A Rigorous Proof of the Landau-Peierls Formula and much more

作者:Briet Philippe*; Cornean Horia D; Savoie Baptiste
来源:Annales Henri Poincare, 2012, 13(1): 1-40.
DOI:10.1007/s00023-011-0128-x

摘要

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 Kjeldaas and Kohn (Phys Rev 105:806-813, 1957).

  • 出版日期2012-2