berry phase effects on electronic properties
DESCRIPTION
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 PresentationTRANSCRIPT
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Seria interessante iniciar uma linha de pesquisa sobre fases geométrica em sistemas
de estado sólido?
![Page 2: Berry phase effects on electronic properties](https://reader035.vdocuments.us/reader035/viewer/2022062309/56815074550346895dbe6f89/html5/thumbnails/2.jpg)
Berry phase effects on electronic properties
Rev. Mod. Phys. Vol 82, 1959 (2010)
Di Xiao, M-C Chang and Qian Niu
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Contents (review)
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Contents (review)
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Cyclic adiabatic evolution
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Definition of Berry phase
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Berry curvature
3D
3D
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Berry curvature and Bloch bands
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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
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Parametrization of the Brillouin zone
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Berry phase and (name) Hall effect
• Quantum Hall effect
Berry curvature
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• Anomalous Hall effect
Berry curvature
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Phonons coupled with magnetic fields
Main result: The PHE depends on the Berry curvature
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More references
• PRB 73, 125330 (2006)
• PRB 70, 081311(R) (2004)
• EPL 82 60006 (2008)