QUANTUM TRANSPORT THROUGH FULLY CONNECTED BETHE LATTICES

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.