P. Gosselin et al 2006 Europhys. Lett. 76 651 doi:10.1209/epl/i2006-10321-4
Semiclassical dynamics of electrons in magnetic Bloch bands: A Hamiltonian approach
P. Gosselin1, F. Ménas2, A. Bérard3 and H. Mohrbach3
Show affiliationsBy formally diagonalizing with accuracy 
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.
- PACS
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72.15.-v Electronic conduction in metals and alloys
72.10.-d Theory of electronic transport; scattering mechanisms
- Subjects
- Dates
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Issue 4 (November 2006)
Received 24 May 2006, accepted for publication 25 September 2006, in final form 25 September 2006
Published 13 October 2006
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Semiclassical dynamics of electrons in magnetic Bloch bands: A Hamiltonian approach
P. Gosselin et al 2006 Europhys. Lett. 76 651
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