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    Berry phase effects on electronic properties

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    Xiao_2010.pdf (893.7Kb)
    Date
    2010-07
    Author
    Xiao, Di
    Chang, Ming-Che
    Niu, Qian
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    Abstract
    Ever since its discovery the notion of Berry phase has permeated through all branches of physics. Over the past three decades it was gradually realized that the Berry phase of the electronic wave function can have a profound effect on material properties and is responsible for a spectrum of phenomena, such as polarization, orbital magnetism, various (quantum, anomalous, or spin) Hall effects, and quantum charge pumping. This progress is summarized in a pedagogical manner in this review. A brief summary of necessary background is given and a detailed discussion of the Berry phase effect in a variety of solid-state applications. A common thread of the review is the semiclassical formulation of electron dynamics, which is a versatile tool in the study of electron dynamics in the presence of electromagnetic fields and more general perturbations. Finally, a requantization method is demonstrated that converts a semiclassical theory to an effective quantum theory. It is clear that the Berry phase should be added as an essential ingredient to our understanding of basic material properties.
    Department
    Physics
    Subject
    quantized hall conductance
    generalized wannier functions
    adiabatic
    charge-transport
    magnetic translation group
    spin-orbit interaction
    wave-packet dynamics
    bloch electrons
    condensed-matter
    semiclassical
    dynamics
    electromagnetic-field
    URI
    http://hdl.handle.net/2152/61095
    Citation
    Xiao, Di, Ming-Che Chang, and Qian Niu. "Berry phase effects on electronic properties." Reviews of modern physics 82, no. 3 (2010): 1959.
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    © The University of Texas at Austin