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Spin-orbit coupling (SOC) is pivotal for various fundamental spin-dependent phenomena in solids and their technological applications. In semiconductors, these phenomena have been so far studied in relatively weak electron-electron…

Mesoscale and Nanoscale Physics · Physics 2021-06-09 D. Maryenko , M. Kawamura , A. Ernst , V. K. Dugaev , E. Ya. Sherman , M. Kriener , M. S. Bahramy , Y. Kozuka , M. Kawasaki

Solution of the Dirac equation predicts that when an electron with non-zero orbital angular momentum propagates in a cylindrically symmetric potential, its spin and orbital degrees of freedom interact, causing the electron's phase velocity…

Quantum Physics · Physics 2009-09-23 C. C. Leary , D. Reeb , M. G. Raymer

The compressibility of a two-dimensional electron system with spin in a spatially correlated random potential and a quantizing magnetic field is investigated. Electron-electron interaction is treated with the Hartree-Fock method. Numerical…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Alexander Struck , Bernhard Kramer

We discuss the problem of spin-orbit interaction in a 2D chaotic or diffusive quantum dot in the presence of exchange correlations. Spin-orbit scattering breaks spin rotation invariance, and in the crossover regime between different…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Hakan E. Tureci , Y. Alhassid

The near-exact iCIPT2 approach for strongly correlated systems of electrons, which stems from the combination of iterative configuration interaction (iCI, an exact solver of full CI) with configuration selection for static correlation and…

Chemical Physics · Physics 2022-04-13 Ning Zhang , Yunlong Xiao , Wenjian Liu

Disorder in spin-orbit (SO) coupling is an important feature of real low-dimensional electron structures. We study spin relaxation due to such a disorder as well as resulting abilities of spin manipulation. The spin relaxation reveals…

Mesoscale and Nanoscale Physics · Physics 2009-09-03 V. K. Dugaev , E. Ya. Sherman , V. I. Ivanov , J. Barnas

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

A spin-rotation-invariant Green's-function theory of long-range and short-range order (SRO) in the $S=1/2$ antiferromagnetic Heisenberg model with spatially anisotropic couplings on a simple cubic lattice is presented. The staggered…

Strongly Correlated Electrons · Physics 2009-10-31 L. Siurakshina , D. Ihle , R. Hayn

We propose a new route to generate an interband Dzyaloshinskii-Moriya interaction in metals from solely microscopic perspective. The system consists of conduction band electrons in the presence of the Rashba spin-orbit coupling which are…

Strongly Correlated Electrons · Physics 2024-12-03 Fırat Yılmaz

Spin-orbit (SO) interaction critically influences electron spin dynamics and spin transport in bulk semiconductors and semiconductor microstructures. This interaction couples electron spin to dc and ac electric fields. Spin coupling to ac…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Emmanuel I. Rashba

Single particle spin-orbit interaction energy problem in nuclear shell structure is solved through negative harmonic oscillator in the self-similar-structure shell model (SSM) [4] and considering quarks' contributions on single particle…

Nuclear Theory · Physics 2012-03-01 Xiaobin Wang , Zhengda Wang , Xiaochun Wang , Xiaodong Zhang

We consider circular and elliptic quantum dots with parabolic external confinement, containing 0 - 22 electrons and with values of r_s in the range 0 < r_s < 3. We perform restricted and unrestricted Hartree-Fock calculations, and further…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Clare Sloggett , Oleg Sushkov

Recent interest in orbital angular momentum has led to a rapid expansion of research on spin-orbit coupling effects in solids, while also highlighting significant technical challenges. The breaking of rotational symmetry renders the orbital…

Mesoscale and Nanoscale Physics · Physics 2025-07-16 Bumseop Kim , Noejung Park , Kyoung-Whan Kim

We review the theoretical description of spin-orbit scattering and electron spin resonance in carbon nanotubes. Particular emphasis is laid on the effects of electron-electron interactions. The spin-orbit coupling is derived, and the…

Strongly Correlated Electrons · Physics 2012-09-27 A. De Martino , R. Egger , F. Murphy-Armando , K. Hallberg

The effect of the spin-orbit coupling on the ground state properties of the square-lattice three-band Hubbard model with a single electron per site is studied by a generalized Hartree-Fock approximation. We calculate the full phase diagram…

Strongly Correlated Electrons · Physics 2024-09-30 Petr A. Igoshev , Danil E. Chizhov , Valentin Yu. Irkhin , Sergey V. Streltsov

Spin-orbit coupling (SOC) in noncentrosymmetric materials is the source of incommensurate magnetic structures. In semiconductors, it drives the Rashba spin splitting and spin momentum locking, while in magnetic insulators based on…

Strongly Correlated Electrons · Physics 2026-01-08 Ryo Makuta , Chisa Hotta

This study introduces a method to measure strength of spin-orbit interaction (SO) in a nanomagnet, investigating fundamental phenomena governing magnetic anisotropy. The method explores the fundamental property of SO in its linear…

Mesoscale and Nanoscale Physics · Physics 2024-07-11 Vadym Zayets

We review recent theoretical developments about the role of spins, electron-electron interactions, and spin-orbit coupling in metal nanoparticles and semiconductor quantum dots. For a closed system, in the absence of spin-orbit coupling or…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuval Oreg , P. W. Brouwer , X. Waintal , Bertrand I. Halperin

We consider an electron confined in a gated nanowire quantum dot (NQD) with arbitrarily strong spin-orbit coupling (SOC) and weak static magnetic field, and treat the latter as a perturbation to seek the maximal spin-motion entangled states…

Mesoscale and Nanoscale Physics · Physics 2024-04-23 Kuo Hai , Xuefang Deng , Qiong Chen , Wenhua Hai

A first-principles theory of resonant magnetic scattering of x rays is presented. The scattering amplitudes are calculated using a standard time-dependent perturbation theory to second order in the electron-photon interaction vertex. In…

Strongly Correlated Electrons · Physics 2009-11-10 E. Arola , M. Horne , P. Strange , H. Winter , Z. Szotek , W. M. Temmerman