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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

Magnetic impurities with sufficient anisotropy could account for the observed strong deviation of the edge conductance of 2D topological insulators from the anticipated quantized value. In this work we consider such a helical edge coupled…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 B. V. Pashinsky , M. Goldstein , I. S. Burmistrov

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

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

We analyze the current and the shot-noise of an electron interferometer made of the helical edge states of a two-dimensional topological insulator within the framework of non-equilibrium Green's functions formalism. We study in detail…

Mesoscale and Nanoscale Physics · Physics 2013-11-18 Bruno Rizzo , Liliana Arrachea , Michael Moskalets

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

The frequency-dependent shot noise in long and narrow mesoscopic diffusive contacts is numerically calculated. The case of arbitrarily strong electron-electron scattering and zero temperature of electrodes is considered. For all voltages,…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 K. E. Nagaev

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

The shot noise in long diffusive SNS contacts is calculated using the semiclassical approach. At low frequencies and for purely elastic scattering, the voltage dependence of the noise is of the form S_I = (4\Delta + 2eV)/3R. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 K. E. Nagaev

The exchange coupling of the helical edge state of a quantum spin-Hall insulator with an easy-plane magnet has no effect on its DC electrical conductance if the magnet's anisotropy axis is aligned with the spin quantization axis of the…

Mesoscale and Nanoscale Physics · Physics 2026-01-13 Oliver Franke , Paula Koll , Peter G. Silvestrov , Piet W. Brouwer

A theory of non-equilibrium (``shot'') noise and high frequency conductance in diffusive mesoscopic conductors with screening is presented. Detailed results are obtained for two simple geometries, for both large and short electron-electron…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Y. Naveh , D. V. Averin , K. K. Likharev

A topological insulator is characterized by a dichotomy between the interior and the edge of a finite system: While the bulk has a non-zero energy gap, the edges are forced to sustain excitations traversing these gaps. Originally proposed…

Mesoscale and Nanoscale Physics · Physics 2015-07-07 Roman Süsstrunk , Sebastian D. Huber

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 resistance and shot noise in the edge states of a 2D topological insulator that result from the exchange of electrons between these states and conducting puddles in the bulk of the insulator. The two limiting cases where…

Mesoscale and Nanoscale Physics · Physics 2016-07-21 P. P. Aseev , K. E. Nagaev

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 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

Spin-noise measurements can serve as direct probe for the microscopic decoherence mechanism of an electronic spin in semiconductor quantum dots (QD).We have calculated the spin-noise spectrum in the anisotropic central spin model using a…

Mesoscale and Nanoscale Physics · Physics 2014-05-20 Johannes Hackmann , Frithjof B. Anders

We use a trial wave function to study the spin-1/2 Kondo effect of a helical metal on the surface of a three-dimensional topological insulator. While the impurity spin is quenched by conduction electrons, the spin-spin correlation of the…

Strongly Correlated Electrons · Physics 2015-05-14 Xiao-Yong Feng , Wei-Qiang Chen , Jin-Hua Gao , Qiang-Hua Wang , Fu-Chun Zhang

The surface conductivity for conduction electrons with a fixed chirality in a topological insulator with impurities scattering is considered. The surface excitations are described by the Weyl Hamiltonian. For a finite chemical potential one…

Mesoscale and Nanoscale Physics · Physics 2013-03-06 D. Schmeltzer

This chapter describes the relationship between low frequency noise and coherence decay of localized spins in semiconductors. Section 2 establishes a direct relationship between an arbitrary noise spectral function and spin coherence as…

Mesoscale and Nanoscale Physics · Physics 2009-09-05 Rogerio de Sousa
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