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We study the ground state phase diagram of the Anderson-Hubbard model with correlated hopping at half filling in one-dimension. The Hamiltonian has a local Coulomb repulsion $U$ and a disorder potential with local energies randomly…

Strongly Correlated Electrons · Physics 2017-07-19 Francesca Battista , Alberto Camjayi , Liliana Arrachea

The Anderson transition in three dimensions in a randomly varying magnetic flux is investigated in detail by means of the transfer matrix method with high accuracy. Both, systems with and without an additional random scalar potential are…

Disordered Systems and Neural Networks · Physics 2009-10-31 T. Kawarabayashi , B. Kramer , T. Ohtsuki

We study the renormalization group flow of the Luttinger-Ward functional and of its two-particle irreducible vertex functions, given a cut-off in the two-particle interaction. We derive a conserving approximation to the flow and relate it…

Strongly Correlated Electrons · Physics 2017-01-05 Jan Frederik Rentrop , Volker Meden , Severin Georg Jakobs

To contrast different generators for flow equations for Hamiltonians and to discuss the dependence of physical quantities on unitarily equivalent, but effectively different initial Hamiltonians, a numerically solvable model is considered…

Statistical Mechanics · Physics 2009-11-07 T. Stauber , A. Mielke

We apply the renormalized perturbation theory (RPT) to the symmetric Anderson impurity model. Within the RPT framework exact results for physical observables such as the spin and charge susceptibility can be obtained in terms of the…

Strongly Correlated Electrons · Physics 2015-06-19 Vassilis Pandis

We examine the localization properties of the three-dimensional (3D) Anderson Hamiltonian with off-diagonal disorder using the transfer-matrix method (TMM) and finite-size scaling (FSS). The nearest-neighbor hopping elements are chosen…

Disordered Systems and Neural Networks · Physics 2007-05-23 P. Cain , R. A. Roemer , M. Schreiber

We study a localized spin coupled to an Anderson impurity to model the situation found in higher transition metal or rare earth compounds like e.g.\ LaMnO$_3$ or Gd monopnictides. We find that, even for large quantum numbers of the…

Strongly Correlated Electrons · Physics 2007-05-23 Robert Peters , Thomas Pruschke

We study Anderson localisation on high-dimensional graphs with spatial structure induced by long-ranged but distance-dependent hopping. To this end, we introduce a class of models that interpolate between the short-range Anderson model on a…

Disordered Systems and Neural Networks · Physics 2026-04-22 Bibek Saha , Sthitadhi Roy

Anderson transition in quasiperiodic potentials and the associated mobility edges have been a central focus in quantum simulation across multidisciplinary physical platforms. While these transitions have been experimentally observed in…

We analyse the effect of quenched uncorrelated randomness coupling to the local energy density of a model consisting of N coupled two-dimensional Ising models. For N>2 the pure model exhibits a fluctuation-driven first order transition,…

Condensed Matter · Physics 2016-08-31 John Cardy

The single-parameter scaling hypothesis predicts the absence of delocalized states for noninteracting quasiparticles in low-dimensional disordered systems. We show analytically and numerically that extended states may occur in the one- and…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Rodriguez , V. A. Malyshev , G. Sierra , M. A. Martin-Delgado , J. Rodriguez-Laguna , F. Dominguez-Adame

We illustrate the renormalized perturbation expansion method by applying it to a single impurity Anderson model. Previously, we have shown that this approach gives the {\it exact} leading order results for the specific heat, spin and charge…

Strongly Correlated Electrons · Physics 2009-11-07 A. C. Hewson

We use a novel parameterization of the flowing Hamiltonian to show that the flow equations based on continuous unitary transformations, as proposed by Wegner, can be implemented through a nonlinear partial differential equation involving…

Other Condensed Matter · Physics 2015-06-24 J. N. Kriel , A. Y. Morozov , F. G. Scholtz

In order to numerically study electron correlation effects in multi-orbital systems, we propose a new type of discrete transformation for the exchange (Hund's coupling) and pair-hopping interactions to be used in the dynamical mean field…

Strongly Correlated Electrons · Physics 2009-11-10 Shiro Sakai , Ryotaro Arita , Hideo Aoki

A generalized Anderson model for a magnetic impurity in an interacting one-dimensional electron gas is studied via a mapping onto a classical Coulomb gas. For weak potential scattering, the local-moment parameter regime expands as repulsive…

Condensed Matter · Physics 2009-10-28 Avraham Schiller , Kevin Ingersent

The effect of hadronic rescattering on the elliptic flow has been investigated by the Cooper-Frye hadronization model from hydrodynamic evolution following by the afterburner hadronic rescattering model for 200 GeV/c Au + Au at 20-40%…

Earlier we reported an observation at low temperatures of activation conductivity with small activation energies in strongly doped uncompensated layers of p-GaAs/AlGaAs quantum wells. We attributed it to Anderson delocalization of…

Disordered Systems and Neural Networks · Physics 2011-09-01 N. V. Agrinskaya , V. I. Kozub , D. S. Poloskin

We study the interacting, symmetrically coupled single impurity Anderson model. By employing the nonequilibrium Green's function formalism, we establish an exact relationship between the steady-state charge current flowing through the…

Mesoscale and Nanoscale Physics · Physics 2017-12-25 Bijay Kumar Agarwalla , Dvira Segal

We examine the localization properties of the 2D Anderson Hamiltonian with off-diagonal disorder. Investigating the behavior of the participation numbers of eigenstates as well as studying their multifractal properties, we find states in…

Disordered Systems and Neural Networks · Physics 2009-10-30 Andrzej Eilmes , Rudolf A. Roemer , Michael Schreiber

We present a systematic study of the role of Anderson orthogonality for the dynamics after a quantum quench in quantum impurity models, using the numerical renormalization group. As shown by Anderson in 1967, the scattering phase shifts of…

Strongly Correlated Electrons · Physics 2013-01-16 Wolfgang Münder , Andreas Weichselbaum , Moshe Goldstein , Yuval Gefen , Jan von Delft