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We solve the Boltzmann equation for electrons moving in a two-dimensional plane of square symmetry in the presence of a transverse magnetic field. We assume that there are two sources of scattering: a large momentum-independent scattering…

Condensed Matter · Physics 2016-08-31 R. Hlubina

We study the effects of impurity scattering on the low energy edge state dynamic s for a broad class of quantum Hall fluids at filling factor $\nu =n/(np+1)$, for integer $n$ and even integer $p$. When $p$ is positive all $n$ of the edge…

Condensed Matter · Physics 2009-10-22 C. L. Kane , M. P. A. Fisher

This paper develops a scattering theory to examine how point impurities affect transport through quantum wires. While some of our new results apply specifically to hard-walled wires, others--for example, an effective optical theorem for…

Quantum Physics · Physics 2007-05-23 J. Y. Vaishnav , A. Itsara , E. J. Heller

The past decade has seen the emergence of ab initio computational methods for calculating phonon-limited carrier mobilities in semiconductors with predictive accuracy. More realistic calculations ought to take into account additional…

Materials Science · Physics 2023-04-12 Joshua Leveillee , Xiao Zhang , Emmanouil Kioupakis , Feliciano Giustino

The scattering of carriers by charged dislocations in semiconductors is studied within the framework of the linearized Boltzmann transport theory with an emphasis on examining consequences of the extreme anisotropy of the scattering…

Disordered Systems and Neural Networks · Physics 2013-01-09 Bhavtosh Bansal , Rituparna Ghosh , V. Venkataraman

Coherent electron transport through a quantum channel in the presence of a general extended scattering potential is investigated using a T-matrix Lippmann-Schwinger approach. The formalism is applied to a quantum wire with Gaussian type…

We study the transport properties of a Luttinger liquid in the presence of several time-dependent weak point-like impurities. Our starting point is the bosonized form of the Luttinger liquid Hamiltonian with a potential introduced by the…

Strongly Correlated Electrons · Physics 2007-05-23 D. Makogon , V. Juricic , C. Morais Smith

The scattering of electrons on impurities with internal degrees of freedom is bound to produce the signatures of the scatterer's own dynamics and results in nontrivial electronic transport properties. Previous studies of polaronic…

Strongly Correlated Electrons · Physics 2021-01-18 J. Krsnik , I. Batistić , A. Marunović , E. Tutiš , O. S. Barišić

We study the transport properties of a quantum wire, described by the Tomonaga-Luttinger model, in the presence of a backscattering potential provided by several extended time-dependent impurities (barriers). Employing the B\"…

Strongly Correlated Electrons · Physics 2010-07-08 D. Makogon , V. Juricic , C. Morais Smith

Charge transport in topological insulators is primarily characterised by so-called topologically projected helical edge states, where charge carriers are correlated in spin and momentum. In principle, dissipation-less current can be carried…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Jesse A. Vaitkus , Cong Son Ho , Jared H. Cole

Transport in an ideal two-dimensional quantum spin Hall device is dominated by the counterpropagating edge states of electrons with opposite spins, giving the universal value of the conductance, $2e^2/h$. We study the effect on the…

Mesoscale and Nanoscale Physics · Physics 2011-06-14 Yoichi Tanaka , A. Furusaki , K. A. Matveev

Transport by helical edge states of a quantum spin Hall insulator is experimentally characterized by a weakly temperature-dependent mean free path of a few microns and by reproducible conductance oscillations, challenging proposed…

Mesoscale and Nanoscale Physics · Physics 2016-02-09 Lukas Kimme , Bernd Rosenow , Arne Brataas

Scattering by a single impurity introduced in a strongly correlated electronic system is studied by exact diagonalization of small clusters. It is shown that an inert site which is spinless and unable to accomodate holes can give rise to…

Condensed Matter · Physics 2009-10-22 D. Poilblanc , W. Hanke , D. J. Scalapino

We study scattering of waves by impurities in strongly precompressed granular chains. We explore the linear scattering of plane waves and identify a closed-form expression for the reflection and transmission coefficients for the scattering…

Pattern Formation and Solitons · Physics 2016-06-01 Alejandro J. Martínez , Hiromi Yasuda , Eunho Kim , P. G. Kevrekidis , Mason A. Porter , Jinkyu Yang

The full counting statistics for the charge transport through an undoped graphene sheet in the presence of strong potential impurities is studied. Treating the scattering off the impurity in the s-wave approximation, we calculate the…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 M. Titov , P. M. Ostrovsky , I. V. Gornyi , A. Schuessler , A. D. Mirlin

Correlated, or extended, impurities play an important role in the transport properties of dirty metals. Here, we examine, in the framework of a tight-binding lattice, the transmission of a single electron through an array of correlated…

Other Condensed Matter · Physics 2009-11-11 Wonkee Kim , L. Covaci , F. Marsiglio

Two-dimensional semiconductors are structurally ideal channel materials for the ultimate atomic electronics after silicon era. A long-standing puzzle is the low carrier mobility ({\mu}) in them as compared with corresponding bulk…

Scattering by charged impurities is known to mainly determine transport properties of electrons in modern quantum materials, but it remains poorly studied for materials with Mexican hat dispersion. Due to such nontrivial features as a…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Bagun S. Shchamkhalova , Vladimir A. Sablikov

We study electron transport through a semiconductor quantum ring with one input and two output terminals for an elastic scatterer present within one of the arms of the ring. We demonstrate that the scatterer not only introduces asymmetry in…

Mesoscale and Nanoscale Physics · Physics 2010-04-14 B. Szafran , M. R. Poniedzialek

We study the chaotic scattering through an Aharonov-Bohm ring containing two cavities. One of the cavities has well-separated resonant levels while the other is chaotic, and is treated by random matrix theory. The conductance through the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Kazutaka Takahashi , Tomosuke Aono
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