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The problem of weakly correlated electrons on a square lattice is studied theoretically. A simple renormalization group scheme for the angle-resolved weight Z of the quasiparticles at the Fermi surface is presented and applied to the…

Strongly Correlated Electrons · Physics 2009-11-07 D. Zanchi

We present the numerical solution of the renormalization group (RG) equations derived in Ref. [1], for the problem of superconductivity in the presence of both electron-electron and electron-phonon coupling at zero temperature. We study the…

Superconductivity · Physics 2007-10-30 S. -W. Tsai , A. H. Castro Neto , R. Shankar , D. K. Campbell

Renormalization group calculations are used to give exact solutions for rigidity percolation on hierarchical lattices. Algebraic scaling transformations for a simple example in two dimensions produce a transition of second order, with an…

Statistical Mechanics · Physics 2011-07-26 R. B. Stinchcombe , M. F Thorpe

A model with d-wave pairing symmetry is studied by employing a non-perturbative sum rule approach. At low temperature the magnitude of a normal state pseudogap shows strong $\vec{k}$ or angle dependence well fitted by $\cos 2\phi$ form.…

Strongly Correlated Electrons · Physics 2009-10-31 Bumsoo Kyung

We formulate the exact Wilsonian renormalization group for a system of interacting fermions on a lattice. The flow equations for all vertices of the Wilson effective action are expressed in form of the Polchinski equation. We apply this…

Strongly Correlated Electrons · Physics 2007-05-23 D. Zanchi , H. J. Schulz

We use the renormalization group method to study the normal state of quasi-one-dimensional superconductors nearby a spin-density-wave instability. On the basis of one-loop scattering amplitudes for the quasi-one-dimensional electron gas,…

Strongly Correlated Electrons · Physics 2012-08-27 A. Sedeki , D. Bergeron , and C. Bourbonnais

The problem of weakly correlated electrons on a square lattice is formulated in terms of one-loop renormalization group. Starting from the action for the entire Brillouin zone (and not with a low-energy effective action) we reduce…

Condensed Matter · Physics 2009-10-28 D. Zanchi , H. J. Schulz

We analyze the interplay of antiferromagnetism and pairing in the two dimensional Hubbard model with a moderate repulsive interaction. Coupled charge, magnetic and pairing fluctuations above the energy scale of spontaneous symmetry breaking…

Strongly Correlated Electrons · Physics 2021-01-04 Demetrio Vilardi , Pietro M. Bonetti , Walter Metzner

For an electron gas with a $ \delta $-function attraction we investigate the crossover from weak-coupling to strong-coupling superconductivity as well as normal state near the temperature $T^*$, at which the strong coupling produces a…

Condensed Matter · Physics 2007-05-23 E. Babaev , H. Kleinert

A model of interacting two dimensional electrons near a Van Hove singularity is studied, using renormalization group techniques. In hole doped systems, the chemical potential is found to be pinned near the singularity, when the…

Condensed Matter · Physics 2016-08-31 J. Gonzalez , F. Guinea , M. A. H. Vozmediano

In this paper, we review some of the work our group has done in the past few years to obtain the electron self-energy of high temperature superconductors by analysis of angle-resolved photoemission data. We focus on three examples which…

Superconductivity · Physics 2009-10-30 M. R. Norman , H. Ding , M. Randeria , J. C. Campuzano

The problem of the symmetry of the superconducting pairing and the form of the gap function in the electron-doped superconductors is reconsidered within the temperature-cutoff functional renormalization group approach combined with the…

Strongly Correlated Electrons · Physics 2009-11-11 A. A. Katanin

The anisotropic superconductivity and the density wave have been investigated by applying the Kadanoff-Wilson renormalization group technique to the quasi-one-dimensional system with finite-range interactions. It is found that a temperature…

Strongly Correlated Electrons · Physics 2009-11-10 Y. Fuseya , Y. Suzumura

We study the quantum corrections to the Fermi energy of a two-dimensional electron system, showing that it is attracted towards the Van Hove singularity for a certain range of doping levels. The scaling of the Fermi level allows to cure the…

Strongly Correlated Electrons · Physics 2009-11-07 J. Gonzalez

We present a general method to study weak-coupling instabilities of a large class of interacting electron models in a controlled and unbiased way. Quite generally, the electron gas is unstable towards a superconducting state even in the…

Strongly Correlated Electrons · Physics 2009-11-10 B. Binz , D. Baeriswyl , B. Doucot

We present a well-controlled perturbative renormalization group (RG) treatment of superconductivity from short-ranged repulsive interactions in a variety of model two dimensional electronic systems. Our analysis applies in the limit where…

Superconductivity · Physics 2015-05-20 S. Raghu , S. A. Kivelson

We employ the weak-coupling renormalization group approach to study unconventional superconducting phases emerging in the extended, repulsive Hubbard model on paradigmatic two-dimensional lattices. Repulsive interactions usually lead to…

Superconductivity · Physics 2019-01-10 Sebastian Wolf , Thomas L. Schmidt , Stephan Rachel

Using the one-loop functional renormalization group technique we evaluate the self-energy in the weak-coupling regime of the 2D t-t' Hubbard model. At van Hove (vH) band fillings and at low temperatures the quasiparticle weight along the…

Strongly Correlated Electrons · Physics 2009-11-10 A. A. Katanin , A. P. Kampf

The critical behavior of charge-density waves (CDWs) in the pinned phase is studied for applied fields increasing toward the threshold field, using recently developed renormalization group techniques and simulations of automaton models.…

Condensed Matter · Physics 2009-10-22 O. Narayan , A. Alan Middleton

A theory for the phenomena observed in Copper-Oxide based high temperature superconducting materials derives an elusive time-reversal and rotational symmetry breaking order parameter for the observed pseudogap phase ending at a…

Condensed Matter · Physics 2009-10-31 C. M. Varma
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