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

Philippe Briet, Horia Cornean, Baptiste Savoie

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8 Citations (Scopus)
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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 Kjeldaas and Kohn (Phys
Rev 105:806–813, 1957).
Original languageEnglish
JournalAnnales Henri Poincare
Volume13
Issue number1
Pages (from-to)1-40
Number of pages40
ISSN1424-0637
DOIs
Publication statusPublished - 2012

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