Three-dimensional modelling of dissipative quantum transport in quantum dots and atomistic scale devices using nonHermitian generalized potentials |
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Institution: | 1. Service de Physique Théorique, CEA/DSM/SPhT Saclay, Unité associée CNRS/SPM/URA 2306, F-91191 Gif-sur-Yvette Cedex, France;2. Department of Physics, Yale University, New Haven, CT 06520-8120, USA;3. RIKEN-BNL Research Center, Brookhaven National Laboratory, Upton, NY 11973-5000, USA |
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Abstract: | In this paper we introduce a phenomenology for inserting dissipation into the single-particle Schrödinger equation for carrier transport by utilizing appropriate nonHermitian additions to the Hamiltonian. The nonHermitian terms are determined by incorporating model particle trapping/de-trapping, momentum gain/loss, energy gain/loss into the quantum continuity equations derived within the Bohm picture and then reconstructing the full Hamiltonian by reversing the Bohm projection. The new phenomenology is designed to obtain quantum velocity flows using the Bohm projection of solutions to the nonHermitian Schrödinger equation for applications in 2D and 3D quantum dots and 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 iteration and direct integration. |
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