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HL: Fachverband Halbleiterphysik

HL 30: Poster: Quantum dots and wires: Preparation, characterization, optical properties and transport

HL 30.8: Poster

Monday, March 31, 2014, 17:00–20:00, P2

Numerical determination of the non-equilibrium many-body statistical operator for a nanowire-based field-effect transistor — •Jose Maria Castelo and Klaus Michael Indlekofer — RheinMain University of Applied Sciences, IMtech / Faculty of Engineering, D-65428 Rüsselsheim, Germany

We present a numerical approach to construct a non-equilibrium many-body statistical operator ρ_MB for a semiconductor nanowire-based field-effect transistor (NWFET). As a constraint for ρ_MB, we assume that the single-particle density matrix ρ₁ is a given quantity, resulting from a non-equilibrium Green’s function calculation for the NWFET for a given set of applied voltages. Two different ON eigenbases for ρ_MB are considered in this presentation: (i) a Slater determinant basis of natural orbitals (eigenstates of ρ₁) and (ii) the eigenbasis of the projected many-body Hamiltonian H_MB within a relevant Fock subspace of the system. As for the eigenvalues w_K of ρ_MB, we furthermore assume that w_K have a generalized Boltzmann form, parameterized by effective chemical potentials of natural orbitals and a given temperature. From the determined ρ_MB, in turn, one can calculate expectation values for any observable of the system. As an example, we analyze the electron density and the density-density correlation function for a set of representative equilibrium and non-equilibrium conditions of the NWFET.