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We consider a Rashba spin-orbit coupled nanowire with anisotropic spin-singlet superconducting pairing and time-reversal-invariant symmetry. We explore the evolution of the topological superconducting phases of this system due to geometric…

Superconductivity · Physics 2020-03-11 Gianluca Francica , Mario Cuoco , Paola Gentile

Symmetry-protected edge states serve as direct evidence of nontrivial electronic topology in atomically thin materials. Finding these states in experimentally realizable single-phase materials presents a substantial challenge for their use…

Materials Science · Physics 2024-10-10 Rahul Verma , Shin-Ming Huang , Bahadur Singh

Strong spin-orbit coupling can have a profound effect on the electronic structure in a metal or semiconductor, particularly for low electron concentrations. We show how, for small values of the Fermi energy compared to the spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 E. Cappelluti , C. Grimaldi , F. Marsiglio

We derive an effective continuum model for describing the propagation of electrons in ballistic one-dimensional curved nanostructure which are marked by a strong interplay of spin-orbital degrees of freedom due to local electronic states…

Mesoscale and Nanoscale Physics · Physics 2019-12-19 G. Francica , P. Gentile , M. Cuoco

We theoretically investigate the engineering of two-dimensional second-order topological insulators with corner states by coupling two first-order topological insulators. We find that the interlayer coupling between two topological…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Lizhou Liu , Jiaqi An , Yafei Ren , Yingtao Zhang , Zhenhua Qiao , Qian Niu

Topological materials hosting metallic edges characterized by integer quantized conductivity in an insulating bulk have revolutionized our understanding of transport in matter. The topological protection of these edge states is based on…

Mesoscale and Nanoscale Physics · Physics 2024-12-03 R. Canyellas , Chen Liu , R. Arouca , L. Eek , Guanyong Wang , Yin Yin , Dandan Guan , Yaoyi Li , Shiyong Wang , Hao Zheng , Canhua Liu , Jinfeng Jia , C. Morais Smith

We investigate the properties of the two-dimensional model with Rashba-type spin-orbit coupling cubic in electron momentum. In the normal phase, edge states emerge on open boundaries. In the superconducting phase, edge states could evolve…

Superconductivity · Physics 2024-02-06 Haijiao Ji , Ning Zhang , Noah F. Q. Yuan

We demonstrate that the interplay between structural geometry and Rashba spin-orbit coupling generates nontrivial topological phases in honeycomb nanoribbon heterostructures. We consider an armchair nanoribbon in which a Rashba spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Hao-Ru Wu , Jhih-Shih You , Yiing-Rei Chen , Hong-Yi Chen

Topological insulators represent a new class of quantum phase defined by invariant symmetries and spin-orbit coupling that guarantees metallic Dirac excitations at its surface. The discoveries of these states have sparked the hope of…

Mesoscale and Nanoscale Physics · Physics 2013-06-10 Tanmoy Das , A. V. Balatsky

We construct a three-dimensional second-order topological insulator with gapless helical hinge states from an array of weakly tunnel-coupled Rashba nanowires. For suitably chosen interwire tunnelings, we demonstrate that the system has a…

Mesoscale and Nanoscale Physics · Physics 2023-04-18 Katharina Laubscher , Pim Keizer , Jelena Klinovaja

We study the ground-state properties of electrons confined to a quantum wire and subject to a smoothly modulated Rashba spin-orbit coupling. When the period of the modulation becomes commensurate with the band filling, the Rashba coupling…

Mesoscale and Nanoscale Physics · Physics 2009-07-28 G. I. Japaridze , Henrik Johannesson , Alvaro Ferraz

We present analysis of a single channel interacting quantum wire problem in the presence of spin-orbit interaction. The spin-orbit coupling breaks the spin-rotational symmetry from SU(2) to U(1) and breaks inversion symmetry. The low-energy…

Mesoscale and Nanoscale Physics · Physics 2015-07-28 Nikolaos Kainaris , Sam T. Carr

Kane and Mele predicted that in presence of spin-orbit interaction graphene realizes the quantum spin Hall state. However, exceptionally weak intrinsic spin-orbit splitting in graphene ($\approx 10^{-5}$ eV) inhibits experimental…

Mesoscale and Nanoscale Physics · Physics 2013-06-18 Gabriel Autès , Oleg V. Yazyev

The spin-orbit interaction affects the electronic structure of solids in various ways. Topological insulators are one example where the spin-orbit interaction leads the bulk bands to have a non-trivial topology, observable as gapless…

Materials Science · Physics 2012-02-15 M. S. Bahramy , B. -J. Yang , R. Arita , N. Nagaosa

The existence of edge states and zero energy modes in vortex cores is a hallmark of topologically nontrivial phases realized in various condensed matter systems such as the fractional quantum Hall states, p+ip superconductors, and Z_2…

Superconductivity · Physics 2009-04-03 Masatoshi Sato , Satoshi Fujimoto

We investigate the spectrum of finite-length carbon nanotubes in the presence of onsite and nearest-neighbor superconducting pairing terms. A one-dimensional ladder-type lattice model is developed to explore the low-energy spectrum and the…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 W. Izumida , L. Milz , M. Marganska , M. Grifoni

The edge states of two-dimensional time-reversal topological insulators support a perfect helical conductance on wide ribbons due to the absence of backscattering. Here, we study the changes in the transport properties of topological…

Mesoscale and Nanoscale Physics · Physics 2021-05-17 R. P. Maciel , A. L. Araújo , C. H. Lewenkopf , G. J. Ferreira

Topological states of matter are robust quantum phases, characterised by propagating or localised edge states in an insulating bulk. Topological boundary states can be triggered by various mechanisms, for example by strong spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 S. E. Freeney , J. J. van den Broeke , A. J. J. Harsveld van der Veen , I. Swart , C. Morais Smith

The production of spin-polarized currents in pristine carbon nanotubes with Rashba spin-orbit interaction has been shown to be very sensitive to the symmetry of the tubes and the geometry of the setup. Here we analyze the role of defects on…

Mesoscale and Nanoscale Physics · Physics 2017-10-11 Hernán Santos , Leonor Chico , J. E. Alvarellos , A. Latgé

We consider a model for a one-dimensional quantum wire with Rashba spin-orbit coupling and repulsive interactions, proximity coupled to a conventional s-wave superconductor. Using a combination of Hartree-Fock and density matrix…

Mesoscale and Nanoscale Physics · Physics 2015-04-30 Arbel Haim , Anna Keselman , Erez Berg , Yuval Oreg
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