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arXiv · 1011.6499

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

Philippe Briet·Horia D. Cornean·Baptiste Savoie
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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.

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Philippe Briet, Horia D. Cornean, Baptiste Savoie. 2011-03-30. A rigorous proof of the Landau-Peierls formula and much more. https://arxiv.org/abs/1011.6499

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