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.

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

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Cited by in corpus (18)

• Roadmap for Photonics with 2D Materials
• Cavity engineering of solid-state materials without external driving
• Cavity engineered phonon-mediated superconductivity in MgB${}_2$ from first principles quantum electrodynamics
• Polaritonic Quantum Matter
• Cavity-enhanced superconductivity via band engineering
• Tuning Fermi Liquids with polaritonic Cavities
• Theory of fractional quantum Hall liquids coupled to quantum light and emergent graviton-polaritons
• Thermal Purcell effect and cavity-induced renormalization of dissipations
• Nonthermal electron-photon steady states in open cavity quantum materials
• Quantum Electrodynamics of graphene Landau levels in a deep-subwavelength hyperbolic phonon polariton cavity
• Light-matter interactions in the vacuum of ultra-strongly coupled systems
• One-dimensional extended Hubbard model coupled with an optical cavity
• Schottky anomaly in a cavity-coupled double quantum well
• Ultrafast dynamics of quantum matter driven by time-energy entangled photons
• General theory of cavity-mediated interactions between low-energy matter excitations
• Casimir-Lifshitz Theory for Cavity Modification of Ground-State Energy
• Dichroic cavity mode splitting and lifetimes from interactions with a ferromagnetic metal
• Non-thermal pairing glue of electrons in the steady state