Superconductor-insulator transitions: Phase diagram and magnetoresistance

Abstract

Influence of disorder-induced Anderson localization and of electron-electron interaction on superconductivity in two-dimensional systems is explored. We determine the superconducting transition temperature $T_c$, the temperature dependence of the resistivity, the phase diagram, as well as the magnetoresistance. The analysis is based on the renormalization group (RG) for a nonlinear sigma model. Derived RG equations are valid to the lowest order in disorder but for arbitrary electron-electron interaction strength in particle-hole and Cooper channels. Systems with preserved and broken spin-rotational symmetry are considered, both with short-range and with long-range (Coulomb) interaction. In the cases of short-range interaction, we identify parameter regions where the superconductivity is enhanced by localization effects. Our RG analysis indicates that the superconductor-insulator transition is controlled by a fixed point with a resistivity $R_c$ of the order of the quantum resistance $R_q=h/4e^2$. When a transverse magnetic field is applied, we find a strong nonmonotonous magnetoresistance for temperatures below $T_c$.

34 pages, 20 figures

References in corpus (14)

• Electric Field Control of the LaAlO${}_3$/SrTiO${}_3$ Interface Ground State
• Localization of preformed Cooper-pairs 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
• Localized Superconductivity in the Quantum-Critical Region of the Disorder-Driven Superconductor-Insulator Transition in TiN Thin Films
• Phase fluctuations in a strongly disordered s-wave superconductor close to the metal-insulator transition
• Magnetically Induced Metallic Phase in Superconducting Tantalum Films
• Half-integer quantum Hall effect of disordered Dirac fermions at a topological insulator surface
• Superconductivity of disordered Dirac fermions in graphene
• Fluctuation conductivity in disordered superconducting films
• Disordered d-wave superconductors with interactions
• Multifractality and electron-electron interaction at Anderson transitions
• Strong Suppression of Coherence Effect and Appearance of Pseudogap in Layered Nitride Superconductor Li_xZrNCl: ^91Zr- and ^15N- NMR Studies
• Quantum-fluctuation effects in transport properties of superconductors above the paramagnetic limit

Cited by in corpus (40)

• Quantum breakdown of superconductivity in low-dimensional materials
• Disorder induced multifractal superconductivity in monolayer niobium dichalcogenides
• Enhancing Superconductivity by Disorder
• Berezinskii-Kosterlitz-Thouless transition in homogeneously disordered superconducting films
• Response theory of the ergodic many-body delocalized phase: Keldysh Finkel'stein sigma models and the 10-fold way
• Superconductor-Insulator Transition in disordered Josephson junction chains
• 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
• Disorder and interaction in chiral chains: Majoranas vs complex fermions
• Tuning Superinductors by Quantum Coherence Effects for Enhancing Quantum Computing
• Glass-induced enhancement of superconducting $T_c$: Pairing via dissipative mediators
• Self-consistent-field ensembles of disordered Hamiltonians: Efficient solver and application to superconducting films
• Criticality Across the Energy Spectrum from Random, Artificial Gravitational Lensing in Two-Dimensional Dirac Superconductors
• Enhanced Amplitude for Superconductivity due to Spectrum-wide Wave Function Criticality in Quasiperiodic and Power-law Random Hopping Models
• Mesoscopic fluctuations of the single-particle Green's function at Anderson transitions with Coulomb interaction
• Quantum corrections to the magnetoconductivity of surface states in three-dimensional topological insulators
• Hopping conductance and macroscopic quantum tunneling effect in three dimensional Pb${}_x$(SiO${}_2$)${}_{1-x}$ nanogranular films
• Superconductivity suppression in disordered films: Interplay of two-dimensional diffusion and three-dimensional ballistics
• Multifractally-enhanced superconductivity in two-dimensional systems with spin-orbit coupling
• Interplay of superconductivity and localization near a 2D ferromagnetic quantum critical point
• Scale-dependent theory of the disordered electron liquid
• Generalized surface multifractality in 2D disordered systems
• Vortex excitations in the Insulating State of an Oxide Interface
• Generalized multifractality in the spin quantum Hall symmetry class with interaction
• Ultrasonic attenuation in a pseudogapped superconductor
• New paradigm for a disordered superconductor in a magnetic field
• Local density of state fluctuations in 2D superconductor as a probe of quantum diffusion
• Resistance of 2D superconducting films
• Cooper pairs localization in tree-like networks of superconducting islands
• Magnetic disorder in superconductors: Enhancement by mesoscopic fluctuations
• Enhancement of Superconductivity in a Dirty Marginal Fermi Liquid
• Mesoscopic fluctuations of the local density of states in interacting electron systems
• Beta-functions of non-linear $\sigma$-models for disordered and interacting electron systems
• Boundary multifractality in the spin quantum Hall symmetry class with interaction
• How spectrum-wide quantum criticality protects surface states of topological superconductors from Anderson localization: Quantum Hall plateau transitions (almost) all the way down
• Quantum Fluctuations and Multifractally-Enhanced Superconductivity in Disordered Thin Films
• Low-temperature spin Coulomb drag in a two-dimensional electron gas
• Superconducting phase transitions in disordered NbTiN films
• Superconducting Diode Effect in Weak Localization Regime
• Multifractal correlations of the local density of states in dirty superconducting films