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Berry phase effects on electronic properties

Seria interessante iniciar uma linha de pesquisa sobre fases geométrica em sistemas de estado sólido?. Berry phase effects on electronic properties. Rev. Mod. Phys. Vol 82 , 1959 (2010) Di Xiao, M-C Chang and Qian Niu. Contents (review). Contents (review). Cyclic adiabatic evolution.

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Berry phase effects on electronic properties

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  1. Seria interessante iniciar uma linha de pesquisa sobre fases geométrica em sistemas de estado sólido?

  2. Berry phase effects on electronic properties Rev. Mod. Phys. Vol 82, 1959 (2010) Di Xiao, M-C Chang and Qian Niu

  3. Contents (review)

  4. Contents (review)

  5. Cyclic adiabatic evolution

  6. Definition of Berry phase

  7. Berry curvature 3D 3D

  8. Berry curvature and Bloch bands

  9. Closed paths in momentum space Two ways • An external magnetic field induces cyclotron motion along a closed orbit in q space. • An electric field causes linear variation in q. The closed path is completed when the entire Brillouin zone is “visited” by increasing values of momentum

  10. Parametrization of the Brillouin zone

  11. Berry phase and (name) Hall effect • Quantum Hall effect Berry curvature

  12. Anomalous Hall effect Berry curvature

  13. Phonons coupled with magnetic fields Main result: The PHE depends on the Berry curvature

  14. More references • PRB 73, 125330 (2006) • PRB 70, 081311(R) (2004) • EPL 82 60006 (2008)

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