Superconducting States in pseudo-Landau Levels of Strained Graphene

TL;DR

This paper explores how strain-induced pseudo-Landau levels in graphene can host superconducting states, revealing quantum critical behavior and tunable transition temperatures via strain and filling factors.

Contribution

It demonstrates the emergence of superconductivity in strained graphene's pseudo-Landau levels and characterizes its quantum critical properties and tunability.

Findings

Superconductivity appears at partial fillings of pseudo-Landau levels.

Critical temperature scales linearly with coupling strength in weak coupling regime.

Superconductivity can be controlled by strain and filling fraction.

Abstract

We describe the formation of superconducting states in graphene in the presence of pseudo-Landau levels induced by strain, when time reversal symmetry is preserved. We show that superconductivity in strained graphene is quantum critical when the pseudo-Landau levels are completely filled, whereas at partial fillings superconductivity survives at weak coupling. In the weak coupling limit, the critical temperature scales \emph{linearly} with the coupling strength and shows a sequence of quantum critical points as a function of the filling factor that can be accessed experimentally. We argue that superconductivity can be induced by electron-phonon coupling and that the transition temperature can be controlled with the amount of strain and with the filling fraction of the Landau levels.