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Semiconductor Rashba nanowires are quasi-one dimensional systems that have large spin-orbit (SO) coupling arising from a broken inversion symmetry due to an external electric field. There exist parametrized multiband models that can…

Mesoscale and Nanoscale Physics · Physics 2020-08-25 Samuel D. Escribano , Alfredo Levy Yeyati , Elsa Prada

Magnetic effects originating from spin-orbit coupling (SOC) have been attracting major attention. However, SOC contributions to the electron magnetic moment operator are conventionally disregarded. In this work, we analyze relativistic…

Mesoscale and Nanoscale Physics · Physics 2026-04-13 I. A. Ado , M. Titov , Rembert A. Duine , Arne Brataas

We revise the Kubo formula for the electric dc conductivity in the presence of spin-orbit coupling (SOC). We discover that each velocity operator that enters this formula differs from $\partial H/\partial \boldsymbol p$, where $H$ is the…

Mesoscale and Nanoscale Physics · Physics 2024-03-12 I. A. Ado , M. Titov , Rembert A. Duine , Arne Brataas

Spin-orbit coupling (SOC) is a relativistic effect, where an electron moving in an electric field experiences an effective magnetic field in its rest frame. In crystals without inversion symmetry, it lifts the spin degeneracy and leads to…

We use $\vec{k}\cdot\vec{p}$ theory to estimate the Rashba spin-orbit coupling (SOC) in large semiconductor nanowires. We specifically investigate GaAs- and InSb-based devices with different gate configurations to control symmetry and…

Mesoscale and Nanoscale Physics · Physics 2018-04-11 Paweł Wójcik , Andrea Bertoni , Guido Goldoni

A key concept in the field of semiconductor spintronics is an electric field control of spins via the spin-orbit coupling (SOC) and the SOC strength governs efficiency of this control. We propose a new approach that allows the experimental…

Mesoscale and Nanoscale Physics · Physics 2016-01-06 I. A. Kokurin

When focusing on a few essential bands in an effective description of a material to calculate observable quantities, the respective operators have to be adjusted accordingly. Ignoring contributions arising from integrating out remote bands…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 K. V. Samokhin , M. Sigrist , M. H. Fischer

Spin-orbit coupling (SOC) drives interesting and non-trivial phenomena in solid state physics, ranging from topological to magnetic to transport properties. Thorough study of such phenomena often require effective models where SOC term is…

Materials Science · Physics 2024-07-09 Qiangqiang Gu , Shishir Kumar Pandey

We formulate the effective Hamiltonian of Rashba spin-orbit coupling (RSOC) in $\mathrm{LaAlO_3/SrTiO_3}$ (LAO/STO) heterostructures. We derive analytical expressions of properties, e.g., Rashba parameter, effective mass, band edge energy…

Mesoscale and Nanoscale Physics · Physics 2020-06-18 Cong Son Ho , Weilong Kong , Ming Yang , Andrivo Rusydi , Mansoor B. A. Jalil

We investigate the spin-orbit coupling (SOC) effects on the electronic structures and semi-classic transport coefficients of half-Heusler $\mathrm{ANiB}$ (A=Ti, Hf, Sc, Y; B=Sn, Sb, Bi) by using generalized gradient approximation (GGA).…

Materials Science · Physics 2015-12-25 San-Dong Guo

Recently, we have found an additional spin-orbit (SO) interaction in quantum wells with two subbands [Phys. Rev. Lett. 99, 076603 (2007)]. This new SO term is non-zero even in symmetric geometries, as it arises from the intersubband…

Mesoscale and Nanoscale Physics · Physics 2008-10-20 Rafael S. Calsaverini , Esmerindo Bernardes , J. Carlos Egues , Daniel Loss

Effective spin-orbit (SO) Hamiltonians for conduction electrons in wurtzite heterostructures are lacking in the literature, in contrast to zincblende structures. Here we address this issue by deriving such an effective Hamiltonian valid for…

Mesoscale and Nanoscale Physics · Physics 2020-04-22 J. Y. Fu , P. H. Penteado , D. R. Candido , G. J. Ferreira , D. P. Pires , E. Bernardes , J. C. Egues

We derive a pseudopotential in two dimensions (2D) with the presence of a 2D Rashba spin-orbit-coupling (SOC), following the same spirit of frame transformation in {[}Phys. Rev. A 95, 020702(R) (2017){]}. The frame transformation correctly…

Quantum Gases · Physics 2022-02-14 Christiaan R. Hougaard , Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu , Jia Wang

The single particle equations describing motion of carriers in external potential in 2D Dirac-like and Kane intrinsic semiconductors are obtained within second quantization method. The terms renormalizing external potential in these…

Mesoscale and Nanoscale Physics · Physics 2014-03-19 E. L. Rumyantsev , P. E. Kunavin

Spin orbit coupling (SOC) is the key to realizing time-reversal invariant topological phases of matter. Famously, SOC was predicted by Kane and Mele to stabilize a quantum spin Hall insulator; however, the weak intrinsic SOC in monolayer…

The Hermitian Hamiltonian of a spin one-half particle with spin-orbit coupling (SOC) confined to a surface that is embedded in a three-dimensional space spanned by a general Orthogonal Curvilinear Coordinate (OCC) is constructed. A gauge…

Mesoscale and Nanoscale Physics · Physics 2016-05-04 M. S. Shikakhwa , N. Chair

We derive an effective Hamiltonian which describes the dynamics of electrons in the conduction band of transition metal dichalcogenides (TMDC) in the presence of perpendicular electric and magnetic fields. We discuss in detail both the…

Mesoscale and Nanoscale Physics · Physics 2014-03-18 Andor Kormányos , Viktor Zólyomi , Neil D. Drummond , Guido Burkard

The reciprocal interconversion between spin polarization and charge current (CSC) is the focus of intensive theoretical and experimental investigation in spintronics research. Its physical origin stems from the Rashba spin-orbit coupling…

Mesoscale and Nanoscale Physics · Physics 2025-02-06 Gerson J. Ferreira , Boyu Wang , Jiyong Fu , Roberto Raimondi

We study the effect of Rashba spin-orbit coupling (SOC) on the charge and spin degrees of freedom of a quasi-one-dimensional (quasi-1D) Wigner crystal. As electrons in a quasi-1D Wigner crystal can move in the transverse direction, SOC…

Mesoscale and Nanoscale Physics · Physics 2017-01-20 Viktoriia Kornich , Christopher J. Pedder , Thomas L. Schmidt

We introduce a neural-network-based machine learning method to predict the effective spin-orbit coupling (SOC) strength in hole quantum dot arrays from standard charge stability diagrams. Specifically, we study a $2\times 2$ Ge hole quantum…

Mesoscale and Nanoscale Physics · Physics 2026-04-08 Jacob R. Taylor , Katharina Laubscher , Sankar Das Sarma
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