Transport Through Quantum Melts

Abstract

We discuss superconductor to insulator and quantum Hall transitions which are first order in the clean limit. Disorder creates a nearly percolating network of the minority phase. Electrical transport is dominated by tunneling or activation through the saddle point junctions, whose typical resistance is calculated as a function of magnetic field. In the Boltzmann regime, this approach yields resistivity laws which agree with recent experiments in both classes of systems. We discuss the origin of dissipation at zero temperature.

4 pages, 1 figure

Cited by in corpus (98)

• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Highly crystalline 2D superconductors
• Colossal Effects in Transition Metal Oxides Caused by Intrinsic Inhomogeneities
• Nature of the Quantum Metal in a Two-Dimensional Crystalline Superconductor
• Metallic ground state in an ion-gated two-dimensional superconductor
• Inherent Inhomogeneities in Tunneling Spectra of BSCCO Crystals in the Superconducting State
• Dissipation effects on the superconductor-insulator transition in 2-D superconductors
• Superconductivity-Related Insulating Behavior
• The Elusive Bose Metal
• Plaquette Boson-Fermion Model of Cuprates
• Quantum coherence across bosonic superconductor-anomalous metal-insulator transitions
• Percolation-type description of the metal-insulator transition in two dimensions
• Thickness-Magnetic Field Phase Diagram at the Superconductor-Insulator Transition in 2D
• Two-dimensional Superconductors with Atomic-scale Thicknesses
• Unexpected Behavior of the Local Compressibility Near the B=0 Metal-Insulator Transition
• Gate-Induced Interfacial Superconductivity in 1T-SnSe2
• Effects of dissipation on quantum phase transitions
• Extreme Sensitivity of the Superconducting State in Thin Films
• Type-II Ising superconductivity and anomalous metallic state in macro-size ambient-stable ultrathin crystalline films
• The Bose Metal: gauge field fluctuations and scaling for field tuned quantum phase transitions
• Survival of superconducting correlations across the 2D superconductor-insulator transition: A finite frequency study
• True Superconductivity in a 2D "Superconducting-Insulating" System
• Particle-hole symmetry reveals failed superconductivity in the metallic phase of two-dimensional superconducting films
• Magnetic field-induced quantum superconductor-insulator transition in $N{b}_{0.15}S{i}_{0.85}$
• Magnetic-Field-Driven Superconductor-Insulator-Type Transition in Graphite
• Evidence of Collective Charge Behavior in the Insulating State of Ultrathin Films of Superconducting Metals
• Absence of a Zero Temperature Vortex Solid Phase in Strongly Disordered Superconducting Bi Films
• Absence of Scaling in the Integer Quantum Hall Effect
• Superinsulator-Superconductor Duality in Two Dimensions
• Superconductor-to-Metal Transitions in Dissipative Chains of Mesoscopic Grains and Nanowires
• Hydrodynamic theory of quantum fluctuating superconductivity
• Gated Tuned Superconductivity and Phonon Softening in Mono- and Bilayer MoS${}_2$
• Evidence for charge-vortex duality at the LaAlO${}_3$/SrTiO${}_3$ interface
• Superconductor-Insulator Transition in a Capacitively Coupled Dissipative Environment
• Anomalous proximity effect in an inhomogeneous disordered superconductor
• Hall Resistivity and Dephasing in the Quantum Hall Insulator
• Inhomogenous electronic structure, transport gap, and percolation threshold in disordered bilayer graphene
• Electrostatic- and Parallel Magnetic Field- Tuned Two Dimensional Superconductor-Insulator Transitions
• Extrinsic and Intrinsic Anomalous Metallic States in Transition Metal Dichalcogenide Ising Superconductors
• Transport in disordered monolayer molybdenum disulfide nanoflakes: evidence for inhomogeneous charge transport
• Quantum and classical ratchet motions of vortices in a 2D trigonal superconductor
• Quantum phase transitions in two-dimensional superconductors: a review on recent experimental progress
• Flux-charge duality and topological quantum phase fluctuations in quasi-one-dimensional superconductors
• Anomalous quantum metal in a 2D crystalline superconductor with intrinsic electronic non-uniformity
• Two-species percolation and Scaling theory of the metal-insulator transition in two dimensions
• Integer quantum Hall transition in the presence of a long-range-correlated quenched disorder
• Island formation in disordered superconducting thin films at finite magnetic fields
• A unifying model for several two-dimensional phase transitions
