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We study a quantum dot coupled to two edge states of a quantum spin Hall insulator through electron tunnelings in the presence of a Rashba spin-orbital interaction induced by an external electric field. We show that if the electron…

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

Recent topological band theory distinguishes electronic band insulators with respect to various symmetries and topological invariants, most commonly, the time reversal symmetry and the $\rm Z_2$ invariant. The interface of two topologically…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 S. U. Piatrusha , E. S. Tikhonov , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , V. S. Khrapai

The spin Hall effect in a two-dimensional electron system on honeycomb lattice with both intrinsic and Rashba spin-orbit couplings is studied numerically. Integer quantized spin Hall conductance is obtained at zero Rashba coupling limit…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 L. Sheng , D. N. Sheng , C. S. Ting , F. D. M. Haldane

The quantization of conductance in the presence of non-magnetic point defects is a consequence of topological protection and the spin-momentum locking of helical edge states in two-dimensional topological insulators. This protection ensures…

Mesoscale and Nanoscale Physics · Physics 2023-07-25 Mohadese Karimi , Mohsen Amini , Morteza Soltani , Mozhgan Sadeghizadeh

We consider transport properties of a single edge of a two-dimensional topological insulators, in presence of Rashba spin-orbit coupling, driven by two external time-dependent voltages and connected to a thin superconductor. We focus on the…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Flavio Ronetti , Matteo Carrega , Maura Sassetti

A two-dimensional time-reversal symmetric topological superconductor is a fully gapped system possessing a helical Majorana mode on the edges. This helical Majorana edge mode (HMEM), which is a Kramer's pair of two chiral Majorana edge…

Superconductivity · Physics 2018-09-12 Yingyi Huang , Ching-Kai Chiu

Ballistic transport of helical edge modes in two-dimensional topological insulators is protected by time-reversal symmetry. Recently it was pointed out [1] that coupling of non-interacting helical electrons to an array of randomly…

Mesoscale and Nanoscale Physics · Physics 2015-12-31 O. M. Yevtushenko , A. Wugalter , V. I. Yudson , B. L. Altshuler

We study the helical edge states of a two-dimensional topological insulator without axial spin symmetry due to the Rashba spin-orbit interaction. Lack of axial spin symmetry can lead to so-called generic helical edge states, which have…

Mesoscale and Nanoscale Physics · Physics 2016-05-27 Laura Ortiz , Rafael A. Molina , Gloria Platero , Anders Mathias Lunde

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 helical edge states in a quantum spin Hall insulator are presumably protected by time- reversal symmetry. However, even in the presence of magnetic field which breaks time-reversal symmetry, the helical edge conduction can still exist,…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Hsiu-Chuan Hsu , Min-Jyun Jhang , Tsung-Wei Chen , Guang-Yu Guo

We propose a single-particle source which emits into the helical edge states of a two-dimensional quantum spin Hall insulator. Without breaking time-reversal symmetry, this source acts like a pair of noiseless single-electron emitters which…

Mesoscale and Nanoscale Physics · Physics 2014-01-03 Patrick P. Hofer , Markus Büttiker

Spin-momentum locking in a semiconductor device with strong spin-orbit coupling (SOC) is a fundamental goal of nanoscale spintronics and an important prerequisite for the formation of Majorana bound states. Such a helical state is predicted…

Mesoscale and Nanoscale Physics · Physics 2017-07-11 S. Heedt , N. Traverso Ziani , F. Crépin , W. Prost , St. Trellenkamp , J. Schubert , D. Grützmacher , B. Trauzettel , Th. Schäpers

We analyze the dynamics of the helical edge modes of a quantum spin Hall state in the presence of a spatially non-uniform Rashba spin-orbit (SO) interaction. A randomly fluctuating Rashba SO coupling is found to open a scattering channel…

Mesoscale and Nanoscale Physics · Physics 2010-07-01 Anders Ström , Henrik Johannesson , G. I. Japaridze

We study effects of a gate-controlled Rashba spin-orbit coupling to quantum spin-Hall edge states in HgTe quantum wells. A uniform Rashba coupling can be employed in tuning the spin orientation of the edge states while preserving the…

Mesoscale and Nanoscale Physics · Physics 2011-07-21 Jukka I. Väyrynen , Teemu Ojanen

We report a new type of phononic crystals with topologically non-trivial bandgaps for both longitudinal and transverse polarizations, resulting in protected one-way elastic edge waves. In our design, gyroscopic inertial effects are used to…

Mesoscale and Nanoscale Physics · Physics 2015-09-16 Pai Wang , Ling Lu , Katia Bertoldi

We propose and analyze inter-edge tunneling in a quantum spin Hall corner junction as a means to probe the helical nature of the edge states. We show that electron-electron interactions in the one-dimensional helical edge states result in…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Chang-Yu Hou , Eun-Ah Kim , Claudio Chamon

Helical liquids, formed by time-reversal pairs of interacting electrons in topological edge channels, provide a platform for stabilizing topological superconductivity upon introducing local and nonlocal pairings through the proximity…

Mesoscale and Nanoscale Physics · Physics 2024-09-26 Chen-Hsuan Hsu

We study electronic transport across a helical edge state exposed to a uniform magnetic ({$\vec B$}) field over a finite length. We show that this system exhibits Fabry-P\'erot type resonances in electronic transport. The intrinsic spin…

Mesoscale and Nanoscale Physics · Physics 2012-12-27 Abhiram Soori , Sourin Das , Sumathi Rao

Understanding possible mechanisms, which can lead to suppression of helical edge transport in Quantum Spin Hall (QSH) systems, attracted huge attention right after the first experiments revealing the fragility of the ballistic conductance.…

Mesoscale and Nanoscale Physics · Physics 2022-03-09 Oleg M. Yevtushenko , Vladimir I. Yudson

While the helical character of the edge channels responsible for charge transport in the quantum spin Hall regime of a two-dimensional topological insulator is by now well established, an experimental confirmation that the transport in the…