Single and two-particle energy gaps across the disorder-driven superconductor-insulator transition

Abstract

The competition between superconductivity and localization raises profound questions in condensed matter physics. In spite of decades of research, the mechanism of the superconductor-insulator transition (SIT) and the nature of the insulator are not understood. We use quantum Monte Carlo simulations that treat, on an equal footing, inhomogeneous amplitude variations and phase fluctuations, a major advance over previous theories. We gain new microscopic insights and make testable predictions for local spectroscopic probes. The energy gap in the density of states survives across the transition, but coherence peaks exist only in the superconductor. A characteristic pseudogap persists above the critical disorder and critical temperature, in contrast to conventional theories. Surprisingly, the insulator has a two-particle gap scale that vanishes at the SIT, despite a robust single-particle gap.

7 pages, 5 figures (plus supplement with 4 pages, 5 figures)

References in corpus (8)

• Visualizing pair formation on the atomic scale in the high-Tc superconductor Bi2Sr2CaCu2O8+d
• Localization of preformed Cooper-pairs in disordered superconductors
• Nature of the superconductor-insulator transition in disordered superconductors
• Disorder-Induced Inhomogeneities of the Superconducting State Close to the Superconductor-Insulator Transition
• Eigenfunction fractality and pseudogap state near superconductor-insulator transition
• Phase fluctuations in a strongly disordered s-wave superconductor close to the metal-insulator transition
• Quantum critical behaviour in the superfluid density of strongly underdoped ultrathin cuprate films
• Superconductor-insulator quantum phase transition

Cited by in corpus (135)

