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Spin-Orbit Coupling Effects in Zinc Blende Structures
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TLDR
In this article, a character table for the group of the wave vector at certain points of symmetry in the Brillouin zone is given, and a possible reason for the complications which may make a simple effective mass concept invalid for some crystals of this type structure is presented.Abstract:
Character tables for the "group of the wave vector" at certain points of symmetry in the Brillouin zone are given. The additional degeneracies due to time reversal symmetry are indicated. The form of energy vs wave vector at these points of symmetry is derived. A possible reason for the complications which may make a simple effective mass concept invalid for some crystals of this type structure will be presented.read more
Citations
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Symmetry restoration in mean-field approaches
TL;DR: In this article, the linear Schrodinger equation for the exact many-body wave function is mapped onto a non-linear density-dependent one-body potential problem, which allows for obtaining solutions that break essential symmetries of the system.
Journal Article
A unified numerical approach to topological semiconductor-superconductor heterostructures
Georg W. Winkler,Andrey E. Antipov,Bernard Van Heck,Alexey A. Soluyanov,Leonid I. Glazman,Michael Wimmer,Roman M. Lutchyn +6 more
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Zeeman-type spin splitting in nonmagnetic three-dimensional compounds
TL;DR: In this article, the authors show that noncentrosymmetric three-dimensional compounds can also exhibit a Zeeman-type spin splitting, allowing the splitting control by changing the growth direction of slabs formed by these compounds.
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Strong Spin-Orbit Contribution to the Hall Coefficient of Two-Dimensional Hole Systems.
TL;DR: This work provides a general method for extracting the spin-orbit parameter from magnetotransport data, applicable even at higher temperatures where Shubnikov-de Haas oscillations and weak antilocalization are difficult to observe.
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Exciton-spin relaxation in quantum dots due to spin-orbit interaction
TL;DR: In this article, the authors present theoretical results for the spin relaxation of exciton-bound electrons and holes in weakly confining quantum dots, which is driven by spin-orbit interaction in the conduction band and the linear in the momentum term in the valence band, respectively.
References
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Cyclotron Resonance of Electrons and Holes in Silicon and Germanium Crystals
TL;DR: In this paper, the results of cyclotron resonance experiments on charge carriers in silicon and germanium single crystals near 4\ifmmode^\circ\else\textdegree\fi{}K were given.
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Theory of Brillouin Zones and Symmetry Properties of Wave Functions in Crystals
TL;DR: In this article, the problem of finding the Brillouin zones is studied from the point of view of group theory, where a representation of the symmetry group is associated with the underlying problem.
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Accidental Degeneracy in the Energy Bands of Crystals
TL;DR: In this paper, the authors investigated the circumstances under which two wave functions occurring in the Hartree or Fock solution for a crystal can have the same reduced wave vector and the same energy.
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A Method for Obtaining Electronic Eigenfunctions and Eigenvalues in Solids with An Application to Sodium
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Effect of Time-Reversal Symmetry on Energy Bands of Crystals
TL;DR: In this paper, a criterion is developed to facilitate calculation of when and how such additional degeneracy will occur, and the consequences of the reality of the Hamiltonian are tabulated for a number of cases.