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We present a technique to map an electronic model with local interactions (a generalized multi-orbital Hubbard model) onto an effective model of interacting classical spins, by requiring that the thermodynamic potentials associated to spin…

Strongly Correlated Electrons · Physics 2015-05-27 Andrea Secchi , Alexander I. Lichtenstein , Mikhail I. Katsnelson

Strong interest has arisen recently on low-dimensional systems with strong spin-orbit interaction due to their peculiar properties of interest for some spintronic applications. Here, the time evolution of the electron spin polarization of a…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 C. Grimaldi

We use the Bogoliubov-de Gennes formalism and study the ground-state phases of trapped spin-orbit coupled Fermi gases in two dimensions. Our main finding is that the presence of a symmetric (Rashba type) spin-orbit coupling spontaneously…

Quantum Gases · Physics 2013-06-21 E. Doko , A. L. Subasi , M. Iskin

This work describes coherent states for a physical system governed by a Hamiltonian operator, in two dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential. The…

Mathematical Physics · Physics 2015-07-21 Isiaka Aremua , Mahouton Norbert Hounkonnou , Ezinvi Baloïtcha

Considering two-dimensional electron gases under a perpendicular magnetic field, we pinpoint a specific kind of long-range bipartite entanglement of the electronic motions. This entanglement is achieved through the introduction of bicomplex…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 T. Champel , D. Hernangómez-Pérez , S. Florens

We propose a simple model of two-dimensional N=2 superconformal mechanics with a spin-orbit interaction term and demonstrate that it inherits the Galilean symmetry of the initial free-particle system. We then propose a quaternionic…

High Energy Physics - Theory · Physics 2025-12-11 Sergey Krivonos , Armen Nersessian

We analytically evaluate charge and spin density response functions of the clean two-dimensional electron gas with Rashba spin-orbit coupling at finite momenta and frequencies. On the basis of our exact expressions we discuss the accuracy…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 M. Pletyukhov , S. Konschuh

We present an analysis of two-dimensional (2D) matter-wave solitons, governed by the pseudo-spinor system of Gross-Pitaevskii equations with self- and cross-attraction, which includes the spin-orbit coupling (SOC) in the general…

Quantum Gases · Physics 2016-09-20 Hidetsugu Sakaguchi , E. Ya. Sherman , Boris A. Malomed

A system of bosons in a two-dimensional harmonic trap in the presence of Rashba-type spin-orbit coupling is investigated. An analytic treatment of the ground state of a single atom in the weak-coupling regime is presented and used as a…

Quantum Gases · Physics 2020-04-29 Pere Mujal , Artur Polls , Bruno Juliá-Díaz

The electron Hamiltonian of narrow semiconductor rings with the Rashba and Dresselhaus spin orbit terms is invariant under time-reversal operation followed by a large gauge transformation. We find that all the eigenstates are doubly…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. -R. Eric Yang

We search for the uniform Hartree-Fock ground state of the two-dimensional electron gas formed in semiconductor heterostructures including the Rashba spin-orbit interaction. We identify two competing quantum phases: a ferromagnetic one with…

Mesoscale and Nanoscale Physics · Physics 2008-07-10 L. O. Juri , P. I. Tamborenea

We study spin dynamics in a two-dimensional electron gas with a pure gauge non-Abelian spin-orbit field, for which systems with balanced Rashba and Dresselhaus spin-orbit couplings, and the (110)-axis grown GaAs quantum wells are typical…

Mesoscale and Nanoscale Physics · Physics 2010-10-20 I. V. Tokatly , E. Ya. Sherman

The XY Heisenberg spin 1/2 chain is considered in the fermion representation. The construction of the ground state-vector is based on the group-theoretical approach. The exact expression for the ground state-vector will allow to study the…

Statistical Mechanics · Physics 2018-12-24 N. Bogoliubov , C. Malyshev

We study the phase diagram of the interacting two-dimensional electron gas (2DEG) with equal Rashba and Dresselhaus spin-orbit coupling, which for weak coupling gives rise to the well-known persistent spin-helix phase. We construct the full…

Mesoscale and Nanoscale Physics · Physics 2020-11-19 Hong Liu , Weizhe Edward Liu , Stefano Chesi , Robert Joynt , Dimitrie Culcer

We investigate theoretically electron spin states in one dimensional (1D) and two dimensional (2D) hard-wall mesoscopic rings in the presence of both the Rashba spin-orbit interaction (RSOI) and the Dresselhaus spin-orbit interaction (DSOI)…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 J. S. Sheng , Kai Chang

We address the electromagnetic properties of two-dimensional electron gas confined by a dielectric environment in the presence of both Rashba and Dresselhaus spin-orbit interactions. It is demonstrated that off-diagonal components of the…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Dmitry Yudin , Dmitry R. Gulevich , Ivan A. Shelykh

Spin-orbit coupling is a single-particle phenomenon known to generate topological order, and electron-electron interactions cause ordered many-body phases to exist. The rich interplay of these two mechanisms is present in a broad range of…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Weizhe Edward Liu , Stefano Chesi , David Webb , U. Zuelicke , R. Winkler , Robert Joynt , Dimitrie Culcer

Interacting one-dimensional conductors with Rashba spin-orbit coupling are shown to exhibit a spin-selective Peierls-type transition into a mixed spin-charge-density-wave state. The transition leads to a gap for one-half of the conducting…

Mesoscale and Nanoscale Physics · Physics 2010-08-03 Bernd Braunecker , George I. Japaridze , Jelena Klinovaja , Daniel Loss

The Rashba and Dresselhaus types of spin-orbit coupling are two typical linear coupling forms. We establish the fundamental physics of a model which can be viewed as the double version of the Rashba and Dresselhaus spin-orbit coupling. This…

Mesoscale and Nanoscale Physics · Physics 2022-04-15 Hu Zhang , Lulu Zhao , Chendong Jin , Ruqian Lian , Peng-Lai Gong , RuiNing Wang , JiangLong Wang , Xing-Qiang Shi

Spin dependent transport in a multi-terminal mesoscopic ring is investigated in presence of Rashba and Dresselhaus spin-orbit interactions. Within a tight-binding framework we use a general spin density matrix formalism to evaluate all…

Mesoscale and Nanoscale Physics · Physics 2013-10-31 Moumita Dey , Santanu K. Maiti , Sreekantha Sil , S. N. Karmakar
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