Quantum Transport through a Fully Connected Network with Disorder

A matrix method is used to calculate the quantum transport of spinless electrons through a fully connected network with site disorder. The method calculates the transport probability from the time independent Schrödinger equation, for both the leads and a network in the tight binding approximation. The exact solution is a simple formula, and is derived without the use of Green's functions. An exact solution is also given for the wavefunction on the network sites. A fully connected network with n sites may have up to n − 1 points where the transmission goes to zero within the physical range of energies.