• Title/Summary/Keyword: Spin-orbit coupling

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Effective Valence Shell Hamiltonian Calculations on Spin-Orbit Coupling of SiH, SiH+, and SiH2+

  • Chang, Ye-Won;Sun, Ho-Sung
    • Bulletin of the Korean Chemical Society
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    • v.24 no.6
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    • pp.723-727
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    • 2003
  • Recently the ab initio effective valence shell Hamiltonian method $H^v$ has been extended to treat spin-orbit coupling in atoms or molecules. The quasidegenerate many-body perturbation theory based $H^v$ method has an advantage of determining the spin-orbit coupling energies of all valence states for both the neutral species and its ions with a similar accuracy from a single computation of the effective spin-orbit coupling operator. The new spin-orbit $H^v$ method is applied to calculating the fine structure splittings of the valence states of SiH, $SiH^+$, and $SiH^{2+}$ not only to assess the accuracy of the method but also to investigate the spin-orbit interaction of highly excited states of SiH species. The computed spin-orbit splittings for ground states are in good agreement with experiment and the few available ab initio computations. The ordering of fine structure levels of the bound and quasi-bound spin-orbit coupled valence states of SiH and its ions, for which neither experiment nor theory is available, is predicted.

The Effect of the Ligand's Spin-Orbit Coupling on the Zero-Field Splitting in the Low Spin Octahedral Ti(Ⅲ), V(Ⅲ), Fe(Ⅲ) and Ni(Ⅱ) Complexes (리간드의 Spin-Orbit Coupling이 작은 스핀팔면체 Ti(Ⅲ), V(Ⅲ), Fe(Ⅲ) 및 Ni(Ⅱ) 착물의 Zero-Field Splitting에 미치는 영향)

  • Ahn Sangwoon;Lee Kee Hag
    • Journal of the Korean Chemical Society
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    • v.23 no.2
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    • pp.65-74
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    • 1979
  • An effect of the spin-orbit coupling interaction of ligand orbitals on the ground state for octahedral $[Ti(Ⅲ)A_3B_3]$, $ [V(Ⅲ)A_3B_3]$, $ [Fe(Ⅲ)A_3B_3]$ and $ [Ni(Ⅱ)A_3B_3]$ type complexes has been investigated in this work, applying the degenerate perturbation theory. The wave functions are not affected but the energy level splitting for the ground state of these complexes by the spin-orbit coupling interaction of ligand orbitals. The extent of effect on the energy level splitting for the ground state is decreased in order Ti(Ⅲ) > V(Ⅲ) > Fe(Ⅲ).

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Suppression of Spin Dephasing in a Two-Dimensional Electron Gas with a Quantum Point Contact

  • Jeong, Jae-Seung;Lee, Hyun-Woo
    • Journal of Magnetics
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    • v.15 no.1
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    • pp.7-11
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    • 2010
  • Spin-orbit coupling (SOC) is a source of strong spin dephasing in two- and three-dimensional semiconducting systems. We report that spin dephasing in a two-dimensional electron gas can be suppressed by introducing a quantum point contact. Surprisingly, this suppression was not limited to the vicinity of the contact but extended to the entire two-dimensional electron gas. This facilitates the electrical control of the spin degree of freedom in a two-dimensional electron gas through spin-orbit coupling.

Ligand Field Approach to $4d^{1}$ Magnetism Based on Intermediate Field Coupling Scheme

  • 최진호;김종영
    • Bulletin of the Korean Chemical Society
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    • v.18 no.9
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    • pp.976-981
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    • 1997
  • The magnetic susceptibilities of molybdenum ions with 4d1 electronic configuration in the octahedral crystal field were calculated on the basis of ligand field theory. The experimental magnetic susceptibilities for molybdenum ions, which are stabilized at the octahedral site in the perovskite lattice of Ba2ScMoⅤO6 and Sr2YMoⅤO6, were compared with the theoretical ones. We have tried to fit their temperature dependence of magnetic susceptibility with ligand field parameters, spin-orbit coupling constant ζSO, and orbital reduction parameter κ according to intermediate field coupling and strong field theory. Strong field coupling theory could not explain experimental curves without unrealistically large axial ligand field, since it ignores the mixing up between different state via spin-orbit interaction and ligand field. On the other hand, the intermediate field coupling theory could successfully reproduce experimental data in octahedral and trigonal ligand field. The fitting result demonstrates not only the fact that spin-orbit interaction is primarily responsible for the variation of magnetic behavior but also the fact that effective orbital overlap, enhanced by cubic crystal structure, reduces significantly orbital angular momentum as indicated by κ parameter.

