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We study the effect of localized magnetic moments on the conductance of a helical edge. Interaction with a local moment is an effective backscattering mechanism for the edge electrons. We evaluate the resulting differential conductance as a…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Jukka I. Väyrynen , Florian Geissler , Leonid I. Glazman

In this paper, we present a method to investigate the spin-current shot noise in mesoscopic conductors, by using scattering matrix theory and Green's function technique. We first derive a general expression for the spin-current noise at…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Yuhui He

The distinction between chiral, trivial helical, and topological helical edge modes can be effectively made using quantum noise measurements at finite temperatures. Quantum noise measurements consist of mainly two components. The first is…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Sachiraj Mishra , Colin Benjamin

The scattering picture of electron transport in mesoscopic conductors shows that fluctuations of the current reveal additional information on the scattering mechanism not available through the conductance alone. The electronic fluctuations…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Matthias Hübler , Wolfgang Belzig

We propose a two-terminal method to measure shot noise in mesoscopic systems based on an instability in the current-voltage characteristic of an on-chip detector. The microscopic noise drives the instability, which leads to random switching…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Andrew N. Jordan , Eugene V. Sukhorukov

We investigate the correlations in the current fluctuations at different terminals of metallic diffusive conductors. We start from scattering matrix expressions for the shot noise and use the Fisher-Lee relation in combination with diagram…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ya. M. Blanter , M. Buttiker

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 current through a helical edge state of a quantum-spin-Hall insulator may be fully transmitted through a magnetically gapped region due to a combination of spin-transfer torque and spin pumping [Meng {\em et al.}, Phys. Rev. B {\bf 90},…

Mesoscale and Nanoscale Physics · Physics 2016-05-25 P. G. Silvestrov , P. Recher , P. W. Brouwer

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

We derive the symmetrized current-noise spectrum of a quantum dot, which is weakly tunnel-coupled to an electron reservoir and driven by a slow time-dependent gate voltage. This setup can be operated as an on-demand emitter of single…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Niklas Dittmann , Janine Splettstoesser

A semiclassical theory of the low frequency shot noise in ferromagnet - normal metal systems is formulated. Non-collinear magnetization directions of the ferromagnetic leads, arbitrary junctions and the elastic and inelastic scattering…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Yaroslav Tserkovnyak , Arne Brataas

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 study current fluctuations in tunnel junctions driven by a voltage source. The voltage is applied to the tunneling element via an impedance providing an electromagnetic environment of the junction. We use circuit theory to relate the…

Mesoscale and Nanoscale Physics · Physics 2017-06-27 Moritz Frey , Hermann Grabert

We consider electron transport in ferromagnets or antiferromagnets sandwiched between metals. When spins in the magnetic materials precess, they emit currents into the surrounding conductors. Generally, adiabatic pumping in mesoscopic…

Mesoscale and Nanoscale Physics · Physics 2020-08-17 Arne Brataas

Quantum mechanics can strongly influence the noise properties of mesoscopic devices. To probe this effect we have measured the current fluctuations at high-frequency (5-90 GHz) using a superconductor-insulator-superconductor tunnel junction…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 R. Deblock , E. Onac , L. Gurevich , L. P. Kouwenhoven

We analyse the noise of the edge current of a generic fractional quantum Hall state in a tunnelling point contact system. We show that the non-symmetrized noise in the edge current for the system out-of-equilibrium is completely determined…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 Olaf Smits , J. K. Slingerland , Steven H. Simon

The shot noise of current through a metallic double quantum dot structure exhibiting negative differential conductance is studied. We can exactly solve the master equation and derive an analytical expression of the spectral density of…

Mesoscale and Nanoscale Physics · Physics 2013-06-11 V. Hung Nguyen , V. Lien Nguyen , Philippe Dollfus

New experiments that measure the low-frequency shot-noise spectrum at local tunneling contacts on mesoscopic structures are proposed. The current fluctuation spectrum at a single tunneling tip is determined by local partial densities of…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Thomas Gramespacher , Markus Buttiker

Expressing currents and their fluctuations at the terminals of a multi-probe conductor in terms of the wave functions of carriers injected into the Fermi sea provides new insight into the physics of electric currents. This approach helps us…

Mesoscale and Nanoscale Physics · Physics 2021-03-30 Michael Moskalets

A composite fermion edge state theory of current fluctuations, fractional quasiparticle charge and Johnson-Nyquist noise in the fractional quantum Hall regime is presented. It is shown that composite fermion current fluctuations and the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 George Kirczenow