期刊
EUROPHYSICS LETTERS
卷 76, 期 4, 页码 651-656出版社
EDP SCIENCES S A
DOI: 10.1209/epl/i2006-10321-4
关键词
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By formally diagonalizing with accuracy h the Hamiltonian of electrons in a crystal subject to electromagnetic perturbations, we resolve the debate on the Hamiltonian nature of semiclassical equations of motion with Berry-phase corrections, and therefore confirm the validity of the Liouville theorem. We show that both the position and momentum operators acquire a Berry-phase dependence, leading to a non-canonical Hamiltonian dynamics. The equations of motion turn out to be identical to the ones previously derived in the context of electron wave-packets dynamics.
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