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The Faraday effect revisited: Thermodynamic limit |
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| Authors: | Horia D. Cornean Gheorghe Nenciu |
| Affiliation: | a Department of Mathematical Sciences, Aalborg University, Fredrik Bajers Vej 7G, 9220 Aalborg, Denmark b Dept. Theor. Phys., University of Bucharest, PO Box MG11, RO-76900 Bucharest, Romania c Inst. of Math. “Simion Stoilow” of the Romanian Academy, PO Box 1-764, RO-014700 Bucharest, Romania |
| Abstract: | This paper is the second in a series revisiting the (effect of) Faraday rotation. We formulate and prove the thermodynamic limit for the transverse electric conductivity of Bloch electrons, as well as for the Verdet constant. The main mathematical tool is a regularized magnetic and geometric perturbation theory combined with elliptic regularity and Agmon-Combes-Thomas uniform exponential decay estimates. |
| Keywords: | Thermodynamic limit Magnetic perturbation theory Faraday rotation |
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