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Using a functional renormalization group method, we obtain the phase diagram of the two-leg ladder system within the Holstein-Hubbard model, which includes both electron-electron and electron-phonon interactions. Our renormalization group…

Strongly Correlated Electrons · Physics 2007-10-30 Ka-Ming Tam , S. -W. Tsai , D. K. Campbell , A. H. Castro Neto

We study the effects of phonons in $N$-leg Hubbard ladders within the framework of a one-loop renormalization group. In particular, we explicitly demonstrate that the role of phonons changes {\em qualitatively} even in the simplest two-leg…

Strongly Correlated Electrons · Physics 2009-11-10 Alexander Seidel , Hsiu-Hau Lin , Dung-Hai Lee

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

A new strategy is presented for systematically treating super-leading logarithmic contributions including higher-order Glauber exchanges for non-global LHC observables in renormalization-group (RG) improved perturbation theory. This…

High Energy Physics - Phenomenology · Physics 2024-08-09 Philipp Böer , Patrick Hager , Matthias Neubert , Michel Stillger , Xiaofeng Xu

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

We derive two-loop renormalization-group equations for the half-filled one-dimensional Hubbard chains coupled by the interchain hopping. Our renormalization-group scheme for the quasi-one-dimensional electron system is a natural extension…

Strongly Correlated Electrons · Physics 2007-05-23 M. Tsuchiizu

We carry out a complete analytical stability study for the SO(8) symmetric phases in the weakly-interacting two-leg ladder. It is shown that the SO(8) symmetry is robust under generic perturbations. Since there are no fixed points in the…

Strongly Correlated Electrons · Physics 2007-05-23 Hsiu-Hau Lin

Motivated by the discovery of superconductivity in the two-leg, quasi-one dimensional ladder compound, BaFe$_2$S$_3$ we present a renormalization group study of electrons moving on a two leg, two orbital ladder, subjected to Hubbard…

Superconductivity · Physics 2018-12-05 Elio J. König , Alexei M. Tsvelik , Piers Coleman

A renormalization group theory for a system consisting of coupled superconducting layers as a model for typical high-temperature superconducters is developed. In a first step the electromagnetic interaction over infinitely many layers is…

supr-con · Physics 2009-10-28 Carsten Timm

We studied the correlated quasi-one-dimensional systems by one-loop renormalization group techniques in weak coupling. In contrast to conventional g-ology approach, we formulate the theory in terms of bilinear currents and obtain all…

Strongly Correlated Electrons · Physics 2009-11-11 Ming-Shyang Chang , Wei Chen , Hsiu-Hau Lin

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

In this paper the building blocks for the two-loop renormalization of the Standard Model are introduced with a comprehensive discussion of the special vertices induced in the Lagrangian by a particular diagonalization of the neutral sector…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. Actis , A. Ferroglia , G. Passarino , M. Passera

The phase diagram of the one-dimensional extended Hubbard model at half-filling is investigated by a weak coupling renormalization group method applicable beyond the usual continuum limit for the electron spectrum and coupling constants. We…

Strongly Correlated Electrons · Physics 2011-04-04 M. Ménard , C. Bourbonnais

We calculate the phase diagram of a ladder system, with a Hubbard interaction and an interchain coupling $t_\perp$. We use a Renormalization Group method, in a one loop expansion, introducing an original method to include $k_{||}$…

Strongly Correlated Electrons · Physics 2007-05-23 G. Abramovici , J. C. Nickel , M. Heritier

We review some aspects of the renormalization group method for interacting fermions. Special emphasis is placed on the application of scaling theory to quasi-one-dimensional systems at non zero temperature. We begin by introducing the…

Strongly Correlated Electrons · Physics 2007-05-23 C. Bourbonnais , B. Guay , R. Wortis

We consider a one-dimensional system of interacting bosons in a random potential. At zero temperature, it can be either in the superfluid or in the insulating phase. We study the transition at weak disorder and moderate interaction. Using a…

The renormalization group is used to resum leading logarithmic contributions of the form alpha_s^{n+1} beta_0^n log^n (Delta/mu) to the gap equation appropriate for high density QCD. The scale dependence of the strong coupling constant…

Nuclear Theory · Physics 2009-11-06 Silas R. Beane , Paulo F. Bedaque , Martin J. Savage

We investigate the critical behavior that d-dimensional systems with short-range forces and a n-component order parameter exhibit at Lifshitz points whose wave-vector instability occurs in a m-dimensional isotropic subspace of ${\mathbb…

Statistical Mechanics · Physics 2009-11-07 M. Shpot , H. W. Diehl

A mechanism of the quasi-one-dimensional (q1d) superconductivity is investigated by applying the renormalization group techniques to the pairing interaction. With the obtained renormalized pairing interaction, the transition temperature Tc…

Strongly Correlated Electrons · Physics 2009-11-10 Y. Fuseya , H. Kohno , K. Miyake

The scaling properties of self-avoiding polymerized 2-dimensional membranes are studied via renormalization group methods based on a multilocal operator product expansion. The renormalization group functions are calculated to second order.…

Condensed Matter · Physics 2009-10-28 Kay Joerg Wiese , Francois David
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