2010/11/30 by Philippe Briet, Briet, Philippe, Horia D. Cornean +3
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Gases (cond-mat.quant-gas) #Quantum and electron transport phenomena #Spectral Theory in Mathematical Physics #Statistical Mechanics (cond-mat.stat-mech)
paper · doi:10.48550/arxiv.1011.6499
openalex publication_date 2010/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.