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Coordination compounds and complexes exhibit different colors, geometries, and magnetic behavior, depending on the metal atom/ion and ligands from which they are composed. In an attempt to explain the bonding and structure of coordination complexes, Linus Pauling proposed the valence bond theory, or VBT, using the concepts of hybridization and the overlapping of the atomic orbitals. According to VBT, the central metal atom or ion (Lewis acid) hybridizes to provide empty orbitals of suitable...
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Spin-orbital texture in topological insulators.

Haijun Zhang1, Chao-Xing Liu, Shou-Cheng Zhang

  • 1Department of Physics, McCullough Building, Stanford University, Stanford, California 94305-4045, USA.

Physical Review Letters
|August 27, 2013
PubMed
Summary
This summary is machine-generated.

Researchers discovered a novel spin-orbital texture in topological insulators related to p(x) and p(y) orbitals. This finding, associated with the Dirac cones, could be observed using spin-resolved photoemission spectroscopy.

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Area of Science:

  • Condensed Matter Physics
  • Materials Science
  • Quantum Chemistry

Background:

  • Three-dimensional topological insulators (3D TIs) like Bi2Se3 host unique surface states.
  • The spin texture of surface states is crucial for their electronic properties and potential applications.
  • Previous studies focused on p(z) orbital contributions to spin texture.

Purpose of the Study:

  • To predict and characterize a new spin-orbital texture involving p(x) and p(y) orbitals in 3D TIs.
  • To elucidate the coupling between spin and orbital textures for both upper and lower Dirac cones.
  • To propose an experimental method for observing this novel phenomenon.

Main Methods:

  • Theoretical prediction of spin-orbital texture.
  • Analysis of orbital contributions (p(x), p(y), p(z)) to surface states.
  • Identification of spin-orbital coupling mechanisms.

Main Results:

  • A novel spin-orbital texture associated with p(x) and p(y) orbitals is predicted.
  • Specific coupling patterns between spin and orbital textures are identified for upper and lower Dirac cones.
  • A dominant "tangential" ("radial") orbital texture is found for the upper (lower) Dirac cone, leading to a right-handed spin texture for in-plane orbitals.

Conclusions:

  • The study reveals a new facet of spin-orbital interplay in 3D TIs.
  • The predicted spin-orbital texture offers new avenues for understanding and manipulating topological surface states.
  • A spin-resolved and photon-polarized angle-resolved photoemission spectroscopy experiment is proposed for experimental verification.