Continuum dual theory of the transition in 3D lattice superconductor

Abstract

A recently proposed form of dual theory for the three dimensional superconductor is rederived starting from the lattice electrodynamics and studied by renormalization group. The superfluid density below and close to the transition vanishes as inverse of the correlation length of the disorder field. The corresponding universal amplitude is given by the fixed point value of the dual charge, and it is calculated to the leading order. The continuum dual theory predicts the divergence of the magnetic field penetration depth with the XY exponent, in contradiction to the results obtained from the Ginzburg-Landau theory for the superconducting order-parameter. Possible reasons for this difference are discussed.

7 pages, LaTeX, to appear in Journal of Physics A

References in corpus (5)

• Critical fluctuations in superconductors and the magnetic field penetration depth
• Phase Diagram of Superconductors from Non-Perturbative Flow Equations
• Critical Exponents of the Superconducting Phase Transition
• Low-Magnetic Field Critical Behavior in Strongly Type-II Superconductors
• A Candidate for Exact Continuum Dual Theory for Scalar QED${}_3$

Cited by in corpus (31)

• Theory of interacting electrons on the honeycomb lattice
• QED3 theory of underdoped high temperature superconductors
• Dual gauge field theory of quantum liquid crystals in two dimensions
• Dual gauge field theory of quantum liquid crystals in three dimensions
• Anomalous scaling dimensions and stable charged fixed-point of type-II superconductors
• Thermodynamics of Gauge-Invariant U(1) Vortices from Lattice Monte Carlo Simulations
• Masses and Phase Structure in the Ginzburg-Landau Model
• Critical Behavior of the Meissner Transition in the Lattice London Superconductor
• Effective theory of high-temperature superconductors
• The effect of velocity anisotropy on the antiferromagnetic instability of a d-wave superconductor
• Dual theory of the superfluid-Bose glass transition in disordered Bose-Hubbard model in one and two dimensions
• Dynamical universality classes of the superconducting phase transition
• Dual superfluid-Bose glass critical point in two dimensions and the universal conductivity
• Critical behavior at superconductor-insulator phase transitions near one dimension
• Scaling critical behavior of superconductors at zero magnetic field
• Critical properties of the topological Ginzburg-Landau model
• Duality and scaling in 3-dimensional scalar electrodynamics
• Implications evinced by the phase diagram, anisotropy, magnetic penetration depths, isotope effects and conductivities of cuprate superconductors
• Anomalous dimensions and phase transitions in superconductors
• Evidence for charged critical behavior in the pyrochlore superconductor RbOs2O6
• Effect of order-parameter fluctuations on the Halperin-Lubensky-Ma first-order transition in superconductors and liquid crystals
• Theory of spin response in underdoped cuprates as strongly fluctuating d-wave superconductors
• Frozen deconfined quantum criticality
• Deconfined quantum criticality driven by Dirac fermions in SU(2) antiferromagnets
• A note on the phase transition in a topologically massive Ginzburg-Landau theory
• Critical dynamics, duality, and the exact dynamic exponent in extreme type II superconductors
• Gauge dependenceof the order parameter anomalous dimension in the Ginzburg-Landau model and the critical fluctuations in superconductors
• Critical behaviour of the Ginzburg-Landau model in the type II region
• QED_3 theory of underdoped high temperature superconductors II: the quantum critical point
• Screening in anisotropic superfluids and the superfluid density in underdoped cuprates
• Magnetic field induced finite size effect in type-II superconductors