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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

The spin-orbit coupling in the absence of spatial inversion symmetry plays an important role in realizing intriguing electronic states in solids, such as topological insulators and unconventional superconductivity. Usually, the inversion…

Strongly Correlated Electrons · Physics 2016-08-24 Satoru Hayami , Hiroaki Kusunose , Yukitoshi Motome

Account of an intrinsic spin-orbit coupling in the valence bands of common semiconductors yields the scalar spin-orbit-rotation term in the effective-mass Hamiltonian of the conduction-band electron. This result is obtained within the…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yuri A. Serebrennikov

Recent work by Elder, Ward and Zhang [Phys. Rev. B83. 165210 (2011)] has shown need for correction and modification of current implementation of the k.p method and operator ordering scheme using the interaction parameters defined under…

Materials Science · Physics 2012-05-15 Warren J. Elder , E. S. Tok , Jing Zhang

The structural inversion asymmetry-induced spin-orbit interaction of conduction band electrons in zinc-blende and wurtzite semiconductor structures is analysed allowing for a three-dimensional (3D) character of the external electric field…

Materials Science · Physics 2010-12-30 Eduard Takhtamirov , Roderick V. N. Melnik

Spin-orbit coupling of electrons with the crystal lattice plays a crucial role in materials without inversion symmetry, lifting spin degeneracy of the Bloch states and endowing the resulting nondegenerate bands with complex spin textures…

Other Condensed Matter · Physics 2015-05-13 K. V. Samokhin

Spin-orbit coupling is relatively weak for electrons in bulk silicon, but enhanced interactions are reported in nanostructures such as the quantum dots used for spin qubits. These interactions have been attributed to various dissimilar…

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

Spin-orbit coupling characterizes quantum systems such as atoms, nuclei, hypernuclei, quarkonia, etc., and is essential for understanding their spectroscopic properties. Depending on the system, the effect of spin-orbit coupling on shell…

Nuclear Theory · Physics 2016-06-29 J. -P. Ebran , E. Khan , A. Mutschler , D. Vretenar

An unconventional superconductor is distinguished with two types of gap functions: unitary and non-unitary. This core subject has been concentrated on purely spin-triplet or singlet-triplet mixed superconductors. However, the generalization…

Superconductivity · Physics 2023-03-29 Meng Zeng , Dong-Hui Xu , Zi-Ming Wang , Lun-Hui Hu

We present a new model for the study of spin-orbit coupling in interacting quasi-one-dimensional systems and solve it exactly to find the spectral properties of such systems. We show that the combination of spin-orbit coupling and…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 A. V. Moroz , K. V. Samokhin , C. H. W. Barnes

The angular momentum formalism provides a powerful way to classify atomic states. Yet, requiring a spherical symmetry from the very first line, this formalism cannot be used for periodic systems, even though cubic semiconductor states are…

Materials Science · Physics 2022-02-28 Monique Combescot , Shiue-Yuan Shiau

Spin-triplet superconductivity is known to be a rare quantum phenomenon. Here we show that nonsymmorphic crystalline symmetries can dramatically assist spin-triplet superconductivity in the presence of spin-orbit coupling. Even with a weak…

Superconductivity · Physics 2022-08-22 Shengshan Qin , Chen Fang , Fu-chun Zhang , Jiangping Hu

We perform a systematic exact diagonalization study of spin-orbit coupling effects for stationary few-electron states confined in quasi two-dimensional double quantum dots. We describe the spin-orbit-interaction induced coupling between…

Mesoscale and Nanoscale Physics · Physics 2010-06-17 M. P. Nowak , B. Szafran

We propose coupling two internal atomic states using a pair of Raman beams operated in Laguerre-Gaussian laser modes with unequal phase windings. This generates a coupling between the atom's pseudo-spin and its orbital angular momentum. We…

Quantum Gases · Physics 2015-03-26 Michael DeMarco , Han Pu

The presence of low-symmetry impurities or defect complexes in the zinc-blende direct-gap semiconductors (e.g. interstitials, DX-centers) results in a novel spin-orbit term in the effective Hamiltonian for the conduction band. The new…

Disordered Systems and Neural Networks · Physics 2015-03-19 Oleg Chalaev , G. Vignale , Michael E. Flatté

The Bloch theorem mathematically proves that in a periodic crystal, electrons can acquire a negative mass. The present work aims to provide a physical understanding for why this is so. We successively analyze the consequences of the 3-fold…

Materials Science · Physics 2020-05-29 Monique Combescot , Shiue-Yuan Shiau

We proposed and demonstrated a new approach for realizing spin orbit coupling with ultracold atoms. We use orbital levels in a double well potential as pseudospin states. Two-photon Raman transitions between left and right wells induce…

The spin states of electrons confined in semiconductor quantum dots form a promising platform for quantum computation. Recent studies of silicon CMOS qubits have shown coherent manipulation of electron spin states with extremely high…

Mesoscale and Nanoscale Physics · Physics 2018-10-03 S. D. Liles , R. Li , C. H. Yang , F. E. Hudson , M. Veldhorst , A. S. Dzurak , A. R. Hamilton

The ground state of an acceptor-bound hole in a zinc-blende semiconductor is formed by four eigenstates of the total angular momentum, which is a vector sum of spin and orbital moment of the hole. As a result, the hyperfine interaction of…

Mesoscale and Nanoscale Physics · Physics 2015-06-16 K. V. Kavokin , A. V. Koudinov
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