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arxiv: 1011.6499 · v2 · pith:VX242V5Lnew · submitted 2010-11-30 · 🧮 math-ph · cond-mat.quant-gas· cond-mat.stat-mech· math.MP

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

Philippe Briet (CPT) , Horia D. Cornean (MATH. Dept. , Aalborg University) , Baptiste Savoie (CPT) This is my paper
classification 🧮 math-ph cond-mat.quant-gascond-mat.stat-mechmath.MP
keywords densityformulalandau-peierlsrigoroustemperatureblochconjecturedelectron
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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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