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.
Berry phase effects on electronic properties
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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
Berry curvature 3D 3D
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
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)