Generation of d-wave coupling in the two-dimensional Hubbard model from functional renormalization

Abstract

Within the two-dimensional repulsive t-t'-Hubbard model, an attractive coupling in the d-wave pairing channel is induced by antiferromagnetic fluctuations. We investigate this coupling using functional renormalization group equations. The momentum dependent d-wave coupling can be bosonized by the use of scale dependent field transformations. We propose an effective coarse grained model for the Hubbard model which is based on the exchange of antiferromagnetic and d-wave collective bosons.

11 pages, 13 figures, equivalent to published version

References in corpus (31)

• Correlated Electrons in High Temperature Superconductors
• Exact evolution equation for the effective potential
• Non-Perturbative Renormalization Flow in Quantum Field Theory and Statistical Physics
• Aspects of the Functional Renormalisation Group
• Optimised Renormalisation Group Flows
• Optimisation of the exact renormalisation group
• d-wave superconductivity and Pomeranchuk instability in the two-dimensional Hubbard model
• Renormalization group analysis of the 2D Hubbard model
• Systematic study of d-wave superconductivity in the 2D repulsive Hubbard model
• Renormalization Flow of Bound States
• Pairing due to Spin Fluctuations in Layered Organic Superconductors
• Pairing Correlations in the Two-Dimensional Hubbard Model
• Ferromagnetism in the two dimensional t-t' Hubbard model at the Van Hove density
• Magnetic and superconducting instabilities of the Hubbard model at the van Hove filling
• Does Simple Two-Dimensional Hubbard Model Account for High-Tc Superconductivity in Copper Oxides?
• Weakly correlated electrons on a square lattice: a renormalization group theory
• Temperature dependence of antiferromagnetic order in the Hubbard model
• Renormalized mean-field analysis of antiferromagnetism and d-wave superconductivity in the two-dimensional Hubbard model
• Renormalization group analysis of magnetic and superconducting instabilities near van Hove band fillings
• Flow Equations without Mean Field Ambiguity
• Flow of the quasiparticle weight in the N-patch renormalization group scheme
• Flow to strong coupling in the two-dimensional Hubbard model
• Angle-Resolved Loss of Landau Quasiparticles in 2D Hubbard Model
• Magnetic and pair correlations of the Hubbard model with next-nearest-neighbor hopping
• Weak ferromagnetism and other instabilities of the two-dimensional t-t' Hubbard model at Van Hove fillings
• Antiferromagnetic gap in the Hubbard model
• Functional renormalization group for d-wave superconductivity in Hubbard type models
• Ferromagnetism in the t-t' Hubbard model: interplay of lattice, band dispersion, and interaction effects studied within a Goldstone-mode preserving scheme
• Spontaneous symmetry breaking in the colored Hubbard model
• Magnetic and superconducting correlations in the two-dimensional Hubbard model
• U-J Synergy Effect for the High Tc Superconductors

Cited by in corpus (17)

• Functional renormalization group approach to correlated fermion systems
• The nonperturbative functional renormalization group and its applications
• Efficient Parametrization of the Vertex Function, $\Omega$-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling
• Functional renormalization for spontaneous symmetry breaking in the Hubbard model
• Coexistence of Two Sharp-Mode Couplings and Their Unusual Momentum Dependence in the Superconducting State of Bi2Sr2CaCu2O8+d Superconductor Revealed by Laser-Based Angle-Resolved Photoemission
• Phase transition and critical behavior of d=3 chiral fermion models with left/right asymmetry
• Effective interactions and fluctuation effects in spin-singlet superfluids
• Four-point vertex in the Hubbard model and partial bosonization
• Nonperturbative renormalization-group approach to fermion systems in the two-particle-irreducible effective action formalism
• Partial bosonisation for the two-dimensional Hubbard model: How well does it work?
• Accessing the ordered phase of correlated Fermi systems: vertex bosonization and mean-field theory within the functional renormalization group
• Functional renormalization group for commensurate antiferromagnets: Beyond the mean-field picture
• Incommensurate antiferromagnetic fluctuations in the two-dimensional Hubbard model
• Renormalization group flow for fermions into antiferromagnetically ordered phases: Method and mean-field models
• Consistent combination of truncated-unity functional renormalization group and mean-field theory
• 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
• Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials