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The perturbation expansion for a general class of many-fermion systems with a non-nested, non-spherical Fermi surface is renormalized to all orders. In the limit as the infrared cutoff is removed, the counterterms converge to a finite limit…

Condensed Matter · Physics 2009-10-28 Joel Feldman , Manfred Salmhofer , Eugene Trubowitz

We present a systematic stability analysis for the two-dimensional Hubbard model, which is based on a new renormalization group method for interacting Fermi systems. The flow of effective interactions and susceptibilities confirms the…

Strongly Correlated Electrons · Physics 2009-10-31 Christoph J. Halboth , Walter Metzner

We calculate the interaction-induced deformation of the Fermi surface in the two-dimensional Hubbard model within second order perturbation theory. Close to half-filling, interactions enhance anisotropies of the Fermi surface, but they…

Strongly Correlated Electrons · Physics 2009-10-28 Christoph J. Halboth , Walter Metzner

We study the correlation-induced deformation of Fermi surfaces by means of a new diagrammatic method which allows for the analytical evaluation of Gutzwiller wave functions in finite dimensions. In agreement with renormalization-group…

Strongly Correlated Electrons · Physics 2015-05-30 Jörg Bünemann , Tobias Schickling , Florian Gebhard

The underlying Fermi surface is a key concept for strongly-interacting electron models and has been introduced to generalize the usual notion of the Fermi surface to generic (superconducting or insulating) systems. By using improved…

Strongly Correlated Electrons · Physics 2013-05-30 Luca F. Tocchio , Federico Becca , Claudius Gros

Interplay of Pomeranchuk instability (spontaneous symmetry breaking of the Fermi surface) and d-wave superconductivity is studied for the repulsive Hubbard model on the square lattice with the dynamical mean field theory combined with the…

Superconductivity · Physics 2017-02-08 Motoharu Kitatani , Naoto Tsuji , Hideo Aoki

We present a general formalism that allows for the computation of large-order renormalized expansions in the spacetime representation, effectively doubling the numerically attainable perturbation order of renormalized Feynman diagrams. We…

Strongly Correlated Electrons · Physics 2020-11-12 Riccardo Rossi , Fedor Simkovic , Michel Ferrero

We consider serious conceptual problems with the application of standard perturbation theory, in its zero temperature version, to the computation of the dressed Fermi surface for an interacting electronic system. In order to overcome these…

Strongly Correlated Electrons · Physics 2007-05-23 S. Dusuel , B. Doucot

We study non conventional superconductivity on a ladder, improving the predictions of the Hubbard model. The determination of the Fermi surface, in 2 or 3 dimensions, remains a very hard task, but it is exactly solvable for a single ladder.…

Strongly Correlated Electrons · Physics 2016-08-14 Gilles Abramovici , Michel Héritier

We investigate the competing Fermi surface instabilities in the Kagome tight-binding model. Specifically, we consider onsite and short-range Hubbard interactions in the vicinity of van Hove filling of the dispersive Kagome bands where the…

Strongly Correlated Electrons · Physics 2013-03-27 Maximilian L. Kiesel , Christian Platt , Ronny Thomale

We present an extension to the two-dimensional functional renormalization group to efficiently treat interactions on the surface or at interfaces of three-dimensional systems. As an application, we consider a semi-infinite stack of…

Strongly Correlated Electrons · Physics 2026-04-10 Lennart Klebl , Dante M. Kennes

We analyze the competition between antiferromagnetism and superconductivity in the two-dimensional Hubbard model by combining a functional renormalization group flow with a mean-field theory for spontaneous symmetry breaking. Effective…

Strongly Correlated Electrons · Physics 2007-08-23 J. Reiss , D. Rohe , W. Metzner

A precursor effect on the Fermi surface in the two-dimensional Hubbard model at finite temperatures near the antiferromagnetic instability is studied using three different itinerant approaches: the second order perturbation theory, the…

Strongly Correlated Electrons · Physics 2009-09-25 Taiichiro Saikawa , Alvaro Ferraz

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…

Strongly Correlated Electrons · Physics 2011-10-18 G. Benfatto , A. Giuliani , V. Mastropietro

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…

Strongly Correlated Electrons · Physics 2009-11-07 C. Honerkamp , M. Salmhofer , T. M. Rice

We apply the self-consistent renormalized perturbation theory to the Hubbard model on the square lattice, at finite temperatures in order to study the evolution of the Fermi-surface (FS) as a function of temperature and doping. Previously,…

Strongly Correlated Electrons · Physics 2018-12-07 Sergey Slizovskiy , Pablo Rodriguez-Lopez , Joseph J. Betouras

Salmhofer [Commun. Math. Phys. 194, 249 (1998)] has recently developed a new renormalization group method for interacting Fermi systems, where the complete flow from the bare action of a microscopic model to the effective low-energy action,…

Strongly Correlated Electrons · Physics 2009-10-31 Christoph J. Halboth , Walter Metzner

Fermi gases and liquids display an excitation spectrum that is simply connected, ensuring closed Fermi surfaces. In strongly correlated systems like the cuprate superconductors, the existence of open sheets of Fermi surface known as Fermi…

Strongly Correlated Electrons · Physics 2023-01-12 Johan Carlström

We use exact diagonalization to determine the spectrum of reduced Hamiltonians based on renormalization group flows to strong coupling. For the half-filled two-leg Hubbard ladder we reproduce the known insulating d-Mott groundstate with…

Strongly Correlated Electrons · Physics 2007-05-23 A. Laeuchli , C. Honerkamp , T. M. Rice

The deformation of the Fermi surface induced by Coulomb interactions is investigated in the t-t'-Hubbard model. The interplay of the local U and extended V interactions is analyzed. It is found that exchange interactions V enhance small…

Strongly Correlated Electrons · Physics 2009-10-31 Belen Valenzuela , Maria A. H. Vozmediano
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