Simultaneous effects of spatial electric field and spin–orbit interaction on the cubic quantum dot energy levels

The complete ligand field -Coulomb repulsion -spin orbit interaction matrices have been derived for the d4 and d6 electron configurations within octahedral (Oh) and tetrahedral (Td) symmetry. The calculations were perform ed in both the weak-field and strong-field coupling schemes and complete agreement of the results was achieved. The energy matrices are parametrically dependent on ligand field (Dq), Coulomb repulsion (B, C) and spin-orbit interaction (ζ). Correct energy diagrams are presentend which display the splittings by spin-orbit perturbation as well as the effect of configuration mixing. Applications to the interpretation of optical spectral data, to the detailed behavior at the crossover of ground terms, and to complete studies in magnetism are pointed out.

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Energy shell structure of a single InAs/GaAs quantum dot with a spin-orbit interaction

Physical Review B ◽

10.1103/physrevb.79.165427 ◽

2009 ◽

Vol 79 (16) ◽

Cited By ~ 10

Author(s):

M. Vachon ◽

S. Raymond ◽

A. Babinski ◽

J. Lapointe ◽

Z. Wasilewski ◽

...

Keyword(s):

Quantum Dot ◽

Shell Structure ◽

Orbit Interaction ◽

Spin Orbit ◽

Spin Orbit Interaction ◽

Energy Shell ◽

Gaas Quantum Dot

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Effect of impurity on the absorption of a parabolic quantum dot with including Rashba spin–orbit interaction

Physica E Low-dimensional Systems and Nanostructures ◽

10.1016/j.physe.2016.01.003 ◽

2016 ◽

Vol 80 ◽

pp. 48-52 ◽

Cited By ~ 6

Author(s):

Parinaz Hosseinpour ◽

Ali Soltani-Vala ◽

Jamal Barvestani

Keyword(s):

Quantum Dot ◽

Orbit Interaction ◽

Spin Orbit ◽

Spin Orbit Interaction ◽

Rashba Spin ◽

Parabolic Quantum Dot

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Ligand-Field Spin-Orbit Energy Levels in the d5 Electron Configuration of Octahedral and Tetrahedral Symmetry

Zeitschrift für Naturforschung A ◽

10.1515/zna-1974-0308 ◽

1974 ◽

Vol 29 (3) ◽

pp. 419-428 ◽

Cited By ~ 4

Author(s):

E. König ◽

R. Schnakig ◽

S. Kremer

Keyword(s):

Strong Field ◽

Energy Levels ◽

Orbit Interaction ◽

Complete Agreement ◽

Ligand Field ◽

Electron Configuration ◽

Spin Orbit ◽

Tetrahedral Symmetry ◽

Spin Orbit Interaction ◽

Orbit Perturbation

The complete ligand-field, Coulomb interelectronic repulsion, and spin-orbit interaction matrices have been derived for the d5 electron configuration within octahedral (Oh) and tetrahedral (Td) symmetry. The calculations were performed in both the weak-field and strong-field coupling schemes and complete agreement of the results was achieved. The energy matrices are parametrically dependent on ligand field (Dq), Coulomb repulsion (B, C), and spin-orbit interaction (ζ). Correct energy diagrams are presented which display the splittings by spin-orbit perturbation as well as the effect of configuration mixing. Applications to the interpretation of electronic spectra, and to complete studies in magnetism are pointed out. The detailed behavior at the crossover of ground terms is considered

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