large majority of Bose-Fermi systems analyzed in solids and ultracold atomic gases, the renormalized interaction between the polaritons and electrons in our system is long-ranged and strongly peaked at a tunable wavevector, which can be rendered incommensurate with the Fermi momentum. We analyze the prospects…
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