Anomalous scaling dimensions and stable charged fixed-point of type-II superconductors

Abstract

The critical properties of a type-II superconductor model are investigated using a dual vortex representation. Computing the propagators of gauge field $\vec{A}$ and dual gauge field $\vec{h}$ in terms of a vortex correlation function, we obtain the values ${\eta }_A=1$ and ${\eta }_h=1$ for their anomalous dimensions. This provides support for a dual description of the Ginzburg-Landau theory of type-II superconductors in the continuum limit, as well as for the existence of a stable charged fixed point of the theory, not in the 3DXY universality class.

Accepted for publication in Phys. Rev. Lett

Cited by in corpus (49)

• Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
• Topological defects as relics of emergent continuous symmetry and Higgs condensation of disorder in ferroelectrics
• Dual gauge field theory of quantum liquid crystals in two dimensions
• Field- and temperature induced topological phase transitions in the three-dimensional $N$-component London superconductor
• The order of the metal to superconductor transition
• Phase transitions in a three dimensional $U(1)\times U(1)$ lattice London superconductor: Metallic superfluid and charge-4e superconducting states
• Dual gauge field theory of quantum liquid crystals in three dimensions
• Deconfinement transition in three-dimensional compact U(1) gauge theories coupled to matter fields
• Duality in 2+1D Quantum Elasticity: superconductivity and Quantum Nematic Order
• Quantum Confinement Transition in a d-wave Superconductor
• Phase Structure of d=2+1 Compact Lattice Gauge Theories and the Transition from Mott Insulator to Fractionalized Insulator
• Kosterlitz-Thouless-like deconfinement mechanism in the 2+1 dimensional Abelian Higgs model
• Criticality in the 2+1-dimensional compact Higgs model and fractionalized insulators
• Quantum electrodynamics in 2+1 dimensions, confinement, and the stability of U(1) spin liquids
• Effect of short-range interactions on the quantum critical behavior of spinless fermions on the honeycomb lattice
• Critical properties of the N-color London model
• Observing the fluctuating stripes in high Tc superconductors
• Hausdorff dimension of critical fluctuations in abelian gauge theories
• Numerical study of duality and universality in a frozen superconductor
• Preemptive vortex-loop proliferation in multicomponent interacting Bose--Einstein condensates
• Charged fixed point in the Ginzburg-Landau superconductor and the role of the Ginzburg parameter $\kappa$
• Condensing Nielsen-Olesen strings and the vortex-boson duality in 3+1 and higher dimensions
• The emergence of gauge invariance: the stay-at-home gauge versus local-global duality
• Duality and scaling in 3-dimensional scalar electrodynamics
• Deconfined quantum criticality of the O(3) nonlinear $\sigma$ model in two spacial dimensions: A renormalization group study
• Line of continuous phase transitions in a three dimensional U(1) model with 1/r^2 current-current interactions
• Implications evinced by the phase diagram, anisotropy, magnetic penetration depths, isotope effects and conductivities of cuprate superconductors
• The quantum smectic as a dislocation Higgs phase
• Critical behavior of Ginzburg-Landau model coupled to massless Dirac fermions
• Methods to determine the Hausdorff dimension of vortex loops in the three-dimensional XY model
• Anomalous dimensions and phase transitions in superconductors
• Phases and phase transitions in a $U(1)\times U(1)$ system with $\theta =2\pi /3$ mutual statistics
• Evidence for charged critical behavior in the pyrochlore superconductor RbOs2O6
• Vortex duality: watching the dual side with order propagators
• Three-dimensional Abelian and non-Abelian gauge Higgs theories
• Monte Carlo Study of a $U(1)\times U(1)$ Loop Model with Modular Invariance
• Deconfinement transitions in three-dimensional compact lattice Abelian Higgs models with multiple-charge scalar fields
• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
• Critical exponent η_ϕof the Lattice London Superconductor and vortex loops in the 3D XY model
• Critical dynamics, duality, and the exact dynamic exponent in extreme type II superconductors
• Current-loops, phase transitions, and the Higgs mechanism in Josephson-coupled multi-component superconductors
• Bosonization duality in 2+1 dimensions and critical current correlation functions in Chern-Simons $U(1)\times U(1)$ Abelian Higgs model
• Type-II Bose-Mott insulators
• Hydrodynamics of liquids of arbitrarily curved flux-lines and vortex loops
• Magnetic field induced 3D to 1D crossover in type II superconductors
• Strong-coupling critical behavior in three-dimensional lattice Abelian gauge models with charged $N$-component scalar fields and $SO(N)$ symmetry
• Self-Duality in Superconductor-Insulator Quantum Phase Transitions
• The inverted XY universality of the superconductivity phase transition
• Magnetic field induced finite size effect in type-II superconductors