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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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Observation of the spin Hall effect in semiconductors.
TL;DR: In this paper, the authors detected and imaged electron-spin polarization near the edges of a semiconductor channel with the use of Kerr rotation microscopy, consistent with the predictions of the spin Hall effect.
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New perspectives for Rashba spin–orbit coupling
TL;DR: Bychkov and Rashba as discussed by the authors introduced a simple form of spin-orbit coupling to explain the peculiarities of electron spin resonance in two-dimensional semiconductors, which has inspired a vast number of predictions, discoveries and innovative concepts far beyond semiconductor devices.
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Colloquium: Artificial gauge potentials for neutral atoms
TL;DR: In this article, the physical principles at the basis of this artificial magnetism are presented, and the analysis is generalized to the simulation of non-Abelian gauge potentials and some striking consequences are presented.
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New directions in the pursuit of Majorana fermions in solid state systems
TL;DR: This review paper highlights recent advances in the condensed matter search for Majorana that have led many in the field to believe that this quest may soon bear fruit and discusses the most remarkable properties of condensed matter Majorana fermions-the non-Abelian exchange statistics that they generate and their associated potential for quantum computation.
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Spin–orbit-coupled Bose–Einstein condensates
TL;DR: The engineered SO coupling in a neutral atomic Bose–Einstein condensate sets the stage for the realization of topological insulators in fermionic neutral atom systems and develops a many-body theory that provides quantitative agreement with the observed location of the transition.
References
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Journal ArticleDOI
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.