A rigorous proof of the Landau-Peierls formula and much more

Details A rigorous proof of the Landau-Peierls formula and much more A rigorous proof of the Landau-Peierls formula and much more

2010-11-30

arxiv.org/abs/1011.6499v2

Physics

Mathematical Physics

30 pages - Accepted for publication in A.H.P

Scientific paper

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.

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