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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…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 D. E. Feldman , Yuval Gefen

We consider the effects of electron scattering off a quantum magnetic impurity on the current-voltage characteristics of the helical edge of a two-dimensional topological insulator. We compute the backscattering contribution to the current…

Mesoscale and Nanoscale Physics · Physics 2018-04-06 P. D. Kurilovich , V. D. Kurilovich , I. S. Burmistrov , M. Goldstein

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

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

The edge states of the recently proposed quantum spin Hall systems constitute a new symmetry class of one-dimensional liquids dubbed the ``helical liquid'', where the spin orientation is determined by the direction of electron motion. We…

Other Condensed Matter · Physics 2007-05-23 Congjun Wu , B. Andrei Bernevig , Shou-Cheng Zhang

Helical edge modes of 2D topological insulators are supposed to be protected from time-reversal invariant elastic backscattering. Yet substantial deviations from the perfect conductance are typically observed experimentally down to very low…

Mesoscale and Nanoscale Physics · Physics 2019-02-12 V. D. Kurilovich , P. D. Kurilovich , I. S. Burmistrov , M. Goldstein

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

We evaluate the low-temperature conductance of a weakly interacting one-dimensional helical liquid without axial spin symmetry. The lack of that symmetry allows for inelastic backscattering of a single electron, accompanied by…

Mesoscale and Nanoscale Physics · Physics 2012-05-07 Thomas L. Schmidt , Stephan Rachel , Felix von Oppen , Leonid I. Glazman

In this work we obtain the exact analytical scattering solutions of a particle (electron or hole) in a semiconductor double heterojunction - potential well / barrier - where the effective mass of the particle varies with position inside the…

Quantum Physics · Physics 2015-06-03 Anjana Sinha

Elastic backscattering of electrons moving along the helical edge is prohibited by time-reversal symmetry (TRS). We demonstrate, however, that an ensemble of magnetic impurities may cause TRS-preserving quasi-elastic backscattering,…

Mesoscale and Nanoscale Physics · Physics 2015-06-12 Vadim Cheianov , Leonid Glazman

Linear scattering processes are usually described as a function of the parameters of the incident beam. The wavelength, the intensity distribution, the polarization or the phase are among them. Here, we discuss and experimentally…

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

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

We demonstrate that electrostatic interactions between helical electrons at the edge of a quantum spin Hall insulator and a dynamical impurity can induce quasi-elastic backscattering. Modelling the impurity as a two-level system, we show…

Mesoscale and Nanoscale Physics · Physics 2021-07-07 Max McGinley , Nigel R. Cooper

We study the renormalization of a single impurity potential in one-dimensional interacting electron systems in the presence of magnetic field. Using the bosonization technique and Bethe ansatz solutions, we determine the renormalization…

Strongly Correlated Electrons · Physics 2007-05-23 T. Hikihara , A. Furusaki , K. A. Matveev

We study the quasiparticle interference (QPI) patterns caused by scattering off nonmagnetic, magnetic point impurities, and edge impurities, separately, in a two dimensional helical liquid, which describes the surface states of a…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Xiaoting Zhou , Chen Fang , Wei-Feng Tsai , Jiangping Hu

We demonstrate the possibility to induce and control peculiar spin textures in a helical Luttinger liquid, by means of a time-dependent magnetic scatterer. The presence of a perturbation that breaks the time-reversal symmetry opens a gap in…

Mesoscale and Nanoscale Physics · Physics 2014-03-17 Giacomo Dolcetto , Fabio Cavaliere , Maura Sassetti

We study quantum quenches of helical liquids with spin-flip inelastic scattering. Counterpropagating charge packets in helical edges can be created by an ultrashort electric pulse applied across a 2D topological insulator. Localized "hot…

Mesoscale and Nanoscale Physics · Physics 2021-07-08 Xinghai Zhang , Matthew S. Foster

We present the results of an experimental study of multiple scattering of positively charged high energy particles in bent samples of monocrystalline silicon. This work confirms the recently discovered effect of a strong reduction in the…

We study entanglement in the scattering processes by fixed impurity and Kondo impurity. The fixed impurity plays a role as spin state filter that is employed to concentrate entanglement between the scattering particle and the unscattering…

Quantum Physics · Physics 2007-05-23 Dong Yang , Shi-Jian Gu , Haibin Li
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