On the existence of a Bose Metal at T=0

Abstract

This paper aims to justify, at a microscopic level, the existence of a two-dimensional Bose metal, i.e. a metallic phase made out of Cooper pairs at T=0. To this end, we consider the physics of quantum phase fluctuations in (granular) superconductors in the absence of disorder and emphasise the role of two order parameters in the problem, viz. phase order and charge order. We focus on the 2-d Bose Hubbard model in the limit of very large fillings, i.e. a 2-d array of Josephson junctions. We find that the algebra of phase fluctuations is that of the Euclidean group $E_2$ in this limit, and show that the model is equivalent to two coupled XY models in (2+1)-d, one corresponding to the phase degrees of freedom, and the other the charge degrees of freedom. The Bose metal, then, is the phase in which both these degrees of freedom are disordered(as a result of quantum frustration). We analyse the model in terms of its topological excitations and suggest that there is a strong indication that this state represents a surface of critical points, akin to the gapless spin liquid states. We find a remarkable consistency of this scenario with certain low-T_c thin film experiments.

16 pages, 2 figures

References in corpus (2)

• The Metallic-Like Conductivity of a Two-Dimensional Hole System
• Superconductivity in a two-dimensional Electron Gas

Cited by in corpus (86)

• Quantum phases of dipolar bosons in optical lattices
• Highly crystalline 2D superconductors
• Quantum Phase Transitions and Vortex Dynamics in Superconducting Networks
• The one-dimensional Bose-Hubbard Model with nearest-neighbor interaction
• Nature of the Quantum Metal in a Two-Dimensional Crystalline Superconductor
• Anomalous metals -- failed superconductors
• Nature of the quantum phase transitions in the two-dimensional hardcore boson model
• The Elusive Bose Metal
• Quantum coherence across bosonic superconductor-anomalous metal-insulator transitions
• Two-dimensional Superconductors with Atomic-scale Thicknesses
• Effects of dissipation on quantum phase transitions
• Cluster Monte Carlo Algorithm for the Quantum Rotor Model
• Extreme Sensitivity of the Superconducting State in Thin Films
• The Bose Metal: gauge field fluctuations and scaling for field tuned quantum phase transitions
• True Superconductivity in a 2D "Superconducting-Insulating" System
• A Phase Glass is a Bose Metal: New Conducting State in 2D
• Particle-hole symmetry reveals failed superconductivity in the metallic phase of two-dimensional superconducting films
• Evidence of Collective Charge Behavior in the Insulating State of Ultrathin Films of Superconducting Metals
• Supermetal
• Two-dimensional Holstein-Hubbard model: Critical temperature, Ising universality, and bipolaron liquid
• Superconductor-to-Metal Transitions in Dissipative Chains of Mesoscopic Grains and Nanowires
• Anomalous proximity effect in an inhomogeneous disordered superconductor
• 2D superconductivity and vortex dynamics in 1T-MoS2
• Composite fermions and the field-tuned superconductor-insulator transition
• Microwave Spectroscopy Evidence of Superconducting Pairing in the Magnetic-Field-Induced Metallic State of InO${}_x$ Films at Zero Temperature
• Quantum phase transitions in two-dimensional superconductors: a review on recent experimental progress
• Interaction-induced Bose Metal in 2D
• Bosonic topological insulator intermediate state in the superconductor-insulator transition
• Infinite-randomness fixed point of the quantum superconductor-metal transitions in amorphous thin films
• Bose-Luttinger Liquids
• Separating pairing from quantum phase coherence dynamics above the superconducting transition by femtosecond spectroscopy
• Anomalous quantum metal in a 2D crystalline superconductor with intrinsic electronic non-uniformity
• Resonating valence bond wave function for the two dimensional fractional spin liquid
• Thickness-tuned Superconductor-to-Insulator Transitions under magnetic field in a-NbSi
• Metallic state in bosonic systems with continuously degenerate minima
• Granular Superconductor in a honeycomb lattice as a realization of Bosonic Dirac Material
