A rigorous proof of the Landau-Peierls formula and much more
arXiv:1011.6499
Abstract
We present a rigorous mathematical treatment of the zero-field orbital magnetic susceptibility of a non-interacting Bloch electron gas, at fixed temperature and density, for both metals and semiconductors/insulators. In particular, we obtain the Landau-Peierls formula in the low temperature and density limit as conjectured by T. Kjeldaas and W. Kohn in 1957.
30 pages - Accepted for publication in A.H.P