Quasi-particle functional Renormalisation Group calculations in the two-dimensional half-filled Hubbard model at finite temperatures

Abstract

We present a highly parallelisable scheme for treating functional Renormalisation Group equations which incorporates a quasi-particle-based feedback on the flow and provides direct access to real-frequency self-energy data. This allows to map out the boundaries of Fermi-liquid regimes and to study the effect of quasi-particle degradation near Fermi liquid instabilities. As a first application, selected results for the two-dimensional half-filled perfectly nested Hubbard model are shown.

References in corpus (43)

• Exact evolution equation for the effective potential
• Functional renormalization group approach to correlated fermion systems
• Discovery of Orbital-Selective Cooper Pairing in FeSe
• Non-perturbative many-body approach to the Hubbard model and single-particle pseudogap
• Renormalization group analysis of the 2D Hubbard model
• Functional renormalization group and variational Monte Carlo studies of the electronic instabilities in graphene near 1/4 doping
• Truncation of a 2-dimensional Fermi surface due to quasiparticle gap formation at the saddle points
• Functional Renormalization Group for multi-orbital Fermi Surface Instabilities
• Efficient Parametrization of the Vertex Function, $\Omega$-Scheme, and the (t,t')-Hubbard Model at Van Hove Filling
• High-resolution photoemission on Sr2RuO4 reveals correlation-enhanced effective spin-orbit coupling and dominantly local self-energies
• On the fulfillment of Ward identities in the functional renormalization group approach
• Excitation spectra and rf-response near the polaron-to-molecule transition from the functional renormalization group
• Orbital selective pairing and gap structures of iron-based superconductors
• Absence of a Slater Transition in The Two-Dimensional Hubbard Model
• Nonequilibrium functional RG with frequency dependent vertex function: A study of the single impurity Anderson model
• The Superconducting Instabilities of the non half-filled Hubbard Model in Two Dimensions
• Extended crossover from Fermi liquid to quasi-antiferromagnet in the half-filled 2D Hubbard model
• High-performance functional renormalization group calculations for interacting fermions
• Renormalized mean-field analysis of antiferromagnetism and d-wave superconductivity in the two-dimensional Hubbard model
• Incipient antiferromagnetism and low-energy excitations in the half-filled two-dimensional Hubbard model
• Interaction flow method for many-fermion systems
• Quasiparticle anisotropy and pseudogap formation from the weak-coupling renormalization group point of view
• Pseudogap at hot spots in the two-dimensional Hubbard model at weak coupling
• Electron-doping versus hole-doping in the 2D t-t' Hubbard model
• Self-energy flows in the two-dimensional repulsive Hubbard model
• Truncated Unity Parquet Solver
• Flow of the quasiparticle weight in the N-patch renormalization group scheme
• Spin-triplet $f$-wave pairing in twisted bilayer graphene near 1/4 filling
• Analytic continuation of functional renormalization group equations
• Effective action and density functional theory
• Quantitative functional renormalization-group description of the two-dimensional Hubbard model
• On the limitations of cRPA downfolding
• Multiloop functional renormalization group for the two-dimensional Hubbard model: Loop convergence of the response functions
• Non-separable frequency dependence of two-particle vertex in interacting fermion systems
• Momentum-dependent pseudogaps in the half-filled two-dimensional Hubbard model
• Self-energy feedback and frequency-dependent interactions in the functional renormalization group flow for the two-dimensional Hubbard model
• Anomalous self-energy and Fermi surface quasi-splitting in the vicinity of a ferromagnetic instability
• Pseudogap opening in the two-dimensional Hubbard model: A functional renormalization group analysis
• Singularities and Pseudogaps in the Density of States of Peierls Chains
• Spin fluctuations in the 0.7-anomaly in quantum point contacts
• Truncated unity functional renormalization group for multiband systems with spin-orbit coupling
• Deformation of Fermi Surface Due to Antiferromagnetic Correlation
• Hierarchical Parallelisation of Functional Renormalisation Group Calculations -- hp-fRG

Cited by in corpus (5)

• Tracking the Footprints of Spin Fluctuations: A MultiMethod, MultiMessenger Study of the Two-Dimensional Hubbard Model
• Charge fluctuations, hydrodynamics and transport in the square-lattice Hubbard model
• Comparing scattering rates from Boltzmann and dynamical mean-field theory
• Quasi-particle functional Renormalisation Group calculations in the two-dimensional t-t'-Hubbard model
• Broadening and sharpening of the Drude peak through antiferromagnetic fluctuations