A rigorous proof of the Landau-Peierls formula and much more
Mathematical Physics
2011-04-01 v2 Quantum Gases
Statistical Mechanics
math.MP
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.
Keywords
Cite
@article{arxiv.1011.6499,
title = {A rigorous proof of the Landau-Peierls formula and much more},
author = {Philippe Briet and Horia D. Cornean and Baptiste Savoie},
journal= {arXiv preprint arXiv:1011.6499},
year = {2011}
}
Comments
30 pages - Accepted for publication in A.H.P