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The edge states in the fractional quantum Hall systems at filling factor $\nu=1/3$ are studied by the density matrix renormalization group method. It is shown that the density oscillation induced by the local boundary condition at the edge…

Strongly Correlated Electrons · Physics 2021-03-30 Takuya Ito , Naokazu Shibata

When immersed in a see of cold electrons, local impurities give rise to density modulations known as Friedel oscillations. In spite of the generality of this phenomenon, the exact shape of these modulations is usually computed only for…

Strongly Correlated Electrons · Physics 2016-05-12 Emanuele G. Dalla Torre , David Benjamin , Yang He , David Dentelski , Eugene Demler

We study the spin and charge phase diagram of a three-legs ladder (at zero temperature) as a function of fermion density and of transverse single-particle hopping by means of a Renormalization-Group analysis rigorously controlled in the…

Condensed Matter · Physics 2009-10-28 Enrico Arrigoni

We study analytically the dynamics of two-dimensional rectangular lattices with periodic boundary conditions. We consider anisotropic initial data supported on one low-frequency Fourier mode. We show that, in the continuous approximation,…

Dynamical Systems · Mathematics 2021-04-23 Matteo Gallone , Stefano Pasquali

We study two Heisenberg spin-1/2 chains coupled by a frustrating ``zigzag'' interaction. We are particularly interested in the regime of weak interchain coupling, which is difficult to analyse by either numerical or analytical methods.…

Strongly Correlated Electrons · Physics 2009-10-31 A. A. Aligia , C. D. Batista , F. H. L. Essler

The one-dimensional (1D) $t-J$ model is investigated using the density matrix renormalization group (DMRG) method. We report for the first time a generalization of the DMRG method to the case of arbitrary band filling and prove a theorem…

Condensed Matter · Physics 2009-10-28 Liang Chen , S. Moukouri

The structures of the liquid surface and the liquid-solid interface of sodium have been characterized with extensive first-principles molecular dynamics simulations. Friedel oscillations in the electronic charge density at the free surface…

Materials Science · Physics 2007-05-23 Brent G. Walker , Nicola Marzari , Carla Molteni

We consider chains with an optical phonon spectrum and study the reduced density matrices which occur in density-matrix renormalization group (DMRG) calculations. Both for one site and for half of the chain, these are found to be…

Statistical Mechanics · Physics 2009-10-31 Ingo Peschel , Ming-Chiang Chung

Applying three independent techniques, we give numerical evidence for a finite superfluid density in isotropic hole-doped t--J ladders: We show the existence of anomalous flux quantization, emphasising the contrasting behaviour to that…

Condensed Matter · Physics 2019-08-16 C. A. Hayward , D. Poilblanc , R. M. Noack , D. J. Scalapino , W. Hanke

In many-body fermionic systems at finite density correlation functions of the density operator exhibit Friedel oscillations at a wavevector that is twice the Fermi momentum. We demonstrate the existence of such Friedel oscillations in a 3d…

High Energy Physics - Theory · Physics 2012-07-19 Thomas Faulkner , Nabil Iqbal

The Reissner-Nordstrom black hole provides the prototypical description of a holographic system at finite density. We study the response of this system to the presence of a local, charged impurity. Below a critical temperature, the induced…

High Energy Physics - Theory · Physics 2015-06-23 Mike Blake , Aristomenis Donos , David Tong

We study the one-dimensional Kondo lattice model through the density matrix renormalization group (DMRG). Our results for the spin correlation function indicate the presence of a small Fermi surface in large portions of the phase diagram,…

Strongly Correlated Electrons · Physics 2007-05-23 J. C. Xavier , E. Novais , E. Miranda

We study the Friedel oscillations induced by a localized impurity in anisotropic graphene. We focus on the limit when the two inequivalent Dirac points merge. We find that in this limit the Friedel oscillations manifest very peculiar…

Mesoscale and Nanoscale Physics · Physics 2016-06-07 Clément Dutreix , Liviu Bilteanu , Anu Jagannathan , Cristina Bena

Using the density matrix renormalization group algorithm, we study the model of spinless fermions with nearest-neighbor interaction on a ring in the presence of disorder. We determine the spatial decay of the density induced by a defect…

Condensed Matter · Physics 2009-10-28 P. Schmitteckert , U. Eckern

We study the density disturbance of a correlated 1D electron liquid in the presence of a scatterer or a barrier. The 2k_F-periodic density profile away from the barrier (Friedel oscillation) is computed for arbitrary electron--electron…

Condensed Matter · Physics 2007-05-23 Reinhold Egger , Hermann Grabert

We derived the corresponding boundary condition on Fermi fields to the spin-1/2 Heisenberg chain with boundary magnetic fields. In order to obtain the correct boundary condition from the variation of the action at the edges, we carefully…

Statistical Mechanics · Physics 2014-12-09 Chihiro Matsui

Charge density waves (CDWs) appear in numerous condensed matter platforms, ranging from high-Tc superconductors to quantum Hall systems. Despite such ubiquity, there has been a lack of direct experimental study on boundary states that can…

We consider the problem of sliding motion of a charge-density-wave subject to static disorder within an elastic medium model. Starting with a field-theoretical formulation, which allows exact disorder averaging, we propose a self-consistent…

Disordered Systems and Neural Networks · Physics 2009-10-30 C. R. Werner , U. Eckern

We study the spectral function of two-leg Hubbard ladders with the time-dependent density matrix renormalization group method (tDMRG). The high-resolution spectrum displays features of spin-charge separation and a scattering continuum of…

Strongly Correlated Electrons · Physics 2019-06-19 Chun Yang , Adrian E. Feiguin

We consider an electron-phonon system in two and three dimensions on square, hexagonal and cubic lattices. The model is a modification of the standard Holstein model where the optical branch is appropriately curved in order to have a…

Statistical Mechanics · Physics 2009-10-31 N. Macris , C. -A. Piguet