title: Self-consistent solution of two-dimensional poisson and Schrödinger wave equations for nanoscale MOSFET approaching ballistic limit.
abstract: A numerical solution of the potential distribution of two-dimensional Poisson equation and Schrödinger wave equation under a set of boundary conditions has been obtained for a deep submicron and nanoscale MOSFET. The output characteristics can be found out by simply solving the two-dimensional Poisson equation under specific boundary conditions governed by the physics of the device. The channel potential profile has been presented. It is seen that the classical model underestimates the channel voltage and hence the longitudinal electric field in the channel as compared to that obtained through the quantum mechanical approach. For the purpose of validation, the results obtained on the basis of our model have been compared and contrasted with reported experimental result.
authors.affiliation: Department of Electronics Engineering, Indian School of Mines, Dhanbad 826 004, India.
authors.forename: Deepesh
authors.initials: D
authors.lastname: Jain
authors.forename: S
authors.initials: S
authors.lastname: Dasgupta
mesh_terms: D003198:Computer Simulation; D019544:Equipment Failure Analysis / Q000379:methods; D008670:Metals / Q000737:chemistry*; D008956:Models, Chemical; D015233:Models, Statistical; D036103:Nanotechnology / Q000295:instrumentation* / Q000379:methods*; D010087:Oxides / Q000737:chemistry; D011789:Quantum Theory; D014173:Transistors, Electronic
chemical_list: D008670:Metals; D010087:Oxides