Landau-Zener tunneling in 2D periodic structures in the presence of a gauge field I: Tunneling ratesReport as inadecuate



 Landau-Zener tunneling in 2D periodic structures in the presence of a gauge field I: Tunneling rates


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We study the interband Landau-Zener tunneling of a quantum particle in the Hall configuration, i.e., in the presence of normal to the lattice plane gauge field for example, magnetic field for a charged particle and in-plane potential field electric field for a charged particle. The interband tunneling is induced by the potential field and for vanishing gauge field is described by the common Landau-Zener theory. We generalize this theory for non-zero gauge field. The depletion rates of low-energy bands are calculated by using semi-analytical method of the truncated Floquet matrix.



Author: Andrey R. Kolovsky

Source: https://archive.org/



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