Università di Pisa & Graphene Labs Genova, Italy
Photon-mediated effective electron-electron interactions (EEIs) have been known for a long time [1]
to yield one of the harshest forms of non-Fermi-liquid states of matter which have been unraveled so
far. These EEIs have been recently revisited in the context of cavity-QED of strongly correlated
electron systems. In particular, it has been predicted [2] that two-dimensional electron gases placed
inside Terahertz cavities display an exotic form of superconductivity, known in the field of high-Tc
superconductors as “Amperean” superconductivity [3]. In this talk I will discuss some recent
unpublished results [4] on the possibility to engineer Amperean superconductivity in a graphene sheet
embedded in an optical cavity, highlighting, in particular, subtleties associated with the difference
between longitudinal and transverse electromagnetic fluctuations.
[1] M. Yu. Reizer, Phys. Rev. B 39, 1602 (1989).
[2] F. Schlawin, A. Cavalleri, and D. Jaksch, Phys. Rev. Lett. 122, 133602 (2019).
[3] See e.g. P. A. Lee, Phys. Rev. X 4, 031017 (2014) and references therein to earlier work.
[4] A. De Pasquale, G. M. Andolina, F. M. D. Pellegrino, I. Torre, F. H. L. Koppens, and M. Polini, to
be published.