# Helical edge transport in the presence of a magnetic impurity

@article{Kurilovich2017HelicalET, title={Helical edge transport in the presence of a magnetic impurity}, author={Pavel D. Kurilovich and Vladislav D. Kurilovich and Igor S. Burmistrov and M. Goldstein}, journal={JETP Letters}, year={2017}, volume={106}, pages={593 - 599} }

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 along the edge for a general form of the exchange interaction matrix and arbitrary value of the magnetic impurity spin. We find that the differential conductance may exhibit a nonmonotonic dependence on the voltage with several extrema.

## 11 Citations

### Unrestricted Electron Bunching at the Helical Edge.

- PhysicsPhysical review letters
- 2019

A quantum magnetic impurity of spin S at the edge of a two-dimensional time reversal invariant topological insulator may give rise to backscattering, and it is rigorously proved that for S=1/2 the Fano factor is bounded between 1 and 2.

### Finite frequency backscattering current noise at a helical edge

- Physics
- 2020

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…

### Analytical and numerical study of the out-of-equilibrium current through a helical edge coupled to a magnetic impurity

- PhysicsPhysical Review B
- 2020

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…

### Quantized spin Hall conductance in a magnetically doped two dimensional topological insulator

- Physics, Materials ScienceNature Communications
- 2021

The successful experimental demonstration of a quantized spin Hall resistance in HgTe quantum wells dilutely alloyed with magnetic Mn atoms is reported, laying the foundation for future investigations of magnetically doped quantum spin Hall materials towards the realization of chiral Majorana fermions.

### Scattering of Wave Packets on the Surface of Topological Insulators in the Presence of Potential Barriers with Magnetization

- Physics
- 2020

Abstract The nonstationary Schrödinger equation is solved numerically by the Cayley method for wave packets that are formed from surface states on the surface of topological insulators and are…

### Quantitative theory of backscattering in topological HgTe and (Hg,Mn)Te quantum wells: Acceptor states, Kondo effect, precessional dephasing, and bound magnetic polaron

- PhysicsPhysical Review B
- 2023

We present the theory and numerical evaluations of the backscattering rate determined by acceptor holes or Mn spins in HgTe and (Hg,Mn)Te quantum wells in the quantum spin Hall regime. The role of…

### Electrically detected single-spin resonance with quantum spin Hall edge states

- PhysicsPhysical Review B
- 2023

Detection is most often the main impediment to reduce the number of spins in paramagnetic resonance experiments. Here we propose a new route to carry out electrically-detected spin resonance of an…

### Does delta-$T$ noise probe quantum statistics?

- Physics
- 2022

We study delta- T noise—excess charge noise at zero voltage but ﬁnite temperature bias—for weak tunneling in one-dimensional interacting systems. We show that the sign of the delta- T noise is…

### Supplemental Material for “ Unrestricted electron bunching at the helical edge ”

- Physics, Education
- 2019

Pavel D. Kurilovich, Vladislav D. Kurilovich, Igor S. Burmistrov, 3 Yuval Gefen, and Moshe Goldstein Department of Physics, Yale University, New Haven, CT 06520, USA L. D. Landau Institute for…

### Unidirectional magnetotransport of linearly dispersing topological edge states

- PhysicsPhysical Review B
- 2021

Zhanning Wang, 2 Pankaj Bhalla, 3 Mark Edmonds, Michael S. Fuhrer, and Dimitrie Culcer 2 School of Physics, The University of New South Wales, Sydney 2052, Australia ARC Centre of Excellence in…

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