QUANTUM TRANSPORT THROUGH FULLY CONNECTED BETHE LATTICES

Chris Varghese () and M. A. Novotny ()
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Chris Varghese: Department of Physics & Astronomy, Mississippi State University, P. O. Box 5167, Mississippi State, MS 39762, USA
M. A. Novotny: Department of Physics & Astronomy and HPC2 Center for Computational Sciences, Mississippi State University, P.O. Box 5167, Mississippi State, MS 39762, USA

International Journal of Modern Physics C (IJMPC), 2012, vol. 23, issue 08, 1-10

Abstract: We introduce a variant of the Bethe lattice, the fully connected Bethe lattice (FCBL); with every site in each shell of the Bethe lattice connected to every other site in the shell. A recently introduced decimation renormalization group (RG) method is utilized to obtain the quantum transmission through the Bethe lattice and FCBL. Although classically the extra intra-shell connections would not change the transmission, they have a large effect on the quantum transport and the wave functions.

Keywords: Bethe lattice; Cayley tree; renormalization group; quantum transport; 11.25.Hf; 123.1K (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1142/S0129183112400104

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