Amperean superconductivity cannot be induced by deep subwavelength cavities in a two-dimensional material

Gian Marcello Andolina; Antonella De Pasquale; Francesco Maria Dimitri Pellegrino; Iacopo Torre; Frank H. L. Koppens; Marco Polini

doi:10.1103/PhysRevB.109.104513

Amperean superconductivity cannot be induced by deep subwavelength cavities in a two-dimensional material

Gian Marcello Andolina, Antonella De Pasquale, Francesco Maria Dimitri Pellegrino, Iacopo Torre, Frank H. L. Koppens, Marco Polini

DOI 10.1103/PhysRevB.109.104513 · Physical Review B

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Abstract

Amperean superconductivity is an exotic phenomenon stemming from attractive effective electron-electron interactions (EEEIs) mediated by a transverse gauge field. Originally introduced in the context of quantum spin liquids and high-Tc superconductors, Amperean superconductivity has been recently proposed to occur at temperatures on the order of 1–20K in two-dimensional, parabolic-band, electron gases embedded inside deep subwavelength optical cavities. In this work, we first generalize the microscopic theory of cavity-induced Amperean superconductivity to the case of graphene and then argue that this superconducting state cannot be achieved in the deep subwavelength regime. In the latter regime, indeed, a cavity induces only EEEIs between density fluctuations rather than the current-current interactions which are responsible for Amperean pairing.