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At strong on-site repulsion $ U $, the fermionic Hubbard model realizes an extremely correlated electron system. In this regime, it is natural to derive the low-energy physics with the help of non-canonical operators acting on a projected…

强关联电子 · 物理学 2026-04-27 Jonas Arnold , Peter Kopietz , Andreas Rückriegel

Renormalization group analysis for multi-band many-electron systems at half-filling at positive temperature is presented. The analysis includes the Matsubara ultra-violet integration and the infrared integration around the zero set of the…

数学物理 · 物理学 2015-09-01 Yohei Kashima

We consider quantum electrodynamics with chiral four-Fermi interactions in the functional renormalization group approach. In gauge theories, the functional flow equation for the effective action is accompanied by the quantum master equation…

高能物理 - 理论 · 物理学 2026-01-14 Yoshio Echigo , Yuji Igarashi , Katsumi Itoh , Jan M. Pawlowski , Yu Takahashi

The two-dimensional (2D) Hubbard model has long attracted interest for its rich phase diagram and its relevance to high-$T_c$ superconductivity. However, reliable finite-temperature studies remain challenging due to the exponential…

强关联电子 · 物理学 2025-10-30 Changkai Zhang , Jan von Delft

We calculate the renormalized parameters for the quasiparticles and their interactions for the Hubbard model in the paramagnetic phase as deduced from the low energy Fermi liquid fixed point using the results of a numerical renormalization…

强关联电子 · 物理学 2016-12-07 A. C. Hewson

We prove that the weak coupling 2D Hubbard model away from half filling is a Landau Fermi liquid up to exponentially small temperatures. In particular we show that the wave function renormalization is an order 1 constant and essentially…

强关联电子 · 物理学 2011-10-18 G. Benfatto , A. Giuliani , V. Mastropietro

A formalism based on the fermionic functional-renormalization-group approach to interacting electron models defined on a lattice is presented. One-loop flow equations for the coupling constants and susceptibilities in the particle-particle…

强关联电子 · 物理学 2024-08-21 Lucas Désoppi , Nicolas Dupuis , Claude Bourbonnais

We study the thermodynamics of the one-dimensional extended Hubbard model at half-filling using a density-matrix renormalization group method applied to transfer matrices. We show that the various phase transitions in this system can be…

强关联电子 · 物理学 2007-11-04 S. Glocke , A. Klümper , J. Sirker

Partial bosonisation of the two-dimensional Hubbard model focuses the functional renormalisation flow on channels in which interactions become strong and local order sets in. We compare the momentum structure of the four-fermion vertex,…

强关联电子 · 物理学 2020-04-15 Tobias Denz , Mario Mitter , Jan M. Pawlowski , Christof Wetterich , Masatoshi Yamada

The functional renormalization group (fRG) approach has the property that, in general, the flow equation for the two-particle vertex generates $\mathcal{O}(N^4)$ independent variables, where $N$ is the number of interacting states (e.g.…

强关联电子 · 物理学 2014-01-24 Florian Bauer , Jan Heyder , Jan von Delft

The spectra of the t-U and t-t'-U Hubbard models are investigated in the one-loop approximation for different values of the electron filling. It is shown that the four-band structure which is inherent in the case of half-filling and low…

强关联电子 · 物理学 2007-05-23 A. Sherman

We extend the analysis of the renormalization group flow in the two-dimensional Hubbard model close to half-filling using the recently developed temperature flow formalism. We investigate the interplay of d-density wave and Fermi surface…

强关联电子 · 物理学 2009-11-07 C. Honerkamp , M. Salmhofer , T. M. Rice

Renormalization group methods can be applied to the nuclear many-body problem using the approach proposed by Shankar. We start with the two-body low momentum interaction V_{low k} and use the RG flow from the particle-hole channels to…

核理论 · 物理学 2008-11-26 Achim Schwenk , Bengt Friman , Gerald E. Brown

A formalism for electronic-structure calculations is presented that is based on the functional renormalization group (FRG). The traditional FRG has been formulated for systems that exhibit a translational symmetry with an associated Fermi…

材料科学 · 物理学 2016-10-12 Christian Seiler , Ferdinand Evers

We study the anisotropic two-dimensional Hubbard model at and near half filling within a functional renormalization group method, focusing on the structure of momentum-dependent correlations which grow strongly upon approaching a critical…

强关联电子 · 物理学 2007-05-23 D. Rohe , A. Georges

We study the phase diagram of the half-filled one-dimensional extended Hubbard model at weak coupling using a novel functional renormalization group (FRG) approach. The FRG method includes in a systematic manner the effects of the…

强关联电子 · 物理学 2007-05-23 Ka-Ming Tam , Shan-Wen Tsai , David K. Campbell

We analyze the properties of the quasiparticle excitations of metallic antiferromagnetic states in a strongly correlated electron system. The study is based on dynamical mean field theory (DMFT) for the infinite dimensional Hubbard model…

强关联电子 · 物理学 2009-11-13 J. Bauer , A. C. Hewson

We analyze the interaction-induced renormalization of single-particle excitations in the two-dimensional Hubbard model at weak coupling using the Wick-ordered version of the functional renormalization group. The self energy is computed for…

强关联电子 · 物理学 2007-05-23 Daniel Rohe , Walter Metzner

Commensurate and incommensurate antiferromagnetic fluctuations in the two-dimensional repulsive t-t'-Hubbard model are investigated using functional renormalization group equations. For a sufficient deviation from half filling we establish…

强关联电子 · 物理学 2013-05-29 H. C. Krahl , S. Friederich , C. Wetterich

For the linear sigma model with quarks we derive renormalization group flow equations for finite temperature and finite baryon density using the heat kernel cutoff. At zero temperature we evolve the effective potential to the Fermi momentum…

核理论 · 物理学 2009-10-31 J. Meyer , G. Papp , H. -J. Pirner , T. Kunihiro