Superconductor--Insulator Transition in a non-Fermi Liquid

Abstract

We present a model of a strongly correlated system with a non-Fermi liquid high temperature phase. Its ground state undergoes an insulator to superconductor quantum phase transition (QPT) as a function of a pairing interaction strength. Both the insulator and the superconductor are originating from the same interaction mechanism. The resistivity in the insulating phase exhibits the activation behavior with the activation energy, which goes to zero at the QPT. This leads to a wide quantum critical regime with an algebraic temperature dependence of the resistivity. Upon raising the temperature in the superconducting phase, the model exhibits a finite temperature phase transition to a Bose metal phase, which separates the superconductor from the non-Fermi liquid metal.

14 pages, 6 figures

References in corpus (10)

• The structure and dynamics of multilayer networks
• Fermi-liquid instabilities at magnetic quantum phase transitions
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• Synchronization processes in complex networks
• Synchronizability determined by coupling strengths and topology on Complex Networks
• Electronic phase diagram of high temperature copper oxide superconductors
• Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
• Eliashberg equations for an electron-phonon version of the Sachdev-Ye-Kitaev model: Pair Breaking in non-Fermi liquid superconductors
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Paraconductivity of pseudogapped superconductors

Cited by in corpus (3)

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• Possible Topological Superconductivity in a Topological Crystalline Insulator (Pb${}_{1-x}$Sn${}_x$)${}_{1-y}$In${}_y$Te