Electron corrected Lorentz forces in solids and molecules in magnetic field

Details Electron corrected Lorentz forces in solids and molecules in magnetic field Electron corrected Lorentz forces in solids and molecules in magnetic field

2007-03-21

arxiv.org/abs/cond-mat/0703551v1

Phys. Rev. B 75, 161101 (2007)

Physics

Condensed Matter

Materials Science

5 pages, 2 figures; to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.75.161101

We describe the effective Lorentz forces on the ions of a generic insulating system in an magnetic field, in the context of Born-Oppenheimer ab-initio molecular dynamics. The force on each ion includes an important contribution of electronic origin, which depends explicitly on the velocity of all other ions. It is formulated in terms of a Berry curvature, in a form directly suitable for future first principles classical dynamics simulations based {\it e.g.,} on density functional methods. As a preliminary analytical demonstration we present the dynamics of an H$_2$ molecule in a field of intermediate strength, approximately describing the electrons through Slater's variational wavefunction.

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