Amperean superconductivity cannot be induced by deep subwavelength cavities in a two-dimensional material
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 1-20 K in two-dimensional, parabolic-band, electron gases embedded inside deep sub-wavelength 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 sub-wavelength 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.
Keywords
Cite
@article{arxiv.2210.10371,
title = {Amperean superconductivity cannot be induced by deep subwavelength cavities in a two-dimensional material},
author = {Gian Marcello Andolina and Antonella De Pasquale and Francesco Maria Dimitri Pellegrino and Iacopo Torre and Frank H. L. Koppens and Marco Polini},
journal= {arXiv preprint arXiv:2210.10371},
year = {2024}
}
Comments
25 pages. Replaced with a greatly modified version, with the addition of an entirely new Section. This new Section presents a Green's function approach to EEEIs that highlights the profound difference between planar optical cavities and sub-wavelength cavities