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arXiv · 1008.5268

Theory of optically forbidden d-d transitions in strongly correlated crystals

M. I. Katsnelson·A. I. Lichtenstein
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Abstract

A general multiband formulation of linear and non-linear optical response functions for realistic models of correlated crystals is presented. Dipole forbidden d-d optical transitions originate from the vertex functions, which we consider assuming locality of irreducible four-leg vertex. The unified formulation for second- and third-order response functions in terms of the three-leg vertex is suitable for practical calculations in solids. We illustrate the general approach by consideration of intraatomic spin-flip contributions, with the energy of 2J, where J is a Hund exchange, in the simplest two-orbital model.

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M. I. Katsnelson, A. I. Lichtenstein. 2010-08-31. Theory of optically forbidden d-d transitions in strongly correlated crystals. https://doi.org/10.1088/0953-8984%2F22%2F38%2F382201

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