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The model of Composite Fermions for describing interacting electrons in two dimensions in the presence of a magnetic field is described. In this model, charged Fermions are combined with an even number of magnetic flux quanta in such a way…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 B. Kramer , N. Magnoli , E. Mariani , M. Merlo , F. Napoli , M. Sassetti

Focusing on the efficient probe and manipulation of single-particle spin states, we investigate the coupled spin and orbital dynamics of a spin 1/2 particle in a harmonic potential subject to ultrastrong spin-orbit interaction and external…

Mesoscale and Nanoscale Physics · Physics 2014-01-21 C. Echeverria-Arrondo , E. Ya. Sherman

The spin-orbit interaction in a focused-reflected beam of light results in spatially non-uniform polarization in the beam cross-section due to the superposition of orthogonal field components and polarization-dependent interface reflection…

Optics · Physics 2024-10-02 Upasana Baishya , Nirmal K. Viswanathan

One-dimensional quantum rings with Rashba and Dresselhaus spin-orbit couplings are studied analytically and are in perfect agreement with the numerical results. The topological charge of the spin field defined by the winding number along…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Shenglin Peng , Wenchen Luo , Fangping Ouyang , Tapash Chakraborty

We study the dynamics of the collision between two fermions in Hubbard model with on-site interaction strength $U$. The exact solution shows that the scattering matrix for two-wavepacket collision is separable into two independent parts,…

Quantum Physics · Physics 2016-01-07 X. Z. Zhang , Z. Song

We use finite connectivity equilibrium replica theory to solve models of finitely connected unit-length vectorial spins, with random pair-interactions which are of the orthogonal matrix type. Since the spins are continuous and the…

Disordered Systems and Neural Networks · Physics 2009-11-11 A. Coolen , N. S. Skantzos , I. Perez Castillo , C. J. Perez Vicente , J. P. L. Hatchett , B. Wemmenhove , T. Nikoletopoulos

Spins of relativistic fermions are related to their orbital degrees of freedom. In order to quantify the effect of hybridization between relativistic and nonrelativistic degrees of freedom on spin-orbit coupling, we focus on the…

Mesoscale and Nanoscale Physics · Physics 2021-05-12 Yasufumi Araki , Daiki Suenaga , Kei Suzuki , Shigehiro Yasui

We predict the existence of chiral spin waves collective modes in a two-dimensional Fermi liquid with the Rashba or Dresselhaus spin-orbit coupling. Starting from the phenomenological Landau theory, we show that the long-wavelength dynamics…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Ali Ashrafi , Dmitrii L. Maslov

To describe the spin-orbital energy gap formation in the one-dimensional symmetrically coupled spin-orbital model, we propose a simple mean field theory based on an SU(4) constraint fermion representation of spins and orbitals. A…

Condensed Matter · Physics 2013-01-24 Guang-Ming Zhang , Hu Hui , Lu Yu

A collective spin model is used to describe two species of mutually interacting ultracold bosonic atoms confined to a toroidal trap. The system is modeled by a Hamiltonian that can be split into two components, a linear part and a quadratic…

Quantum Gases · Physics 2024-06-05 Allison Brattley , Tomáš Opatrný , Kunal K. Das

We present a comprehensive table of recurrence and differential relations obeyed by spin one-half spherical spinors (spinor spherical harmonics) $\Omega_{\kappa\mu}(\mathbf{n})$ used in relativistic atomic, molecular, and solid state…

Mathematical Physics · Physics 2011-05-25 Radosław Szmytkowski

Recently, we have introduced a novel inter-subband-induced spin-orbit (s-o) coupling [Phys. Rev. Lett. 99, 076603 (2007); cond-mat/0607218] arising in \textit{symmetric} wells with at least two subbands. This new s-o coupling gives rise to…

Mesoscale and Nanoscale Physics · Physics 2007-08-24 Esmerindo Bernardes , John Schliemann , J. Carlos Egues , Daniel Loss

Interacting Fermi gases with spin-orbit coupling are responsible for many intriguing phenomena such as topological superfluids and Majorana fermions. Here we characterize theoretically fermionic pairing in a strongly interacting spin-orbit…

Quantum Gases · Physics 2013-03-15 Hui Hu , Han Pu , Jing Zhang , Xia-Ji Liu

We use spin- and angle-resolved photoemission spectroscopy (SARPES) combined with polarization-variable laser and investigate the spin-orbit coupling effect under interband hybridization of Rashba spin-split states for the surface alloys…

Materials Science · Physics 2017-01-26 Ryo Noguchi , Kenta Kuroda , K. Yaji , K. Kobayashi , M. Sakano , A. Harasawa , Takeshi Kondo , F. Komori , S. Shin

We report the coherent coupling of two electron spins at a distance via virtual microwave photons. Each spin is trapped in a silicon double quantum dot at either end of a superconducting resonator, achieving spin-photon couplings up to…

Mesoscale and Nanoscale Physics · Physics 2022-05-13 Patrick Harvey-Collard , Jurgen Dijkema , Guoji Zheng , Amir Sammak , Giordano Scappucci , Lieven M. K. Vandersypen

The coupling between the spin degrees of freedom and the orbital angular momentum has a profound effect on the properties of nuclei, atoms and condensed matter systems. Recently, synthetic gauge fields have been realized experimentally in…

Quantum Gases · Physics 2015-06-18 X. Y. Yin , S. Gopalakrishnan , D. Blume

Spin-orbit coupling in solids is typically a single-body effect arising from relativity. In this work, we propose a spontaneous generation of spin-orbit coupling from symmetry breaking. A spin-dependent electron-phonon coupling model is…

Strongly Correlated Electrons · Physics 2024-10-23 Xiangyu Zhang , Da Wang , Congjun Wu

Effects of the spin-orbit interactions on the energy spectrum, Fermi surface and spin dynamics are studied in structural- and bulk-inversion asymmetric quasi-two-dimensional structures with a finite thickness in the presence of a parabolic…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 E. Nakhmedov , O. Alekperov , R. Oppermann

We consider a two-dimensional system of harmonically trapped particles with pseudo-spin-$\frac{1}{2}$ degree of freedom. This degree of freedom is coupled to the particle's momentum via the so-called Rashba spin-orbit interaction. We…

We study the magnetic properties of the adatom systems on a semiconductor surface Si(111):\{C,Si,Sn,Pb\} - ($\sqrt{3} \times \sqrt{3}$). On the basis of all-electron density functional theory calculations we construct effective low-energy…

Strongly Correlated Electrons · Physics 2016-12-28 D. I. Badrtdinov , S. A. Nikolaev , M. I. Katsnelson , V. V. Mazurenko