KPACK: Relativistic Two-component Ab Initio Electronic Structure Program Package

  • Kim, Inkoo;Lee, Yoon Sup
    • Bulletin of the Korean Chemical Society
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    • v.34 no.1
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    • pp.179-187
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    • 2013
  • We describe newly developed software named KPACK for relativistic electronic structure computation of molecules containing heavy elements that enables the two-component ab initio calculations in Kramers restricted and unrestricted formalisms in the framework of the relativistic effective core potential (RECP). The spin-orbit coupling as relativistic effect enters into the calculation at the Hartree-Fock (HF) stage and hence, is treated in a variational manner to generate two-component molecular spinors as one-electron wavefunctions for use in the correlated methods. As correlated methods, KPACK currently provides the two-component second-order M${\o}$ller-Plesset perturbation theory (MP2), configuration interaction (CI) and complete-active-space self-consistent field (CASSCF) methods. Test calculations were performed for the ground states of group-14 elements, for which the spin-orbit coupling greatly influences the determination of term symbols. A categorization of three procedures is suggested for the two-component methods on the basis of spin-orbit coupling manifested in the HF level.

The Effect of Ligand's Spin-Orbit Coupling and the Intermixing of │3d 〉 and │4p 〉 Cu Atomic Orbitals on Zero-Field Splitting in the Tetragonally Distorted Tetrahedral $CuCl_4^{2-}\;Complex^\ast$ (Cu 3d 와 4p 궤도함수의 혼성과 리간드의 Spin-Orbit Coupling 이 Tetragonally 일그러진 $CuCl_4^{2-}$ 착물의 Zero-Field Splitting에 미치는 영향)

  • Lee, Wang No;Choe, U Seong;Baek, U Hyeon;Kim, Dong Hui;Choe, Chang Jin;Lee, Gi Gye
    • Journal of the Korean Chemical Society
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    • v.34 no.1
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    • pp.37-43
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    • 1990
  • An effect of the spin-orbit coupling interaction of ligand orbitals and the intermixing │3d 〉and│4p > transition metal atomic orbitals on the ground state for a 3$d^9$ system in a strong crystal field of tetragonally distorted tetrahedral symmetry that belongs to the $D_{2d}$ point group has been investigated in this work, applying the degenerate perturbation theory. An LCAO-MO analysis in terms of the known energies of the d-d transitions for the tetragonally distorted $CuCl_4^{2-}$ ion in a single crystal of$Cs_2CuCl_4$shows that the covalent mixing of Cu 3d and ligand Cl 3p orbitals decreases dramatically with increasing Cu 4p contribution. The extent of effect on the energy level splitting for the ground state by the spin-orbit coupling interaction of ligand orbitals decreases significantly in orderTEX>$\Gamma_7(E)\;\to\;\Gamma_6(E)\; >\;\Gamma_7(B_2)\;\to\;\Gamma_6(E)\; >\;\Gamma_7(B_2)\;\to\;\Gamma_7(E)$.

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The Structural-Dependent Characteristics of Rashba Spin Transports in In0.5Ga0.5As/In0.5Al0.5As Heterojunctions

  • Choi, Hyon-Kwang;Hwang, Sook-Hyun;Jeon, Min-Hyon;Yamda, Syoji
    • Transactions on Electrical and Electronic Materials
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    • v.12 no.4
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    • pp.140-143
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    • 2011
  • The growth and characterization of $In_{0.5}Ga_{0.5}As/In_{0.5}Al_{0.5}As$ narrow-gap inverted high electron mobility transistor structures, developed as a candidate material for spin-injection devices, are presented in this study. We have grown samples possessing surface $In_{0.5}Ga_{0.5}As$ channels of different thicknesses (30 nm and 60 nm) both with and without a thin 3 nm $In_{0.5}Ga_{0.5}As$ cap layer by using molecular beam epitaxy. We then investigated the in-plane transport properties as well as the Rashba spin-orbit coupling constant of the two-dimensional electron gas confined at the heterojunction interface.