S. Fournais
Semiclassics of the Quantum Current in Very Strong Magnetic Fields
Preprint series: ESI preprints

MSC:

81V45 Atomic physics

81V70 Many-body theory

Abstract: We prove a formula for the current in an electron gas in a semiclassical limit
corresponding to strong, constant, magnetic fields.
Little regularity is assumed for the scalar potential $V$. In particular, the
result can be applied to the mean field from magnetic Thomas-Fermi theory $V_{MTF}$.
The proof is based on an estimate on the density of states in the second Landau band.