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The paper studies spin-orbit interaction (i.e. the effect the spin has on the particle's trajectory in a magnetic field) as a model of quantum computation. The two-level spin quantum system is examined using the stochastic mechanics…

Mathematical Physics · Physics 2011-02-11 Gerasimos G. Rigatos

Synthetic spin-orbit coupling in cold atoms couples the pseudo-spin and spatial degrees of freedom, and therefore the inherent spin symmetry of the system plays an important role. In systems of two pseudo-spin degrees, two particles contain…

Quantum Gases · Physics 2025-02-05 Ayaka Usui , Abel Rojo-Francàs , James Schloss , Bruno Juliá-Díaz

We study single and double quantum dots defined electrostatically within silicene. The spin-valley structure of the confined single- and two-electron system is determined and the effects of the intervalley scattering induced by the crystal…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 B. Szafran , D. Zebrowski

We investigate the influence of spin-orbit coupling $\lambda$ in strongly-correlated multiorbital systems that we describe by a three-orbital Hubbard-Kanamori model on a Bethe lattice. We solve the problem at all integer fillings $N$ with…

Strongly Correlated Electrons · Physics 2018-11-30 Robert Triebl , Gernot J. Kraberger , Jernej Mravlje , Markus Aichhorn

Spin-orbit coupling in crystals is known to lead to unusual direction dependent exchange interactions, however understanding of the consequeces of such effects in molecular crystals is incomplete. Here we perform four component relativistic…

Strongly Correlated Electrons · Physics 2017-04-19 A. C. Jacko , A. L. Khosla , J. Merino , B. J. Powell

We review interaction effects in chaotic metallic nanoparticles. Their single-particle Hamiltonian is described by the proper random-matrix ensemble while the dominant interaction terms are invariants under a change of the single-particle…

Mesoscale and Nanoscale Physics · Physics 2017-05-23 Y. Alhassid , K. N. Nesterov

Spin-orbit interaction is usefully classified as extrinsic or intrinsic depending on its origin: the potential due to random impurities (extrinsic), or the crystalline potential associated with the band or device structure (intrinsic). In…

Mesoscale and Nanoscale Physics · Physics 2012-01-19 R. Raimondi , P. Schwab , C. Gorini , G. Vignale

We study the effective spin-orbital model for honeycomb-layered transition metal compounds, applying the second-order perturbation theory to the three-orbital Hubbard model with the anisotropic hoppings. This model is reduced to the Kitaev…

Strongly Correlated Electrons · Physics 2018-04-04 Akihisa Koga , Shiryu Nakauchi , Joji Nasu

Pair spin-orbit interaction can emerge in strongly-interacting systems characterized by a large spin-orbit coupling. Here we study the role of this interaction in stabilizing ordered and unconventional superconducting phases. We find that,…

Superconductivity · Physics 2025-07-30 Feng Liu , Alessandro Principi

We present accurate ab initio and quantum scattering calculations on a prototypical hybrid ion-atom system Yb$^+$-Rb, recently suggested as a promising candidate for the experimental study of open quantum systems, quantum information…

Atomic Physics · Physics 2016-09-29 Timur V. Tscherbul , Paul Brumer , Alexei A. Buchachenko

We study the effect of spin-orbit interaction on one-dimensional U(1)-invariant frustrated magnets with dominant critical nematic fluctuations. The spin-orbit coupling explicitly breaks the U(1) symmetry of arbitrary global spin rotations…

Strongly Correlated Electrons · Physics 2017-12-19 Shang-Shun Zhang , Nitin Kaushal , Elbio Dagotto , Cristian D. Batista

This work is a sequel to our work "The Spin Density Matrix I: General Theory and Exact Master Equations" (eprint arXiv:0708.0644 [cond-mat]). Here we compare pure- and pseudo-spin dynamics using as an example a system of two quantum dots, a…

Strongly Correlated Electrons · Physics 2009-11-13 Sharif D. Kunikeev , Daniel A. Lidar

Symmetry formulated by group theory plays an essential role with respect to the laws of nature, from fundamental particles to condensed matter systems. Here, by combining symmetry analysis and tight-binding model calculations, we elucidate…

Materials Science · Physics 2022-11-04 Pengfei Liu , Jiayu Li , Jingzhi Han , Xiangang Wan , Qihang Liu

We propose to use the spin-orbit interaction as a means to control electron spins in quantum dots, enabling both single qubit and two qubit operations. Very fast single qubit operations may be achieved by temporarily displacing the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Christian Flindt , Anders S. Sorensen , Karsten Flensberg

We investigate spin systems with extensive degeneracies in the classical ground states due to anisotropic frustrated spin interactions, where the degeneracy is not protected by symmetry. Using spin functional integration, we study the…

Strongly Correlated Electrons · Physics 2025-10-08 Peng Rao , Johannes Knolle

The tensorial form of the spin-other-orbit interaction operator in the formalism of second quantization is presented. Such an expression is needed to calculate both diagonal and off-diagonal matrix elements according to an approach, based…

Atomic Physics · Physics 2009-11-10 G. Gaigalas , A. Bernotas , Z. Rudzikas , C. Froese Fischer

We investigate the periodic Anderson model composed of an itinerant $c$-band and a strongly localized $f$-band, featuring on-site electron-electron interactions in the $f$-orbitals. The two bands interact via a hybridization term with…

Strongly Correlated Electrons · Physics 2026-03-02 Sebastião dos Anjos Sousa-Júnior , Julián Faúndez , Rubem Mondaini

We provide a simple explanation, based on an effective field, for the precession damping rate due to the spin-orbit interaction. Previous effective field treatments of spin-orbit damping include only variations of the state energies with…

Materials Science · Physics 2009-11-13 Keith Gilmore , Yves U. Idzerda , Mark D. Stiles

We study the influence of spin-orbit coupling on the hole states in InAs/GaAs quantum dots grown on [001]- and [111]-oriented substrates belonging to symmetry point groups: C2v, C3v and D2d. We investigate the impact of various spin-orbit…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Krzysztof Gawarecki , Mateusz Krzykowski

Semiconductor nanowires based on non-nitride III-V compounds can be synthesized under certain growth conditions to favor the appearance of wurtzite crystal phase. Despite the reports in literature of ab initio band structures for these…