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We try to review the main current ideas and points of view on the running coupling constant in QCD. We begin by recalling briefly the classic analysis based on the Renormalization Group with some emphasis on the exact solutions of the RG…

High Energy Physics - Phenomenology · Physics 2008-11-26 G. M. Prosperi , M. Raciti , C. Simolo

In this study, we explore the impact of short-range antiferromagnetic correlations on the charge density wave (CDW) phase in strongly correlated electron systems exhibiting the pseudogap phenomenon. Our investigation employs a n-pole…

Strongly Correlated Electrons · Physics 2024-11-27 Leonardo Prauchner , Eleonir Calegari , Julian Faundez , Sergio Magalhaes

We study the delocalization effect of a short-range repulsive interaction on the ground state of a finite density of spinless fermions in strongly disordered one dimensional lattices. The density matrix renormalization group method is used…

Strongly Correlated Electrons · Physics 2009-10-31 Dietmar Weinmann , Peter Schmitteckert , Rodolfo A. Jalabert , Jean-Louis Pichard

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

We argue that massless Dirac particles in two spatial dimensions with $1/r$ Coulomb repulsion and quenched random gauge field are described by a manifold of fixed points which can be accessed perturbatively in disorder and interaction…

Mesoscale and Nanoscale Physics · Physics 2008-02-01 Oskar Vafek , Matthew J. Case

When confined to two dimensions and exposed to a strong magnetic field, electrons screen the Coulomb interaction in a topological fashion; they capture and even number of quantum vortices and transform into particl es called `composite…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Vito W. Scarola , Kwon Park , J. K. Jain

Lifshitz transitions in two 2D systems with a single quadratic band touching point as the chemical potential is varied have been studied here. The effects of interactions have been studied using the renormalization group (RG) and it is…

Strongly Correlated Electrons · Physics 2021-05-19 Jeet Shah , Subroto Mukerjee

Using renormalization group techniques, we study spectral and transport properties of a spinless interacting quantum dot consisting of two levels coupled to metallic reservoirs. For strong Coulomb repulsion $U$ and an applied Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Daniel Boese , Walter Hofstetter , Herbert Schoeller

Long-range interactions can qualitatively reorganize correlated-electron ground states. In the square-lattice Hubbard model, on-site repulsion produces antiferromagnetic spin and charge stripes upon doping. We show that including a…

Strongly Correlated Electrons · Physics 2026-03-16 Chunhan Feng , Miguel A. Morales , Shiwei Zhang

Inspired by the superblock method of White, we introduce a simple modification of the standard Renormalization Group (RG) technique for the study of quantum lattice systems. Our method which takes into account the effect of Boundary…

Statistical Mechanics · Physics 2009-10-28 A. Langari , V. Karimipour

The conserved Kardar-Parisi-Zhang equation in the presence of long-range nonlinear interactions is studied by the dynamic renormalization group method. The long-range effect produces new fixed points with continuously varying exponents and…

Statistical Mechanics · Physics 2009-10-31 Youngkyun Jung , In-mook Kim , Jin Min Kim

In this paper we present a novel approach combining linear response theory (Kubo) for the conductance and the Density Matrix Renormalization Group (DMRG). The system considered is one-dimensional and consists of non-interacting tight…

Strongly Correlated Electrons · Physics 2007-05-23 Dan Bohr , Peter Schmitteckert , Peter Woelfle

We apply the diagram-technique formalism beyond the Hartree-Fock approximation to a two-dimensional nearly ideal electron gas in a weak perpendicular magnetic field. The case of an almost completely filled upper Landau level (filling factor…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Alexei Kolesnikov

A Wilsonian renormalization group approach is applied, in order to include effects of the higher Landau levels for quarks into a set of renormalized parameters for the lowest Landau level (LLL), plus a set of operators made of the LLL…

High Energy Physics - Phenomenology · Physics 2013-11-04 Toru Kojo , Nan Su

We analyse the energy spectra of Dirac fermions in the presence of rotation and magnetic field. We find that the Landau degeneracy is resolved by rotation. A drastic change in the energy dispersion relation leads to the "rotational magnetic…

High Energy Physics - Phenomenology · Physics 2016-06-01 Hao-Lei Chen , Kenji Fukushima , Xu-Guang Huang , Kazuya Mameda

The spatial behavior of Landau levels (LLs) for the $nu=1$ quantum Hall regime at the edge of a wide channel is studied in a self-consistent way by using a generalized local density approximation proposed here. Both exchange interaction and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 O. G. Balev , Nelson Studart

We determine for the first time the renormalization-group (RG) evolution equation for the $B$-meson soft function dictating the non-perturbative strong interaction dynamics of the long-distance penguin contributions to the exclusive $b \to…

High Energy Physics - Phenomenology · Physics 2023-12-27 Yong-Kang Huang , Yao Ji , Yue-Long Shen , Chao Wang , Yu-Ming Wang , Xue-Chen Zhao

The numerical renormalization group is used to study quantum entanglement in the Kondo impurity model with a pseudogapped density of states $\rho(\varepsilon)\propto|\varepsilon|^r$ ($r>0$) that vanishes at the Fermi energy $\varepsilon=0$.…

Strongly Correlated Electrons · Physics 2018-10-10 Christopher Wagner , Tathagata Chowdhury , J. H. Pixley , Kevin Ingersent

We investigate the effect of the Coulomb interaction, $U_{cf}$, between the conduction and f electrons in the periodic Anderson model using the density-matrix renormalization-group algorithm. We calculate the excitation spectrum of the…

Strongly Correlated Electrons · Physics 2014-09-26 I. Hagymasi , J. Solyom , O. Legeza

We consider systems of non-relativistic, interacting electrons at finite density and zero temperature in d = 2, 3, ... dimensions. Our main concern is to characterize those systems that, under the renormalization flow, are driven away from…

Condensed Matter · Physics 2007-05-23 Juerg Froehlich , Roland Goetschmann