• Localization of preformed Cooper-pairs in disordered superconductors
• Theoretical Studies of Superconductor-Insulator Transitions
• The Higgs Mode in Disordered Superconductors Close to a Quantum Phase Transition
• Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor
• Emergence of coherence in the charge-density wave state of 2H-NbSe${}_2$
• Remarkable effects of disorder on superconductivity of single atomic layers of lead on silicon
• Quantum breakdown of superconductivity in low-dimensional materials
• Phase diagram of a strongly disordered s-wave superconductor, NbN, close to the metal-insulator transition
• Enhancement of superconductivity by Anderson localization
• Bose glass and Mott glass of quasiparticles in a doped quantum magnet
• Sign-Problem-Free Fermionic Quantum Monte Carlo: Developments and Applications
• Role of the vortex-core energy on the Beresinkii-Kosterlitz-Thouless transition in thin films of NbN
• A disorder-enhanced quasi-one-dimensional superconductor
• The density and disorder tuned superconductor-metal transition in two dimensions
• Emergence of nanoscale inhomogeneity in the superconducting state of a homogeneously disordered conventional superconductor, NbN
• Universal scaling of the order-parameter distribution in strongly disordered superconductors
• Enhancing Superconductivity by Disorder
• Non-relativistic dynamics of the amplitude (Higgs) mode in superconductors
• Disappearance of Nodal Gap across the Insulator-Superconductor Transition in a Copper-Oxide Superconductor
• Conventional superconductivity in quasicrystals
• Collective energy gap of preformed Cooper-pairs in disordered superconductors
• Scanning Josephson spectroscopy on the atomic scale
• Emergent Novel Metallic State in a Disordered 2D Mott Insulator
• A strongly inhomogeneous superfluid in an iron-based superconductor
• Robustness of the Berezinskii-Kosterlitz-Thouless Transition in Ultrathin NbN Films near the Superconductor-Insulator Transition
• Level statistics of disordered spin-1/2 systems and its implications for materials with localized Cooper pairs
• Pseudogaps in strongly interacting Fermi gases
• Superfluid density and phase relaxation in superconductors with strong disorder
• Phases and phase transitions in two dimensional superconducting films
• Superinsulator-Superconductor Duality in Two Dimensions
• Confinement of superconducting fluctuations due to emergent electronic inhomogeneities
• Direct evidence for Cooper pairing without a spectral gap in a disordered superconductor above $T_C$
• Non-linear $IV$ characteristics in two-dimensional superconductors: Berezinskii-Kosterlitz-Thouless physics vs inhomogeneity
• Optical excitation of phase modes in strongly disordered superconductors
• Spectroscopic evidence for strong correlations between local superconducting gap and local Altshuler-Aronov density-of-states suppression in ultrathin NbN films
• Superconductor-insulator transitions: Phase diagram and magnetoresistance
• Frequency dependent superfluid stiffness in the pseudogap regime in strongly disordered NbN thin films
• Dynamical Conductivity Across The Disorder-Tuned Superconductor-Insulator Transition
• Stripe-like nanoscale structural phase separation and optimal inhomogeneity in superconducting BaPb${}_{1-x}$Bi${}_x$O${}_3$
• Global critical temperature in inhomogeneous superconductors induced by multifractality
• Direct observation of the superconducting gap in thin film of titanium nitride using terahertz spectroscopy
• Puddle formation, persistent gaps, and non-mean-field breakdown of superconductivity in overdoped (Pb,Bi)2Sr2CuO6+δ
• Magnetic field induced emergent inhomogeneity in a superconducting film with weak and homogeneous disorder
• Modeling the pseudogap metallic state in cuprates: quantum disordered pair density wave
• Quantum phase transitions in two-dimensional superconductors: a review on recent experimental progress
• Superconductivity of disordered Dirac fermions in graphene
• Broadening of the Berezinskii-Kosterlitz-Thouless transition by correlated disorder
• On the application of Mattis-Bardeen theory in strongly disordered superconductors
• Preparation and Characterization of High-Entropy Alloy (TaNb)${}_{1-x}$(ZrHfTi)${}_x$ Superconducting Films
• High field termination of a Cooper-pair insulator
• Direct Observation of Fragmentation in a Disordered, Strongly Interacting Fermi Gas
• Collapse of the Cooper pair phase coherence length at a superconductor to insulator transition
• Destruction of superconductivity through phase fluctuations in ultrathin a-MoGe films
• Vortex phase diagram and the normal state of cuprates with charge and spin orders
• Superconductor-Insulator Transition and Fermi-Bose Crossovers
• Strain induced superconductor-insulator transition on Lieb lattice
• Local density of states and its mesoscopic fluctuations near the transition to a superconducting state in disordered systems
• Generalization of Anderson's Theorem for Disordered Superconductors
• Quantum criticality at the superconductor to insulator transition revealed by specific heat measurements
• Cold-spots and glassy nematicity in underdoped cuprates
• Universal behavior of the bosonic metallic ground state in a two-dimensional superconductor
• Slowing down of vortex motion in thin NbN films near the superconductor-insulator transition
• Emergent granularity and pseudogap near the superconductor-insulator transition
• Quantum criticality at the superconductor insulator transition probed by the Nernst effect
• Charge Density Wave and Superconductivity in the Disordered Holstein Model
• Disorder-induced suppression of superconductivity in the Si(111)-($\sqrt{7}\times \sqrt{3}$)-In surface: Scanning tunneling microscopy study
• Charge Dynamics Across the Disorder Driven Superconductor-Insulator Transition
• BKT universality class in the presence of correlated disorder
• Disorder effects in multiorbital $s_{\pm }$-wave superconductors: Implications for Zn-doped BaFe${}_2$As${}_2$ compounds
