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A new theoretical framework for the nonequilibrium Green's function (NEGF) scheme is presented to account for the discrete nature of impurities doped in semiconductor nanostructures. The short-range part of impurity potential is included as…

Mesoscale and Nanoscale Physics · Physics 2026-04-27 Nobuyuki Sano

We consider a topological insulator (TI) of spherical geometry and numerically investigate the influence of disorder on the density of surface states. To the clean Hamiltonian we add a surface disorder potential of the most general…

Mesoscale and Nanoscale Physics · Physics 2016-06-29 Adam C. Durst

In this study we investigate the effect of random point disorder on the surface states of a topological insulator with out-of-plane magnetization. We consider the disorder within a high order Born approximation. The Born series converges to…

Mesoscale and Nanoscale Physics · Physics 2023-06-07 R. S. Akzyanov

We study the problem of two local potential scatterers in a d-wave superconductor, and show how quasiparticle bound state wave functions interfere. Each single-impurity electron and hole resonance energy is in general split in the presence…

Superconductivity · Physics 2009-11-07 Lingyin Zhu , W. A. Atkinson , P. J. Hirschfeld

We consider the effects of impurities on topological insulators and superconductors. We start by identifying the general conditions under which the eigenenergies of an arbitrary Hamiltonian H belonging to one of the Altland-Zirnbauer…

Mesoscale and Nanoscale Physics · Physics 2016-01-27 Lukas Kimme , Timo Hyart

We study the formation of subgap impurity states in strongly correlated Mott insulators. We use a composite operator method that gives us access to both the bulk Green's function, as well as to the real-space Green's function in the…

Strongly Correlated Electrons · Physics 2025-10-23 Emile Pangburn , Anurag Banerjee , Catherine Pépin , Cristina Bena

It has been recently suggested that when an Anderson impurity is immersed in the bulk of a topological insulator, a Kondo resonant peak will appear simultaneously with an in-gap bound-state when the band-dispersion has an…

Strongly Correlated Electrons · Physics 2014-01-07 Igor Kuzmenko , Yshai Avishai , Tai Kai Ng

Effects of disorder on electron-doped iron pnictides are investigated systematically based on self-consistent Bogoliubov-de Gennes equations. Multiply impurities with same scattering potential (SP) are randomly distributed in a square…

Superconductivity · Physics 2015-02-26 Huaixiang Huang , Shuchao Zhang , Yi Gao , Wei Ren

A general partial-wave multiple scattering theory for scattering from cylindrically symmetric potentials on a topological insulator (TI) surface is developed. As an application, the cross sections for a single scatterer and two scatterers…

Mesoscale and Nanoscale Physics · Physics 2011-12-09 Zhen-Guo Fu , Ping Zhang , Zhigang Wang , Shu-Shen Li

We study in this paper time-reversal $\delta$-impurity scattering effects in the bulk of topological insulators (TI) in two and three dimensions. Specifically we consider how impurity scattering strength is affected by the bulk band…

Materials Science · Physics 2015-06-03 Cheung Chan , Tai-Kai Ng

Using a three-dimensional microscopic lattice model of a strong topological insulator (TI) we study potential impurities and vacancies in surface and subsurface positions. For all impurity locations we find impurity-induced resonance states…

Mesoscale and Nanoscale Physics · Physics 2012-09-24 Annica M. Black-Schaffer , Alexander V. Balatsky

We study the one-point and two-point Green's functions in a complex random matrix model to sub-leading orders in the large N limit. We take this complex matrix models as a model for the two-state scattering problem, as applied to spin…

Condensed Matter · Physics 2009-10-28 S. Hikami , A. Zee

We study disorder effects on the surface states of the topological insulator Bi$_2$Se$_3$ close to the topologically protected crossing point. Close to charge neutrality, local fluctuations in carrier density arising from the random charged…

Mesoscale and Nanoscale Physics · Physics 2012-06-08 S. Adam , E. H. Hwang , S. Das Sarma

Recent STM measurements have observed many inhomogeneous patterns of the local density of states on the surface of high-T_c cuprates. As a first step to study such disordered strong correlated systems, we use the BdG equation for the…

Strongly Correlated Electrons · Physics 2008-12-16 Noboru Fukushima , Chung-Pin Chou , Ting Kuo Lee

The charged and magnetic states of isolated impurities dissolved in amorphous metallic alloy are investigated. The Hamiltonian of the system under study is the generalization of Anderson impurity model. Namely, the processes of elastic and…

Mesoscale and Nanoscale Physics · Physics 2013-10-07 G. V. Ponedilok , M. I. Klapchuk

We study systems of multiple interacting quantum impurities deposited on a metallic surface in a 3D host. For the real-space two-impurity problem, using numerical renormalization group calculations, a rich range of behavior is shown to…

Strongly Correlated Electrons · Physics 2015-06-16 Andrew K. Mitchell , Philip G. Derry , David E. Logan

Inelastic scattering off magnetic impurities in a spin-chiral two-dimensional electron gas, e.g., the Rashba system, is shown to generate topological changes in the spin texture of the electron waves emanating from the scattering center.…

Mesoscale and Nanoscale Physics · Physics 2015-09-10 J. Fransson

A numerical method for calculation of the electronic structure of transition metal impurities in semiconductors based on the Green function technique is developed. The electronic structure of 3d impurity is calculated within the LDA+U…

Other Condensed Matter · Physics 2009-11-13 O. V. Farberovich , A. Yaresko , K. Kikoin , V. Fleurov

The existence of robust chiral edge states in a finite topologically nontrivial chern insulator is a consequence of the bulk-boundary correspondence. In this paper, we present a theoretical framework based on lattice Green's function to…

Mesoscale and Nanoscale Physics · Physics 2020-03-25 M. Soltani , M. Amini

Impurity-induced quasiparticle bound states on a pair-breaking surface of a d-wave superconductor are theoretically described, taking into account hybridization of impurity- and surface-induced Andreev states. Further a theory for effects…

Superconductivity · Physics 2009-11-10 M. S. Kalenkov , M. Fogelstrom , Yu. S. Barash