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It is well known that while forward scattering has no effect on the conductance of one-dimensional systems, backscattering off a static impurity suppresses the current. We study the effect of a time-dependent point impurity on the…

Strongly Correlated Electrons · Physics 2009-11-07 D. E. Feldman , Yuval Gefen

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

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

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

We study the backscattered current in a Luttinger liquid in the presence of a point like weak impurity switched on at finite time, taking into account finite-temperature effects. We show how the well-known results for a static impurity are…

Strongly Correlated Electrons · Physics 2010-06-07 Mariano J. Salvay , Hugo A. Aita , Carlos M. Naón

We investigate how the conductance G through a clean interacting quantum wire is affected by the presence of contacts and noninteracting leads. The contacts are defined by a vanishing two-particle interaction to the left and a finite…

Strongly Correlated Electrons · Physics 2009-11-11 K. Janzen , V. Meden , K. Schoenhammer

We examine the scattering behavior from a single non magnetic impurity in a helical liquid. A helical liquid is a one dimensional system with a pair of counter propagating edge states, which are time reversal partners. In the absence of a…

Mesoscale and Nanoscale Physics · Physics 2012-01-31 Natalie Lezmy , Yuval Oreg , Micha Berkooz

We investigate transport through a single impurity in metallic zigzag carbon nanotube and find the conductance sensitively depends on the impurity strength and the bias voltage. It is rather interesting that interplay between the…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Po-Yao Chang , Hsiu-Hau Lin

We study interacting one dimensional (1D) quantum lattice gases with integrable impurities. These model Hamiltonians can be derived using the quantum inverse scattering method for inhomogeneous models and are by construction integrable.…

Condensed Matter · Physics 2020-05-04 A. Punnoose , H. -P. Eckle , R. A. Römer

We investigate the problem of backscattering off a time-dependent and spatially extended barrier in a one-dimensional electron gas. By performing a perturbative expansion in the backscattering amplitude, we compute the total energy density…

Other Condensed Matter · Physics 2009-11-11 Carlos M. Naón , Mariano J. Salvay

The correspondence between the steady state theory of current transfer and scattering theory in a system of coupled tight-binding models of 1-dimensional wires is explored. For weak interwire coupling both calculations give nearly identical…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Vered Ben-Moshe , Dhurba Rai , Spiros S. Skourtis , Abraham Nitzan

The spin degree of freedom is crucial for both understanding and exploiting the particular properties of the edges of two-dimensional topological insulators. In the absence of superconductivity and magnetism, Rashba coupling is the most…

Mesoscale and Nanoscale Physics · Physics 2020-11-18 Lorenzo Privitera , Niccolò Traverso Ziani , Inès Safi , Björn Trauzettel

Nonequilibrium transport properties are determined exactly for an adiabatically connected single channel quantum wire containing one impurity. Employing the Luttinger liquid model with interaction parameter $g$, for very strong interactions…

Condensed Matter · Physics 2009-10-31 R. Egger , H. Grabert , A. Koutouza , H. Saleur , F. Siano

We use the non-equilibrium Green's function formalism along with a self-consistent Hartree-Fock approximation to numerically study the effects of a single impurity and interactions between the electrons (with and without spin) on the…

Strongly Correlated Electrons · Physics 2009-11-11 Amit Agarwal , Diptiman Sen

We calculate the exact transmission coefficient of a quantum wire in the presence of a single point defect at the wire's cut-off frequencies. We show that while the conductance pattern (i.e., the scattering) is strongly affected by the…

Quantum Physics · Physics 2013-05-29 Er'el Granot

We investigate interference effects of the backscattering current through a double-barrier structure in an interacting quantum wire attached to noninteracting leads. Depending on the interaction strength and the location of the barriers,…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Shaoqing Wang , Liling Zhou , Zhao Yang Zeng

For similar disorder, the backscattering contribution to the conductivity, irrelevant for metallic single-walled carbon nanotubes, is proved to become more significant for doped semiconducting systems, as found in experiments. In the case…

Disordered Systems and Neural Networks · Physics 2009-11-07 Stephan Roche , Francois Triozon , Angel Rubio

We show that conductance of 1D channel with one point-like impurity critically depends on asymptotic behavior of e-e interaction at small momenta k (about inverse length of a channel). Conductance reemerges (contrary to the case of…

Strongly Correlated Electrons · Physics 2015-03-27 V. V. Afonin , V. Yu Petrov

The current noise of a voltage biased interacting quantum wire adiabatically connected to metallic leads is computed in presence of an impurity in the wire. We find that in the weak backscattering limit the Fano factor characterizing the…

Strongly Correlated Electrons · Physics 2009-11-10 B. Trauzettel , I. Safi , F. Dolcini , H. Grabert

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
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