Quantum interference effects in particle transport through square lattices

TL;DR

This paper investigates quantum particle transport in square lattices, revealing resonant transmission phenomena and the impact of attachment methods on transport efficiency, using a tight-binding model from quantum percolation.

Contribution

It introduces a detailed analysis of how attachment configurations affect quantum transport and resonance effects in square lattices using a tight-binding Hamiltonian.

Findings

Resonant transmission occurs near eigenvalues of the lattice.

Transmission depends strongly on attachment method.

Transport properties vary with lattice size and configuration.

Abstract

We study the transport of a quantum particle through square lattices of various sizes by employing the tight-binding Hamiltonian from quantum percolation. Input and output semi-infinite chains are attached to the lattice either by diagonal point to point contacts or by a busbar connection. We find resonant transmission and reflection occuring whenever the incident particle's energy is near an eigenvalue of the lattice alone (i.e., the lattice without the chains attached). We also find the transmission to be strongly dependent on the way the chains are attached to the lattice.