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We calculate the frequency-dependent shot noise in the edge states of a two-dimensional topological insulator coupled to a magnetic impurity with spin $S=1/2$ of arbitrary anisotropy. If the anisotropy is absent, the noise is purely thermal…

Mesoscale and Nanoscale Physics · Physics 2019-01-15 K. E. Nagaev , S. V. Remizov , D. S. Shapiro

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

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

A quantum magnetic impurity of spin $S$ at the edge of a two-dimensional time reversal invariant topological insulator may give rise to backscattering. We study here the shot noise associated with the backscattering current for arbitrary…

Mesoscale and Nanoscale Physics · Physics 2019-08-09 Pavel D. Kurilovich , Vladislav D. Kurilovich , Igor S. Burmistrov , Yuval Gefen , Moshe Goldstein

We investigate theoretically the nonequilibrium finite-frequency current noise in a four-terminal quantum point contact of interacting helical edge states at a finite bias voltage. Special focus is put on the effects of the single-particle…

Strongly Correlated Electrons · Physics 2013-07-17 Yu-Wen Lee , Yu-Li Lee , Chung-Hou Chung

We calculate the two-terminal current noise generated by a magnetic moment coupled to a helical edge of a two-dimensional topological insulator. When the system is symmetric with respect to in-plane spin rotation, the noise is dominated by…

Mesoscale and Nanoscale Physics · Physics 2017-03-15 Jukka I. Väyrynen , Leonid I. Glazman

Edge states of two-dimensional topological insulators are helical and single-particle backscattering is prohibited by time-reversal symmetry. In this work, we show that an isotropic exchange coupling of helical edge states (HES) to a spin…

Mesoscale and Nanoscale Physics · Physics 2022-08-08 Benedikt Probst , Pauli Virtanen , Patrik Recher

We propose and analyze the non-equilibrium finite frequency current-current correlations as a mean to characterize the helical nature of the edge states in a quantum spin hall geometry. We show that the finite frequency noise enables to…

Mesoscale and Nanoscale Physics · Physics 2012-11-16 J. -R. Souquet , P. Simon

We study the conductance of a time-reversal symmetric helical electronic edge coupled antiferromagnetically to a magnetic impurity, employing analytical and numerical approaches. The impurity can reduce the perfect conductance $G_0$ of a…

Strongly Correlated Electrons · Physics 2020-04-15 Yuval Vinkler-Aviv , Daniel May , Frithjof B. Anders

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…

Materials Science · Physics 2007-05-23 B. Trauzettel , I. Safi , F. Dolcini , H. Grabert

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

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 study the effect of electron-phonon interactions on the electrical conductance of a helical edge state of a two-dimensional topological insulator. We show that the edge deformation caused by bulk acoustic phonons modifies the spin…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Solofo Groenendijk , Giacomo Dolcetto , Thomas L. Schmidt

A strip of 2D HgTe topological insulator is studied. The same-spin edge states in ideal system propagate in opposite directions on different sides of the strip and do not mix by tunneling. Impurities, edge irregularities, and phonons…

Mesoscale and Nanoscale Physics · Physics 2014-07-24 M. V. Entin , L. I. Magarill

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

Finite frequency current noise is studied theoretically for a 1D electron system in presence of a scatterer. In contrast to zero frequency shot noise, finite frequency noise shows spatial oscillations at high frequencies with wavelength…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Trauzettel , H. Grabert

The inhomogeneous Tomonaga Luttinger liquid model describing an interacting quantum wire adiabatically coupled to non-interacting leads is analyzed in the presence of a weak impurity within the wire. Due to strong electronic correlations in…

Strongly Correlated Electrons · Physics 2007-05-23 Fabrizio Dolcini , Bjoern Trauzettel , Ines Safi , Hermann Grabert

We study backscattering of electrons and conductance suppression in a helical edge channel in two-dimensional topological insulators with broken axial spin symmetry in the presence of nonmagnetic point defects that create bound states. In…

Mesoscale and Nanoscale Physics · Physics 2021-04-28 Vladimir A. Sablikov , Aleksei A. Sukhanov

We study the finite frequency (F.F.) noise properties of edge states in the Laughlin state. We investigate the model of a resonant detector coupled to a quantum point contact in the weak-backscattering limit. In particular we discuss the…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 M. Carrega , D. Ferraro , A. Braggio , M. Sassetti

We calculate the edge current and its fluctuations, i.e. noise, in a 2D topological superconductor using the T-matrix and the Green function techniques. We show that the current is zero for non-chiral edge states and non-zero for chiral…

Mesoscale and Nanoscale Physics · Physics 2025-12-19 S. Pintus , A. Crépieux
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