• Accuracy of quantum simulators with ultracold dipolar molecules: a quantitative comparison between continuum and lattice descriptions
• Three-dimensional Josephson-junction arrays in the quantum regime
• Hot Electron Effects in the 2D Superconductor-Insulator Transition
• Destruction of diagonal and off-diagonal long range order by disorder in two-dimensional hard core boson systems
• Superconductor-insulator transition driven by local dephasing
• SU(2) gauge theory of the Hubbard model: Emergence of an anomalous metallic phase near the Mott critical point
• The Generic, Incommensurate Transition in the two-dimensional Boson Hubbard Model
• Anomalous Quantum Diffusion at the Superfluid-Insulator Transition
• Absence of cyclotron resonance in the anomalous metallic phase in InO${}_x$
• Anomalous Parallel Field Negative Magnetoresistance in Ultrathin Films Near the Superconductor-Insulator Transition
• Geometric frustration produces long-sought Bose metal phase of quantum matter
• Magnetothermal Conductivity of Highly Oriented Pyrolytic Graphite in the Quantum Limit
• Topological Nature of High Temperature Superconductivity
• Phase diagram of the Cairo pentagonal XXZ spin-1/2 magnet under a magnetic field
• High-Temperature Anomalous Metal States in Iron-Based Interface Superconductors
• The superconductor-insulator transition in absence of disorder
• Critical currents and vortex-unbinding transitions in quench-condensed ultrathin films of Bismuth and Tin
• On the possibility of a metallic phase in granular superconducting films
• Condensate-free superfluidity induced by frustrated proximity effect
• Can Short-Range Interactions Mediate a Bose Metal Phase in 2D?
• Granulated superconductors:from the nonlinear sigma model to the Bose-Hubbard description
• Infinite critical boson non-Fermi liquid
• Ground state properties of charge and magnetically frustrated two--dimensional quantum Josephson--junction arrays
• Reentrant Superfluidity and Pair Density Wave in Single Component Dipolar Fermi Gases
• Realizing multiband states with ultracold dipolar quantum simulators
• AC Measurement of the Nernst effect of thin films at low temperatures
• Crossover and scaling in a two-dimensional field-tuned superconductor
• Unveiling resilient superconducting fluctuations in atomically thin NbSe${}_2$ through Higgs mode spectroscopy
• New paradigm for a disordered superconductor in a magnetic field
• Origin of Topological Order in a Cooper Pair Insulator
• Algebraic equivalence between certain models for superfluid--insulator transition
• Competing supersolids of Bose-Bose mixtures in a triangular lattice
• Disorder and magnetic field induced Bose-metal state in two-dimensional Ta${}_x$(SiO${}_2$)${}_{1-x}$ granular films
• Towards A Possible Charge-Kondo effect in Optical Lattices
• Vortex Variable Range Hopping in a Conventional Superconducting Film
• The low-energy theory for the Bose-Hubbard model and the normal ground state of bosons
• Excess noise in the anomalous metallic phase in amorphous indium oxide
• Disorder-induced superconductor to insulator transition and finite phase stiffness in two-dimensional phase-glass models
• Quantum critical phenomena of long-range interacting bosons in a time-dependent random potential
• Infinite critical boson non-Fermi liquid on heterostructure interfaces
• Bosons in fluctuating gauge fields: Bose metal and phase separation
• Lattice models for non-Fermi liquid metals
• Transient vortex dynamics and evolution of Bose metal from a 2D superconductor on MoS${}_2$
• Characteristic length scales and formation of vortices in the Abelian Higgs model in the presence of a uniform background charge
• Unique quantum metallic state in the titanium sesquioxide heterointerface superconductor
• Two types of superconducting pairs in stripe-ordered La${}_{2-x}$Ba${}_x$CuO${}_4$ ($x=1/8$): evidence from the resistivity measurements
• Spin-size disorder model for granular superconductors with charging effects
• Superconducting phase transitions in disordered NbTiN films
• Zero temperature superconductor - edge metal - insulator transition in $2D$ bosonic systems
• Dual Universality and Unconventional Phase Diagram of a Clean 2D Superconductor with Tunable Disorders