Four-point vertex in the Hubbard model and partial bosonization

Abstract

Magnetic and superconducting instabilities in the two-dimensional t-t'-Hubbard model are discussed within a functional renormalization group approach. The fermionic four-point vertex is efficiently parametrized by means of partial bosonization. The exchange of composite bosons in the magnetic, charge density and superconducting channels accounts for the increase of the effective couplings with increasing length scale. We compute the pseudocritical temperature for the onset of local order in various channels.

11 pages, 14 figures, equivalent to published version

References in corpus (7)

• Exact evolution equation for the effective potential
• Exact flow equation for composite operators
• Renormalized mean-field analysis of antiferromagnetism and d-wave superconductivity in the two-dimensional Hubbard model
• Systematic analysis of a spin-susceptibility representation of the pairing interaction in the 2D Hubbard model
• Functional renormalization group for d-wave superconductivity in Hubbard type models
• Generation of d-wave coupling in the two-dimensional Hubbard model from functional renormalization
• The quantum critical behavior of antiferromagnetic itinerant systems with van Hove singularities of electronic spectrum

Cited by in corpus (26)

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• The nonperturbative functional renormalization group and its applications
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• Superconductivity in the two-dimensional $t$-$t^{\prime }$-Hubbard model
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• Single-boson exchange decomposition of the vertex function
• Competing order in correlated electron systems made simple: Consistent fusion of functional renormalization and mean-field theory
• Reexamination of the nonperturbative renormalization-group approach to the Kosterlitz-Thouless transition
• Boson-Exchange Parquet Solver for dual fermions
• Impact of partially bosonized collective fluctuations on electronic degrees of freedom
• Single boson exchange representation of the functional renormalization group for strongly interacting many-electron systems
• Fermion-boson vertex within Dynamical Mean-Field Theory
• Effective interactions and fluctuation effects in spin-singlet superfluids
• Parametrizations of local vertex corrections from weak to strong coupling: importance of the Hedin three-leg vertex
• Auxiliary field approach to dilute Bose gases with tunable interactions
• Scaling relations and multicritical phenomena from Functional Renormalization
• 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
• Low energy singularities in the ground state of fermionic superfluids
• Functional renormalization group for commensurate antiferromagnets: Beyond the mean-field picture
• Single-boson exchange functional renormalization group application to the two-dimensional Hubbard model at weak coupling
• Analytical limits for cold atom Bose gases with tunable interactions
• 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
• Functional renormalization with interaction flows: A single-boson exchange perspective and application to electron-phonon systems
• Competing instabilities of the extended Hubbard model on the triangular lattice: Truncated-unity functional renormalization group and application to moiré materials