Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach

Details Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach

2006-01-20

arxiv.org/abs/cond-mat/0601472v2

Europhys.Lett. 76 (2006) 651-656

Physics

Condensed Matter

Other Condensed Matter

4 pages

Scientific paper

10.1209/epl/i2006-10321-4

y formally diagonalizing with accuracy $\hbar$ 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.

Affiliated with

Also associated with

No associations

Rating

Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Semiclassical Dynamics of Electrons in Magnetic Bloch Bands: a Hamiltonian Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-10111