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We discuss how to recognize the constellations seen in the Majorana representation of quantum states. Then we give explicit formulas for the metric and symplectic form on SU(2) orbits containing general number states. Their metric and…

Quantum Physics · Physics 2015-06-18 Anna Baecklund , Ingemar Bengtsson

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 analyse the interplay between Dresselhaus, Bychkov-Rashba, and Zeeman interactions in a two-dimensional semiconductor quantum system under the action of a magnetic field. When a vertical magnetic field is considered, we predict that the…

Mesoscale and Nanoscale Physics · Physics 2015-06-25 Manuel Valin-Rodriguez , Rashid G. Nazmitdinov

Due to the recent experimental progress, tunable spin-orbit (SO) interactions represent ideal candidates for the control of polarization and dynamical spin properties in both quantum wells and cold atomic systems. A detailed understanding…

Quantum Gases · Physics 2016-09-05 Alberto Ambrosetti , Luca Salasnich , Pier Luigi Silvestrelli

It is an easily deduced fact that any four-component spin 1/2 state for a massive particle is a linear combination of pairs of two-component simultaneous rotation eigenstates, where `simultaneous' means the eigenspinors of a given pair…

Quantum Physics · Physics 2007-05-23 Richard Shurtleff

We extend the Mermin-Wagner theorem to a system of lattice spins which are spin-coupled to itinerant and interacting charge carriers. We use the Bogoliubov inequality to rigorously prove that neither (anti-) ferromagnetic nor helical…

Mesoscale and Nanoscale Physics · Physics 2011-09-09 Daniel Loss , Fabio L. Pedrocchi , Anthony J. Leggett

We present calculations of the frequency-dependent spin susceptibility tensor of a two-dimensional electron gas with competing Rashba and Dresselhaus spin-orbit interaction. It is shown that the interplay between both types of spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Catalina López-Bastidas , Jesús A. Maytorena , Francisco Mireles

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

Spin-orbit coupling with bosons gives rise to novel properties that are absent in usual bosonic systems. Under very general conditions, the conventional ground state wavefunctions of bosons are constrained by the "no-node" theorem to be…

Quantum Gases · Physics 2013-06-27 Xiangfa Zhou , Yi Li , Zi Cai , Congjun Wu

We study the local equilibrium properties of two-dimensional electron gases at high magnetic fields in the presence of random smooth electrostatic disorder, Rashba spin-orbit coupling, and the Zeeman interaction. Using a systematic magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-04-29 Daniel Hernangomez-Perez , Serge Florens , Thierry Champel

The z axis magnetization of a two dimensional electron gas with contact repulsive interaction and in presence of a Rashba potential is computed by means of quantum field theory at second order. A striking effect of the pure Rashba…

Mesoscale and Nanoscale Physics · Physics 2011-12-21 Alberto Ambrosetti , Pier Luigi Silvestrelli , Flavio Toigo

We study theoretically the ground states of topological defects in a spinor four-component condensate of cold indirect excitons. We analyze possible ground state solutions for different configurations of vortices and half-vortices. We show…

Mesoscale and Nanoscale Physics · Physics 2014-01-15 H. Sigurdsson , T. C. H. Liew , O. Kyriienko , I. A. Shelykh

The electronic self-energy is studied for a two dimensional electron gas coupled to a spin-orbit Rashba field and interacting with dispersionless phonons. For the case of a momentum independent electron-phonon coupling (Holstein model) we…

Strongly Correlated Electrons · Physics 2009-11-13 E. Cappelluti , C. Grimaldi , F. Marsiglio

We show that a result equivalent to Overhauser's famous Hartree-Fock instability theorem can be established for the case of a two-dimensional electron gas in the presence of Rashba spin-obit coupling. In this case it is the spatially…

Mesoscale and Nanoscale Physics · Physics 2010-08-12 George E. Simion , Gabriele F. Giuliani

In this work, we investigate the possible dramatic effects of Rashba or Dresselhaus spin-orbit coupling (SOC) on fermionic Hubbard model in a 2d square lattice. In the strong coupling limit, it leads to the Rotated Anti-ferromagnetic…

Strongly Correlated Electrons · Physics 2017-08-30 Fadi Sun , Jinwu Ye , Wu-Ming Liu

We study interacting Rashba-Dresselhaus fermions in two spatial dimensions. First, we present a new exact solution to the two-particle pairing problem of spin-orbit-coupled fermions for arbitrary Rashba and Dresselhaus spin-orbit…

Quantum Gases · Physics 2013-10-16 So Takei , Chien-Hung Lin , Brandon M. Anderson , Victor Galitski

We consider a particle moving on a 2-sphere in the presence of a constant magnetic field. Building on earlier work in the nonmagnetic case, we construct coherent states for this system. The coherent states are labeled by points in the…

Mathematical Physics · Physics 2015-06-03 Brian C. Hall , Jeffrey J. Mitchell

The beating pattern of Shubnikov-de Haas oscillations in 2D electron system in the presence of a Rashba zero-field spin splitting is reproduced. It is shown, taking into account the Zeeman splitting, that the explicit formulae for the node…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. V. Cheremisin , A. S. Furman

We study harmonically trapped one-dimensional atoms subjected to an equal combination of Rashba and Dresselhaus spin-orbit coupling induced by Raman transition. We first examine the wave function and the degeneracy of the single-particle…

Quantum Gases · Physics 2016-09-27 Chuanzhou Zhu , Lin Dong , Han Pu

We explore the two-body spectra of spin-$1/2$ fermions in isotropic harmonic traps with external spin-orbit potentials and short range two-body interactions. Using a truncated basis of total angular momentum eigenstates, non-perturbative…

Quantum Gases · Physics 2015-04-16 Cory D. Schillaci , Thomas C. Luu