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Anderson model of noninteracting disordered electrons is studied in high spatial dimensions. We find that off-diagonal one- and two-particle propagators behave as gaussian random variables w.r.t. momentum summations. With this…

Disordered Systems and Neural Networks · Physics 2008-09-16 V. Janis , J. Kolorenc

We discuss conditions to be put on mean-field-like theories to be able to describe fundamental physical phenomena in disordered electron systems. In particular, we investigate options for a consistent mean-field theory of electron…

Disordered Systems and Neural Networks · Physics 2008-09-16 V. Janis , J. Kolorenc

We present a self-consistent theory of Anderson localization that yields a simple algorithm to obtain \emph{typical local density of states} as an order parameter, thereby reproducing the essential features of a phase-diagram of…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. Dobrosavljevic , A. A. Pastor , Branislav K. Nikolic

We present a full analytical solution for the localisation length in the one-dimensional Anderson model with weak diagonal disorder in the vicinity of the band centre. The results are obtained with the Hamiltonian map approach that turns…

Disordered Systems and Neural Networks · Physics 2012-06-01 L. Tessieri , I. F. Herrera-González , F. M. Izrailev

In this paper, we present an entropy-stable (ES) discretization using a nodal discontinuous Galerkin (DG) method for the ideal multi-ion magneto-hydrodynamics (MHD) equations. We start by performing a continuous entropy analysis of the…

Numerical Analysis · Mathematics 2024-08-05 Andrés M Rueda-Ramírez , Aleksey Sikstel , Gregor J Gassner

We present a novel approximation scheme for the treatment of strongly correlated electrons in arbitrary crystal lattices. The approach extends the well-known dynamical mean field theory to include nonlocal two-site correlations of arbitrary…

Strongly Correlated Electrons · Physics 2012-04-16 Torben Jabben , Norbert Grewe , Sebastian Schmitt

We study numerically the influence of disorder and localization effects on the local spectroscopic characteristics and infrared optical properties of $\mbox{Ga}_{1-x}\mbox{Mn}_x\mbox{As}$. We treat the band structure and disorder effects at…

Mesoscale and Nanoscale Physics · Physics 2015-02-20 Huawei Gao , Cristian Cernov , T. Jungwirth , Jairo Sinova

(Ga,Mn)As is at the forefront of research exploring the synergy of magnetism with the physics and technology of semiconductors, and has led to discoveries of new spin-dependent phenomena and functionalities applicable to a wide range of…

The Typical Medium Theory provides conceptually the simplest order parameter description of Anderson localization by self-consistently calculating the geometrically-averaged (typical) local density of states (LDOS). Here we show how spatial…

Disordered Systems and Neural Networks · Physics 2016-08-08 Samiyeh Mahmoudian , Vladimir Dobrosavljević

Measurements of the low frequency electrical noise in the ferromagnetic semiconductor (Ga,Mn)As reveal an enhanced integrated noise at low temperature. For moderate localization, we find a 1/f normalized power spectrum density over the…

Materials Science · Physics 2010-06-30 M. Zhu , X. Li , G. Xiang , N. Samarth

Disorder can fundamentally modify the transport properties of a system. A striking example is Anderson localization, suppressing transport due to destructive interference of propagation paths. In inhomogeneous many-body systems, not all…

The effect of disorder on lattice vibrational modes has been a topic of interest for several decades. In this work, we employ a Green's function based approach, namely the dynamical cluster approximation (DCA), to investigate phonons in…

Disordered Systems and Neural Networks · Physics 2019-05-15 Wasim Raja Mondal , T. Berlijn , Juana Moreno , M. Jarrell , N. S. Vidhyadhiraja

In succession to the first paper (arXiv 1406.6204v5), the impurity-atom concentrations when the Fermi levels are either at the valence band maximum (VBM) or the conduction band minimum (CBM) were identified for diamond, cubic boron nitride…

Materials Science · Physics 2014-12-23 Koji Kobashi

We compute the Gilbert damping in (Ga,Mn)As based on the scattering theory of magnetization relaxation. The disorder scattering is included non-perturbatively. In the clean limit, the spin-pumping from the localized d-electrons to the…

Materials Science · Physics 2011-11-03 Kjetil M. D. Hals , Arne Brataas

We report the results of a Monte Carlo study of a model of (III,Mn)V diluted magnetic semiconductors which uses an impurity band description of carriers coupled to localized Mn spins and is applicable for carrier densities below and around…

Condensed Matter · Physics 2009-11-07 Malcolm P. Kennett , Mona Berciu , R. N. Bhatt

We examine the standard model of many-body localization (MBL), i.e., the disordered chain of interacting spinless fermions, by representing it as the network in the many-body (MB) basis of noninteracting localized Anderson states. By…

Strongly Correlated Electrons · Physics 2021-02-04 P. Prelovšek , M. Mierzejewski , J. Krsnik , O. S. Barišić

We have performed ab initio calculations within the density-functional theory for Ga_{1-x}Mn_xAs diluted semiconductors. Total energy results unambiguously show that a quasi-localized down-spin hole, with strong p-like character, surrounds…

Materials Science · Physics 2007-05-23 A. J. R. da Silva , A. Fazzio , R. R. dos Santos , L. E. Oliveira

We study Anderson localization in quasi--one--dimensional disordered wires within the framework of the replica $\sigma$--model. Applying a semiclassical approach (geodesic action plus Gaussian fluctuations) recently introduced within the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Altland , Alex Kamenev , Chushun Tian

We investigate the physics of a magnetic impurity with spin 1/2 in a correlated metallic host. Describing the band by a Hubbard Hamiltonian, the problem is analyzed using dynamical mean-field-theory in combination with Wilson's…

Strongly Correlated Electrons · Physics 2009-10-31 W. Hofstetter , R. Bulla , D. Vollhardt

Using a microscopic finite-cluster tight-binding model, we investigate the trend of the magnetic anisotropy energy as a function of the cluster size for an individual Mn impurity positioned in the vicinity of the (110) GaAs surface,We…

Materials Science · Physics 2014-10-17 M R Mahani , A Pertsova , C M Canali