• Amplitude, density and current correlations of strongly disordered superconductors
• Disordered XY model: effective medium theory and beyond
• Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
• A real space auxiliary field approach to the BCS-BEC crossover
• Self-consistent-field ensembles of disordered Hamiltonians: Efficient solver and application to superconducting films
• Mitigating the fermion sign problem by automatic differentiation
• Quantum critical local spin dynamics near the Mott metal-insulator transition in infinite dimensions
• Superfluid-Insulator Transition unambiguously detected by entanglement in one-dimensional disordered superfluids
• Anderson localization of Cooper pairs and Majorana fermions in an ultracold atomic Fermi gas with synthetic spin-orbit coupling
• Two-particle spectral function for disordered s-wave superconductors: local maps and collective modes
• Hopping conductance and macroscopic quantum tunneling effect in three dimensional Pb${}_x$(SiO${}_2$)${}_{1-x}$ nanogranular films
• Disorder Influences the Quantum Critical Transport at a Superconductor to Insulator Transition
• Evidence for a two-fold symmetric superconducting gap in a monolayer of FeSe${}_{0.5}$Te${}_{0.5}$ on a topological insulator
• Characterization of collective excitations in weakly-coupled disordered superconductors
• Magnetic field induced transition from a vortex liquid to Bose metal in ultrathin a-MoGe thin film
• Excessive Noise as a Test for Many-Body Localization
• Overactivated transport in the localized phase of the superconductor-insulator transition
• Gapless inhomogeneous superfluid phase with spin-dependent disorder
• Specific Heat Signature of the Berezinskii-Kosterlitz-Thouless Transition in Ultrathin Superconducting Films
• Amplitude Fluctuations Driven by the Density of Electron Pairs within Nanosize Granular Structuters inside Strongly Disordered Superconductors: Evidence for a Shell-Like Effect
• Superconductivity in a disordered metal with Coulomb interactions
• Disorder in interacting quasi-one-dimensional systems: flat and dispersive bands
• Tunneling probe of fluctuating superconductivity in disordered thin films
• New paradigm for a disordered superconductor in a magnetic field
• Random telegraph fluctuations in granular microwave resonators
• Impurity effects on BCS-BEC crossover in ultracold atomic Fermi gases
• Position-dependent effect of non-magnetic impurities on superconducting properties of nanowires
• Strange metal state near quantum superconductor-metal transition in thin films
• Thermodynamics of the disordered Hubbard model studied via numerical linked-cluster expansions
• Superconducting fluctuations and charge-4$e$ plaquette state at strong coupling
• Enhancement of Superconductivity upon reduction of carrier density in proximitized graphene
• Superconducting-insulator transition in disordered Josephson junctions networks
• Quasiparticle Screening near a Bosonic Superconductor-Insulator Transition Revealed by Magnetic Impurity Doping
• Spatial BCS-BEC crossover in superconducting p-n junctions
• The impact of speckle disorder on a superfluid Fermi system
• Thermal effects on collective modes in disordered $s$-wave superconductors
• Effect of site dilution in the two-dimensional attractive Hubbard model
• Temperature-driven BCS-BEC crossover in a coupled boson-fermion system
• Mean-field theory of first-order quantum superconductor-insulator transition
• Little-Parks Oscillations in a Single Ring in the vicinity of the Superconductor-Insulator Transition
• Universal Voltage Fluctuations in Disordered Superconductors
• Temperature dependence and limiting mechanisms of the upper critical field of FeSe thin films
• Effect of the Anomalous Diffusion of Fluctuating Cooper Pairs in the Density of States of Superconducting NbN Thin Films
• Distribution of the order parameter in strongly disordered superconductors: An analytic theory
• Anderson Localization in Degenerate Spin-Orbit Coupled Fermi Gases with Disorder
• Quantum Coherence in Superconducting Vortex States
• Novel Emergent Phases in a Two-Dimensional Superconductor
• Site-disorder driven superconductor-insulator transition: A dynamical mean field study
• Ideal quantum geometry of the surface states of rhombohedral graphite and its effects on the surface superconductivity
• Aspects of Localization across the 2D Superconductor-Insulator Transition
• Cooper Pair Insulator phase induced in amorphous Pb${}_0.9$Bi${}_0.1$ thin films
• Local spectroscopies across the superconductor-insulator transition
• Fluctuations superconductivity and giant negative magnetoresistance in a gate voltage tuned 2D electron liquid with strong spin-orbit impurity scattering
• Persistence of vortexlike phase fluctuations in underdoped to heavily overdoped Bi-2201 cuprates
• In-situ scattering studies of superconducting vacancy-ordered monoclinic TiO thin films
• Inhomogeneous phase stiffness in two-dimensional $s$-wave disordered superconductors
• Field-Induced Boson Insulating States in a 2D Superconducting Electron Gas with Strong Spin-Orbit Scatterings
• Optical Lattice Emulators: Bose and Fermi Hubbard Models
• Multiple Quantum Phase Transitions at the superconducting LaTiO3/SrTiO3 interface
• The effect of Coulomb interactions on the disorder driven superconductor-insulator transition: THz versus tunneling spectroscopy
• Proximitized insulators from disordered superconductors
• Conductance Oscillations in a Topological Insulator-Disordered Superconductor Hybrid Interface
• Spectroscopic evidence of disorder-induced quantum phase transitions in monolayer Fe(Te,Se) superconductor
• Divergence of Dynamical Conductivity at Certain Percolative Superconductor-Insulator Transitions
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity
• Subgap two-particle spectral weight in disordered $s$-wave superconductors: Insights from mode coupling approach