Zero-temperature d-wave superconducting phase transition

Abstract

The Ginzburg-Landau-Wilson theory that describes the disordered Fermi liquid - d-wave superconductor phase transition at zero temperature is derived at weak coupling. The theory represents an interacting dissipative system of bosonic Cooper pairs in an effective random potential. I show that there exists a wide crossover regime in the theory controlled by a line of Gaussian fixed points, each of which in two dimensions is characterized by a different universal value of the dc critical conductivity. Relation to experiments on overdoped and underdoped cuprates is discussed.

RevTex, 4 pages, 2 ps figs, published version

References in corpus (1)

• Critical exponents at the superconductor-insulator transition in dirty-boson systems

Cited by in corpus (30)

• QED3 theory of underdoped high temperature superconductors
• Theory of quantum metal to superconductor transitions in highly conducting systems
• Universal conductance of nanowires near the superconductor-metal quantum transition
• Superconductor-to-Metal Quantum Phase Transition in Overdoped $L{a}_{2-x}S{r}_{x}Cu{O}_4$
• Microscopic analysis of the superconducting quantum critical point: Finite temperature crossovers in transport near a pair-breaking quantum phase transition
• Infinite randomness fixed point of the superconductor-metal quantum phase transition
• Lifshitz as a deformation of Anti-de Sitter
• Interaction-induced Bose Metal in 2D
• Dynamical conductivity at the dirty superconductor-metal quantum phase transition
• Nonlinear Transport Near a Quantum Phase Transition in Two Dimensions
• Universal properties of cuprate superconductors
• Universal thermal and electrical transport near the superconductor-metal quantum phase transition in nanowires
• Theory of the pairbreaking superconductor-metal transition in nanowires
• Thermoelectric transport near pair breaking quantum phase transition out of d-wave superconductivity
• Pair-breaking quantum phase transition in superconducting nanowires
• Effect of weak disorder on the phase competition in iron pnictides
• Implications evinced by the phase diagram, anisotropy, magnetic penetration depths, isotope effects and conductivities of cuprate superconductors
• Competition between anisotropy and superconductivity in organic and cuprate superconductors
• Time reversal symmetry breaking and $d$-wave superconductivity of triple-point fermions
• Quantum fluctuations, pseudogap, and the T=0 superfluid density in strongly correlated d-wave superconductors
• Transport Properties near the z=2 Insulator-Superconductor Transition
• Order parameter symmetry and mode coupling effects at dirty superconducting quantum phase transitions
• p-wave superconductivity in Luttinger semimetals
• Hall Conductivity near the z=2 Superconductor-Insulator Transition in 2D
• p-wave superconductivity and the axi-planar phase of triple-point fermions
• Magneto-transport Properties near the Superconductor-Insulator Transition in 2D
• Transport anomalies in multiband superconductors near quantum critical point
• Superconducting zero temperature phase transition in two dimensions and in the magnetic field
• Monte Carlo simulations of a disordered superconductor-metal quantum phase transition
• Phases of three-dimensional $d$-wave superconductors with two attractive interactions