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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. - PowerPoint PPT Presentation
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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
Definition of Berry phase
Berry curvature
3D
3D
Berry curvature and Bloch bands
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
Parametrization of the Brillouin zone
Berry phase and (name) Hall effect
• Quantum Hall effect
Berry curvature
• Anomalous Hall effect
Berry curvature
Phonons coupled with magnetic fields
Main result: The PHE depends on the Berry curvature
More references
• PRB 73, 125330 (2006)
• PRB 70, 081311(R) (2004)
• EPL 82 60006 (2008)