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Two-dimensional electron gas in the integer quantum Hall regime is investigated numerically by studying the dynamics of an electron hopping on a square lattice subject to a perpendicular magnetic field and random on-site energy with white…

Disordered Systems and Neural Networks · Physics 2014-02-07 C. Wang , Y. Avishai , Y. Meir , X. R. Wang

The diffusion of electronic wave packets in one-dimensional systems with on-site, binary disorder is numerically investigated within the framework of a single-band tight-binding model. Fractal properties are incorporated by assuming that…

Disordered Systems and Neural Networks · Physics 2008-07-07 P. R. Wells , J. d'Albuquerque e Castro , S. L. A. de Queiroz

Delocalization problem for a two-dimensional non-interacting electron system is studied under a random magnetic field. With the presence of a random magnetic field, the Hall conductance carried by each eigenstate can become nonzero and…

Condensed Matter · Physics 2016-08-31 D. N. Sheng , Z. Y. Weng

We propose a Lifshitz argument in order to analyse the low energy spectrum of an electron moving in a strong magnetic field and scattered by randomly distributed repulsive zero-range impurities. The typical configurations of disorder which…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 C. Furtlehner

Magnetic impurities play an important role in many spintronics-related materials. Motivated by this fact, we study the anomalous Hall effect in the presence of magnetic impurities, focusing on two-dimensional electron systems with Rashba…

Materials Science · Physics 2009-11-13 Tamara S. Nunner , Gergely Zarand , Felix von Oppen

The electronic structure near a single classical magnetic impurity in a superconductor is determined using a fully self-consistent Koster-Slater algorithm. Localized excited states are found within the energy gap which are half electron and…

Condensed Matter · Physics 2009-10-28 Michael E. Flatte' , Jeff M. Byers

Using the method of energy-level statistics, the localization properties of electrons moving in two dimensions in the presence of a perpendicular random magnetic field and additional random disorder potentials are investigated. For this…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 M. Batsch , L. Schweitzer , B. Kramer

The localization of electrons in the field of isolated nonmagnetic impurity atoms on the surface of a nanotube in a magnetic field is considered. A model of a Gaussian separable impurity potential capable of localizing an electron at any…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 G. I. Rashba

Two models for the long-range random impurity potential (the model with randomly distributed charged centers located within a layer and the model of the system with a spacer) are used for evaluation of the impurity potential fluctuation…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yu. G. Arapov , O. A. Kuznetsov , V. N. Neverov , G. I. Harus , N. G. Shelushinina , M. V. Yakunin

The quantum Hall conductance of a disordered two-dimensional gas of non-interacting electrons is re-examined for its integrity against disorder in the limit of no mixing between different Landau levels. The exact one-electron eigenstates of…

Condensed Matter · Physics 2007-05-23 N. Kumar

We analyze the ground state properties of the two-dimensional quantum antiferromagnet with a S=1/2 Kondo impurity. Perturbation theory around the strong Kondo coupling limit is developed and the results compared with studies, based on exact…

Strongly Correlated Electrons · Physics 2009-10-31 V. N. Kotov , J. Oitmaa , O. Sushkov

The magnetic behavior of antiferromagnetic spin 1/2 chains with site-centered impurities in a magnetic field is investigated. The effect of impurities is implemented by considering different situations of both diagonal and off-diagonal…

Strongly Correlated Electrons · Physics 2011-04-04 P. Pujol , J. Rech

Short and long-range impurities have been examined for fractional quantum Hall systems. There appears to be a consistent computational picture for short range impurities. In the case of long range impurities, calculations agree…

Strongly Correlated Electrons · Physics 2018-12-26 Barry Friedman

The single-particle spectral function for an incompressible fractional quantum Hall state in the presence of a scalar short-ranged attractive impurity potential is calculated via exact diagonalization within the spherical geometry. In…

Strongly Correlated Electrons · Physics 2015-06-17 Kelly R. Patton , Michael R. Geller

The Friedel oscillations caused due to an impurity located at one edge of a disordered interacting quantum wire are calculated numerically. The electron density in the system's ground state is determined using the DMRG method, and the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Y. Weiss , M. Goldstein , R. Berkovits

Localization properties of quasi-one dimensional quantum wire nanostructures are investigated using the transfer matrix-Lyapunov exponent technique. We calculate the localization length as a function of the effective mean-field mobility…

Condensed Matter · Physics 2016-08-31 Dongzi Liu , S. Das Sarma

Defects in graphene are of crucial importance for its electronic and magnetic properties. Here impurity effects on the electronic structure of surrounding carbon atoms are considered and the distribution of the local densities of states…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 T. O. Wehling , A. V. Balatsky , M. I. Katsnelson , A. I. Lichtenstein , K. Scharnberg , R. Wiesendanger

The localization properties of electrons moving in a plane perpendicular to a spatially-correlated static magnetic field of random amplitude and vanishing mean are investigated. We apply the method of level statistics to the eigenvalues and…

Disordered Systems and Neural Networks · Physics 2007-05-23 H. Potempa , L. Schweitzer

Calculating the density-density correlation function for disordered wires, we study localization properties of wave functions in a magnetic field. The supersymmetry technique combined with the transfer matrix method is used. It is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Kolesnikov , K. B. Efetov

The 2-- to 1--dimensional crossover of the localisation length of electrons confined to a disordered quantum wire of finite width $L_y$ is studied in a model of electrons moving in the potential of uncorrelated impurities. An analytical…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 S. Kettemann