Quantum interference effects in particle transport through finite honeycomb clusters

Abstract

We study how quantum transport is influenced by quantum interference in finite honeycomb clusters. We let a particle traverse through the cluster through semi-infinite input and output chains. We use the quantum percolation hamiltonian to describe how the particle hops from one site into a nearest-neighboring site. We find transmission resonances and anti-resonances. Some of the anti-resonances occur whenever the particle's energy coincides with a bound state of the finite cluster. A forbidden zone in the transmission also occurs for a wide range of the incident particle's energy. For highly transmitting configurations destructive interference is minimized while for highly reflecting configurations destructive interference is dominant.