Magnetic Orbitals and Mechanisms of Exchange I. Direct Exchange |
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Authors: | Jacques Curély |
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Institution: | (1) Centre de Physique Moléculaire Optique et Hertzienne (C.P.M.O.H.), Université Bordeaux 1, 351 Cours de la Libération, F-33405 Talence Cedex, France |
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Abstract: | Summary. The problem of direct exchange is examined in the simplest cases (formal coupling of two electrons initially isolated and hydrogen molecule). Then we consider the general case of a solid characterized by weak overlaps between the atomic orbitals of first-nearest neighbours so that the involved electrons are quasi-localized. We recall the physical origin of spin-orbit coupling. Its influence on direct exchange allows one to revisit Hund s rules and to express phenomenological Hamiltonians describing anisotropic couplings as well as the antisymmetrical Dzialoshinski-Moriya coupling. |
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Keywords: | , Direct exchange, Spin-orbit coupling, Anisotropic exchange, Dzialoshinski-Moriya coupling, Magnetic orbital, |
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