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Helical states can be measured through the observation of the reentrant behaviour, which is a dip in the conductance probed in semiconducting nanowires (NWs) with strong spin-orbit coupling (SOC) under the presence of an external…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Iann Cunha , Leonardo Villegas-Lelovsky , Leonardo Kleber Castelano

Spin-helical states, which arise in quasi-one-dimensional (1D) channels with spin-orbital (SO) coupling, underpin efforts to realize topologically-protected quantum bits based on Majorana modes in semiconductor nanowires. Detecting helical…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Zedong Yang , Paul A. Crowell , Vlad S. Pribiag

The motion of an electron and its spin are generally not coupled. However in a one dimensional material with strong spin-orbit interaction (SOI) a helical state may emerge at finite magnetic fields, where electrons of opposite spin will…

The characterization of helical states can be performed by checking the existence of the re-entrant behaviour, which appears as a dip in the conductance probed in nanowires (NWs) with strong spin-orbit coupling (SOC) and under perpendicular…

Mesoscale and Nanoscale Physics · Physics 2020-11-25 Iann Cunha , Leonardo Villegas-Lelovsky , Victor Lopez-Richard , Leonardo Kleber Castelano

The helical state is a fundamental prerequisite for many spintronics applications and Majorana zero mode engineering in nanoscopic semiconductors. Its existence in quasi-one-dimensional nanowires was predicted to be detectable as a…

Mesoscale and Nanoscale Physics · Physics 2021-09-15 P. Wójcik , D. Sticlet , P. Szumniak , M. P. Nowak

Low dimensional semiconducting structures with strong spin-orbit interaction (SOI) and induced superconductivity attracted much interest in the search for topological superconductors. Both the strong SOI and hard superconducting gap are…

Semiconductors with strong spin-orbit interactions can exhibit a helical gap with spin-momentum locking opened by a magnetic field. Such a gap is highly spin selective as a result of a topologically protected spin-momentum locking, which…

Mesoscale and Nanoscale Physics · Physics 2020-08-06 Jian Sun , Russell S. Deacon , Xiaochi Liu , Jun Yao , Koji Ishibashi

We consider the superconducting proximity effect in a helical Luttinger liquid at the edge of a 2D topological insulator, and derive the low-energy Hamiltonian for an edge state tunnel-coupled to a s-wave superconductor. In addition to…

Mesoscale and Nanoscale Physics · Physics 2012-01-23 Pauli Virtanen , Patrik Recher

A partially gapped spectrum due to the application of a magnetic field is one of the main probes of Rashba spin-orbit coupling in nanowires. Such a "helical gap" manifests itself in the linear conductance, as well as in dynamic response…

Mesoscale and Nanoscale Physics · Physics 2016-12-21 Christopher Pedder , Tobias Meng , Rakesh P. Tiwari , Thomas L. Schmidt

Signatures of Majorana zero modes (MZMs), which are the building blocks for fault-tolerant topological quantum computing, have been observed in semiconductor nanowires (NW) with strong spin-orbital-interaction (SOI), such as InSb and InAs…

Mesoscale and Nanoscale Physics · Physics 2020-05-15 Zedong Yang , Brett Heischmidt , Sasa Gazibegovic , Ghada Badawy , Diana Car , Paul A. Crowell , Erik P. A. M. Bakkers , Vlad S. Pribiag

Recent work on Majorana-bound states in semiconductor-superconductor hybrid structures has elucidated the key role of unintentional (and unknown) disorder (producing low-energy Andreev-bound states) in the system, which is detrimental to…

Mesoscale and Nanoscale Physics · Physics 2026-03-31 Haining Pan , Jacob R. Taylor , Jay D. Sau , Sankar Das Sarma

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

One-dimensional helical liquids can appear at boundaries of certain condensed matter systems. Two prime examples are the edge of a quantum spin Hall insulator and the hinge of a three-dimensional second-order topological insulator. For…

Mesoscale and Nanoscale Physics · Physics 2022-10-31 Chen-Hsuan Hsu , Peter Stano , Jelena Klinovaja , Daniel Loss

Nanowires with helical surface states represent key prerequisites for observing and exploiting phase-coherent topological conductance phenomena, such as spin-momentum locked quantum transport or topological superconductivity. We demonstrate…

The interplay of superconductivity with a non-trivial spin texture holds promises for the engineering of non-abelian Majorana quasi-particles. A wide class of systems expected to exhibit exotic correlations are based on nanoscale conductors…

The discovery of three-dimensional (3D) topological insulators opens a gateway to generate unusual phases and particles made of the helical surface electrons, proposing new applications using unusual spin nature. Demonstration of the…

Mesoscale and Nanoscale Physics · Physics 2014-04-04 Seung Sae Hong , Yi Zhang , Judy J. Cha , Xiao-Liang Qi , Yi Cui

Electronic spin-orbit coupling (SOC) is essential for various newly discovered phenomena in condensed-matter systems. In particular, one-dimensional topological heterostructures with SOC have been widely investigated in both theory and…

Superconductivity · Physics 2015-04-21 Kuei Sun , Nayana Shah

The effect of the Rashba spin orbit coupling (RSOC) on the topological properties of the one-dimensional (1D) extended $s$-wave superconducting Hamiltonian, in the presence of strong electron-electron correlation, is investigated. It is…

Strongly Correlated Electrons · Physics 2025-06-13 Kaushal Kumar Kesharpu , Evgenii A. Kochetov , Alvaro Ferraz

Proposals for studying topological superconductivity and Majorana bound states in nanowires proximity coupled to superconductors require that transport in the nanowire is ballistic. Previous work on hybrid nanowire-superconductor systems…

Mesoscale and Nanoscale Physics · Physics 2016-12-07 S. T. Gill , J. Damasco , D. Car , E. P. A. M. Bakkers , N. Mason

We study analytically and numerically spin effects in MoS_2 monolayer armchair quantum wires and quantum dots. The interplay between intrinsic and Rashba spin orbit interactions induced by an electric field leads to helical modes, giving…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 Jelena Klinovaja , Daniel Loss
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