• Upper critical field and superconductor-metal transition in ultrathin niobium films
• Superconductor to weak-insulator transitions in disordered Tantalum Nitride films
• Disorder induced superconducting ratchet effect in nanowires
• Anomalous metals: from "failed superconductor" to "failed insulator"
• Vortex Tunneling and Transport Theory In Two-Dimensional Bose Condensates
• Quantum criticality at the superconductor insulator transition probed by the Nernst effect
• Vortex Flow and Transverse Flux Screening at the Bose Glass Transition
• Bose Metal as a Disruption of the Berezinskii-Kosterlitz-Thouless Transition in 2D Superconductors
• High-Temperature Anomalous Metal States in Iron-Based Interface Superconductors
• Superconductor-insulator transitions in three-dimensional indium-oxide at high pressures
• Effect of inhomogeneous coupling on superconductivity
• Quantum Hall Criticality, Superconductor-Insulator Transition and Quantum Percolation
• Robust anomalous metallic states and vestiges of self duality in two-dimensional granular In-InOx composites
• On the possibility of a metallic phase in granular superconducting films
• Superconductivity and Frozen Electronic States at the (111) LaAlO${}_3$/SrTiO${}_3$ Interface
• Spontaneous Layer Polarization and Conducting Domain Walls in the Quantum Hall Regime of Bilayer Graphene
• Can Short-Range Interactions Mediate a Bose Metal Phase in 2D?
• From insulator to quantum Hall liquid at low magnetic fields
• Possible robust insulator-superconductor transition on solid inert gas and other substrates
• Probing Landau quantisation with the presence of insulator-quantum Hall transition in a GaAs two-dimensional electron system
• Classical versus Quantum Transport near Quantum Hall Transitions
• From the zero-field metal-insulator transition in two dimensions to the quantum Hall transition: a percolation-effective-medium theory
• Enhancement of the superconductivity and quantum metallic state in the thin film of superconducting Kagome metal KV${}_3$Sb${}_5$
• Evidence of spatial inhomogeneity near the onset of magnetically induced insulating state in superconducting thin films
• Unveiling resilient superconducting fluctuations in atomically thin NbSe${}_2$ through Higgs mode spectroscopy
• Continuous and reversible tuning of the disorder-driven superconductor-insulator transition in bilayer graphene
• Tunneling probe of fluctuating superconductivity in disordered thin films
• Vortex excitations in the Insulating State of an Oxide Interface
• Crossover and scaling in a two-dimensional field-tuned superconductor
• Effect of external electromagnetic radiation on the anomalous metallic behaviors in Ta thin films
• Investigating superconductor-insulator transition in thin films using drag resistance:Theoretical analysis of a proposed experiment
• Signature of Cooper Pairs in the Non-Superconducting Phases of Amorphous Superconducting Tantalum Films
• Real-space renormalization-group approach to the integer quantum Hall effect
• Probing onset of strong localization and electron-electron interactions with the presence of direct insulator-quantum Hall transition
• Magnetoresistance Anisotropy in Amorphous Superconducting Thin Films: A Site-Bond Percolation Approach
• Preparation and properties of amorphous MgB${}_2$/MgO superstructures: A new model disordered superconductor
• Disorder and magnetic field induced Bose-metal state in two-dimensional Ta${}_x$(SiO${}_2$)${}_{1-x}$ granular films
• Josephson physics mediated by the Mott insulating phase
• Universal Voltage Fluctuations in Disordered Superconductors
• Vanishing Hall Conductance in the Phase Glass Bose Metal at Zero Temperature
• Theoretical Analysis of Drag Resistance in Amorphous Thin Films Exhibiting Superconductor-Insulator-Transition
• Numerical analysis of the magnetic-field-tuned superconductor-insulator transition in two dimensions
• Mobility edge scaling at semiclassical and dissipative Hall transitions
• Two-dimensional superconductivity in a thick exfoliated kagome film
• Magneto-transport Properties near the Superconductor-Insulator Transition in 2D
• Edge States on a Quantum Hall Liquid--Solid Interface
• Luttinger liquid behavior in tunneling through a quantum dot at zero magnetic field
• Magnetic field-dependent inhomogeneities and their effect on the magnetoresponse of 2D superconductors
• Critical Resistivity along the Quantum Hall Liquid--Insulator Transition Line
• Dual Universality and Unconventional Phase Diagram of a Clean 2D Superconductor with Tunable Disorders