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.

arXiv comment14 pages, 6 figures

References in corpus (48)

• The structure and dynamics of multilayer networks
• The pseudogap in high-temperature superconductors: an experimental survey
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Fermi-liquid instabilities at magnetic quantum phase transitions
• A Common Thread: the pairing interaction for the unconventional superconductors
• Synchronization in Complex Oscillator Networks and Smart Grids
• Vanishing of phase coherence in underdoped Bi_2Sr_2CaCu_2O_8+d
• Scattering and Pairing in Cuprate Superconductors
• Direct evidence for a competition between the pseudogap and high temperature superconductivity in the cuprates
• A strongly correlated metal built from Sachdev-Ye-Kitaev models
• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• Anomalous metals -- failed superconductors
• Linear in Temperature Resistivity and Associated Mysteries
• Correlation between linear resistivity and $T_c$ in the Bechgaard salts and the pnictide superconductor Ba(Fe${}_{1-x}$Co${}_x$)${}_2$As${}_2$
• Recent Developments in Non-Fermi Liquid Theory
• Explosive Phenomena in Complex Networks
• Notes on the complex Sachdev-Ye-Kitaev model
• Synchronization processes in complex networks
• Quantum coherence across bosonic superconductor-anomalous metal-insulator transitions
• Theory of a Planckian metal
• Cooper pairing of incoherent electrons: an electron-phonon version of the Sachdev-Ye-Kitaev model
• Translationally invariant non-Fermi liquid metals with critical Fermi-surfaces: Solvable models
• Shaping a superconducting dome: Enhanced Cooper-pairing versus suppressed phase coherence in coupled aluminum nanograins
• Synchronizability determined by coupling strengths and topology on Complex Networks
• Superconducting, Insulating, and Anomalous Metallic Regimes in a Gated Two-Dimensional Semiconductor-Superconductor Array
• Magnetotransport in a model of a disordered strange metal
• Superconductivity, pseudogap, and phase separation in topological flat bands: a quantum Monte Carlo study
• Electronic phase diagram of high temperature copper oxide superconductors
• Non-Fermi-liquid d-wave metal phase of strongly interacting electrons
• Collective energy gap of preformed Cooper-pairs in disordered superconductors
• Transport and chaos in lattice Sachdev-Ye-Kitaev models
• Thermopower across the pseudogap critical point of La(1.6-x)Nd(0.4)Sr(x)CuO(4): Evidence for a quantum critical point in a hole-doped high-Tc superconductor
• Coherent superconductivity with large gap ratio from incoherent metals
• Eliashberg equations for an electron-phonon version of the Sachdev-Ye-Kitaev model: Pair Breaking in non-Fermi liquid superconductors
• Self Duality and a possible Hall-insulator phase near the superconductor-to-insulator transition in two-dimensional indium-oxide films
• Evolution of Pairing Orders between Pseudogap and Superconducting Phases of Cuprate Superconductors
• Modeling the pseudogap metallic state in cuprates: quantum disordered pair density wave
• Intrinsic superconducting instabilities of a solvable model for an incoherent metal
• Quantum critical Eliashberg theory, the SYK superconductor and their holographic duals
• Superconducting instabilities in a spinful Sachdev-Ye-Kitaev model
• SYK Superconductivity: Quantum Kuramoto and Generalized Richardson Models
• Superconductivity of incoherent electrons in Yukawa-SYK model
• From hidden metal-insulator transition to Planckian-like dissipation by tuning disorder in a nickelate
• Bad metallic transport in geometrically frustrated models
• Strange metal state near quantum superconductor-metal transition in thin films
• Quantum discontinuity fixed point and renormalization group flow of the SYK model
• Metal-insulator-like transition, superconducting dome and topological electronic structure in Ga-doped Re${}_3$Ge${}_7$
• Paraconductivity of pseudogapped superconductors

Cited by in corpus (3)

• Electric conductivity in non-Hermitian holography
• Enhancement of Superconductivity in a Dirty Marginal Fermi Liquid
• Possible Topological Superconductivity in a Topological Crystalline Insulator (Pb${}_{1-x}$Sn${}_x$)${}_{1-y}$In${}_y$Te