Three-dimensional modelling of dissipative quantum transport in quantum dots and atomistic scale devices using nonHermitian generalized potentials

In this paper we introduce a phenomenology for inserting dissipation into t he single-particle Schrodinger equation for carrier transport by utilizing appropriate nonHermitian additions to the Hamiltonian. The nonHermitian ter ms are determined by incorporating model particle trapping/de-trapping, mom entum gain/loss, energy gain/loss into the quantum continuity equations der ived within the Bohm picture and then reconstructing the full Hamiltonian b y reversing the Bohm projection. The new phenomenology is designed to obtai n quantum velocity flows using the Bohm projection of solutions to the nonH ermitian Schrodinger equation for applications in 2D and 3D quantum dots an d mesoscopic MOSFETs. For this purpose we introduce a novel fast algorithm to compute the wave function in 2D and 3D based on a two time step iteratio n and direct integration. (C) 2000 Academic Press.