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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

Using group theory and Kane-like $\mathbf{k\cdot p}$ model together with the L\"owdining partition method, we derive the expressions of spin-orbit coupling of electrons and holes, including the linear-$k$ Rashba term due to the intrinsic…

Materials Science · Physics 2008-11-13 J. Y. Fu , M. W. Wu

Group theoretical methods and ${\bf k}\cdot{\bf p}$ theory are combined to determine spin-dependent contributions to the effective conduction band Hamiltonian. To obtain the constants in the effective Hamiltonian, in general all invariants…

Mesoscale and Nanoscale Physics · Physics 2017-06-12 Johannes Wanner , Ulrich Eckern , Karl-Heinz Höck

The Rashba, Dresselhaus, and Weyl Hamiltonians form a foundational framework for modeling spin-orbit interactions across condensed matter systems. Although they describe distinct material classes and produce seemingly different spin…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Manish Kumar Mohanta

The spin orbit interaction plays a crucial role in diverse fields of condensed matter, including the investigation of Majorana fermions, topological insulators, quantum information and spintronics. In III V zinc blende semiconductor…

Mesoscale and Nanoscale Physics · Physics 2014-08-25 A. Sasaki , S. Nonaka , Y. Kunihashi , M. Kohda , T. Bauernfeind , T. Dollinger , K. Richter , J. Nitta

The contribution of bulk inversion asymmetry to the total spin-orbit coupling is commonly neglected for group III-V nanowires grown in the generic [111] direction. We have solved the complete Hamiltonian of the circular nanowire accounting…

Mesoscale and Nanoscale Physics · Physics 2019-03-06 Andreas Bringer , Sebastian Heedt , Thomas Schäpers

The spin-orbit interaction of 2D electrons in the quantum wells grown from the III-V semiconductors consists of the two parts with different symmetry: the Bychkov-Rashba and the Dresselhaus terms. The last term is usually attributed to the…

Mesoscale and Nanoscale Physics · Physics 2017-03-07 P. S. Alekseev , M. O. Nestoklon

We re-express the Rashba and Dresselhaus interactions as non-Abelian spin-orbit gauges and provide a new perspective in understanding the persistent spin helix [Phys. Rev. Lett. 97, 236601 (2006)]. A spin-orbit interacting system can be…

Mesoscale and Nanoscale Physics · Physics 2008-03-21 Son-Hsien Chen , Ching-Ray Chang

We introduce an analytical approximation scheme to diagonalize parabolically confined two dimensional electron systems with both the Rashba and Dresselhaus spin-orbit interactions. The starting point of our perturbative expansion is a…

Mesoscale and Nanoscale Physics · Physics 2014-04-07 Sigurdur I. Erlingsson , J. Carlos Egues , Daniel Loss

Two-dimensional (2D) semiconductor structures of materials without inversion center (e.g. zinc-blende ${\rm A^{III}B^V}$) possess the zero-field conduction band spin-splitting (Dresselhaus term), which is linear and cubic in wavevector $k$,…

Mesoscale and Nanoscale Physics · Physics 2019-01-03 I. A. Kokurin

Silicene consists of a monolayer of silicon atoms in a buckled honeycomb structure. It was recently discovered that the symmetry of such a system allows for interesting Rashba spin-orbit effects. A perpendicular electric field is able to…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Florian Geissler , Jan Carl Budich , Björn Trauzettel

The paper reviews the interplay of Rashba/Dresselhaus spin splittings in various two dimensional systems made of III-V, wurtzite and SiGe. We discuss the symmetry aspects of the linear and cubic in electron wavevector spin splitting in…

Mesoscale and Nanoscale Physics · Physics 2013-10-16 S. D. Ganichev , L. E. Golub

Spin-orbit coupled electronic structure of two representative non-polar half-Heusler alloys, namely 18 electron compound CoZrBi and 8 electron compound SiLiIn have been studied in details. An excursion through the Brillouin zone of these…

Materials Science · Physics 2023-11-02 Kunal Dutta , Subhadeep Bandyopadhyay , Indra Dasgupta

We investigate the spin-orbit induced spin-interference pattern of ballistic electrons travelling along any regular polygon. It is found that the spin-interference depends strongly on the Rashba and Dresselhaus spin-orbit constants as well…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Marc J. van Veenhuizen , Takaaki Koga , Junsaku Nitta

Semiconductor-superconductor heterostructures represent a promising platform for the detection of Majorana zero modes and subsequently the processing of quantum information using their exotic non-Abelian statistics. Theoretical modeling of…

We study the coupling between collective variables of atomic spin and light polarization in an ensemble of cold 87Rb probed with polarized light. The effects of multiple hyperfine levels manifest themselves as a rank-2 tensor…

Quantum Physics · Physics 2008-03-12 S. R. de Echaniz , M. Koschorreck , M. Napolitano , M. Kubasik , M. W. Mitchell

We introduce a theoretical approach to determine the spin structure of harmonically trapped atoms with two-body zero-range interactions subject to an equal mixture of Rashba and Dresselhaus spin-orbit coupling created through Raman coupling…

Quantum Gases · Physics 2015-09-30 Q. Guan , D. Blume

When the Rashba and Dresslhaus spin-orbit coupling are both presented for a two-dimensional electron in a perpendicular magnetic field, a striking resemblance to anisotropic quantum Rabi model in quantum optics is found. We perform a…

Quantum Gases · Physics 2021-07-13 Rui Zhang , Yuan-Chuan Biao , Wen-Long You , Xiao-Guang Wang , Yu-Yu Zhang

Spin-orbit coupling is a manifestation of special relativity. In the reference frame of a moving electron, electric fields transform into magnetic fields, which interact with the electron spin and lift the degeneracy of spin-up and…

Mesoscale and Nanoscale Physics · Physics 2007-09-18 Lorenz Meier , Gian Salis , Ivan Shorubalko , Emilio Gini , Silke Schoen , Klaus Ensslin

An alternating electric field, applied to a quantum dot, couples to the electron spin via the spin-orbit interaction. We analyze different types of spin-orbit coupling known in the literature and find two efficient mechanisms of spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Vitaly N. Golovach , Massoud Borhani , Daniel Loss
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