Functional renormalization group for d-wave superconductivity in Hubbard type models

Abstract

The temperature dependence of d-wave superconducting order for two dimensional fermions with d-wave attraction is investigated by means of the functional renormalization group with partial bosonization. Below the critical temperature T_c we find superconductivity, a gap in the electron propagator and a temperature dependent anomalous dimension. At T_c the renormalized "superfluid density" jumps and the approach to T_c from above is characterized by essential scaling. These features are characteristic for a phase transition of the Kosterlitz-Thouless (KT) type.

5 pages, 4 figures, references added, discussion improved

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Cited by in corpus (21)

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• Functional renormalization for quantum phase transitions with non-relativistic bosons
• Renormalization group flow for fermionic superfluids at zero temperature
• Three-body scattering from nonperturbative flow equations
• Superfluid Bose gas in two dimensions
• Single boson exchange representation of the functional renormalization group for strongly interacting many-electron systems
• Nonperturbative renormalization group treatment of amplitude fluctuations for $|\phi {|}^4$ topological phase transitions
• Four-point vertex in the Hubbard model and partial bosonization
• Parametrizations of local vertex corrections from weak to strong coupling: importance of the Hedin three-leg vertex
• Thermodynamics of the two-dimensional XY model from functional renormalization
• Nonperturbative renormalization-group approach to fermion systems in the two-particle-irreducible effective action formalism
• Generation of d-wave coupling in the two-dimensional Hubbard model from functional renormalization
• Partial bosonisation for the two-dimensional Hubbard model: How well does it work?
• Non-perturbative renormalization-group approach to lattice models
• Kosterlitz-Thouless signatures in the low-temperature phase of layered three-dimensional systems
• Incommensurate antiferromagnetic fluctuations in the two-dimensional Hubbard model
• Single-boson exchange functional renormalization group application to the two-dimensional Hubbard model at weak coupling
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory