Vortex Glass is a Metal: Unified Theory of the Magnetic Field and Disorder-Tuned Bose Metals

Abstract

We consider the disordered quantum rotor model in the presence of a magnetic field. We analyze the transport properties in the vicinity of the multicritical point between the superconductor, phase glass and paramagnetic phases. We find that the magnetic field leaves metallic transport of bosons in the glassy phase in tact. In the vicinity of the vicinity of the superconductivity-to-Bose metal transition, the resistitivy turns on as $(H-H_c{)}^2$ with $H_c$. This functional form is in excellent agreement with the experimentally observed turn-on of the resistivity in the metallic state in MoGe, namely $R\approx R_c(H-H_c{)}^{\mu }$, $1<\mu <3$. The metallic state is also shown to presist in three spatial dimensions. In addition, we also show that the metallic state remains intact in the presence of Ohmic dissipation in spite of recent claims to the contrary. As the phase glass in $d=3$ is identical to the vortex glass, we conclude that the vortex glass is, in actuality, a metal rather than a superconductor at T=0. Our analysis unifies the recent experiments on vortex glass systems in which the linear resistivity remained non-zero below the putative vortex glass transition and the experiments on thin films in which a metallic phase has been observed to disrupt the direct transition from a superconductor to an insulator.

arXiv commentPublished version with an appendix showing that the claim in cond-mat/0510380 (and cond-mat/0606522) that Ohmic dissipation in the phase glass leads to a superconducting state is false. A metal persists in this case as well

References in corpus (17)

• Non-zero temperature transport near quantum critical points
• Dissipation effects on the superconductor-insulator transition in 2-D superconductors
• The Elusive Bose Metal
• Landau theory of quantum spin glasses of rotors and Ising spins
• A Solvable Spin-Glass of Quantum Rotors
• Superconductivity in the insulating phase above the field-tuned superconductor-insulator transition in disordered indium oxide films
• Effects of dissipation on quantum phase transitions
• Vortices and quasiparticles near the "superconductor-insulator" transition in thin films
• A Phase Glass is a Bose Metal: New Conducting State in 2D
• Vortices Freeze like Window Glass: the Vortex Molasses Scenario
• Is there a vortex-glass transition in high-temperature superconductors?
• New Universality Class at the Superconductor--Insulator Transition
• Fluctuation Conductivity in Insulator-Superconductor Transitions with Dissipation
• Landau theory of the Fermi-liquid to electron glass transition
• Landau theory of bi-criticality in a random quantum rotor system
• Absence of Phase Stiffness in the Quantum Rotor Phase Glass
• Magneto-transport Properties near the Superconductor-Insulator Transition in 2D

Cited by in corpus (19)

• Resistance in Superconductors
• Anomalous quantum metal in a 2D crystalline superconductor with intrinsic electronic non-uniformity
• Island formation in disordered superconducting thin films at finite magnetic fields
• Minimal Model for Disorder-induced Missing Moment of Inertia in Solid ${}^4$He
• Bose Metal as a Disruption of the Berezinskii-Kosterlitz-Thouless Transition in 2D Superconductors
• Conductivity of strongly correlated bosons in optical lattices in an Abelian synthetic magnetic field
• Structure and dynamics of a pinned vortex liquid in superconducting a-Re_xZr (x ~ 6) thin film
• Magnetic field induced transition from a vortex liquid to Bose metal in ultrathin a-MoGe thin film
• Signature of Cooper Pairs in the Non-Superconducting Phases of Amorphous Superconducting Tantalum Films
• Investigating superconductor-insulator transition in thin films using drag resistance:Theoretical analysis of a proposed experiment
• The Berezinskii-Kosterlitz-Thouless Transition and Anomalous Metallic Phase in a Hybrid Josephson Junction Array
• How magnetic field can transform a superconductor into a Bose metal
• Disorder and magnetic field induced Bose-metal state in two-dimensional Ta${}_x$(SiO${}_2$)${}_{1-x}$ granular films
• Superconducting transition in disordered granular superconductors in magnetic fields
• Conductivity in glass phases of disordered granular superconductors in magnetic fields
• 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
• Disorder-induced superconductor to insulator transition and finite phase stiffness in two-dimensional phase-glass models
• Not Just a Phase: Bose Metal Unveiled