Abstract
A novel numerical approximation technique for the Wigner transport equation including the spatial variation of the effective mass based on the formulation of an exponential operator within the phase space is derived. In addition, a different perspective for the discretization of the phase space is provided, which finally allows flexible discretization patterns. The formalism is presented by means of a simply structured resonant tunneling diode in the stationary and transient regime utilizing a conduction band Hamilton operator. In order to account for quantum effects within heterostructure devices adequately, the corresponding spatial variation of the effective mass is considered explicitly, which is mostly disregarded in conventional methods. The results are validated by a comparison with the results obtained from the nonequilibrium Green’s function approach within the stationary regime assuming the flatband case. Additionally, the proposed approach is utilized to perform a transient analysis of the resonant tunneling diode including the self-consistent Hartree–Fock potential.
Highlights
For the state-of-the-art design of nanoelectronic devices including quantum effects a holistic view including the stationary and transient case is needed
Investigating the literature, there are mainly two approaches being predominantly used for the numerical investigation of quantum transport, namely the nonequilibrium Green’s function approach[1] and the Wigner formalism[2]
The proposed approach reduces to the conventional phase space operator approach presented in[15], which has been found to be in an excellent agreement with the NEGF reference method when applying the complex absorbing potential formalism[19]
Summary
For the state-of-the-art design of nanoelectronic devices including quantum effects a holistic view including the stationary and transient case is needed. The quantum-statistical distribution function only interacts with the diffusion operator within the UDS framework, whereas the non-local kinetic drift operator should be accounted for in the same manner To overcome these limitations, an approach based on the formulation of an exponential operator (EO), namely the phase space operator has been proposed to solve the WTE[15]. Under nonequilibrium conditions rapid changes of the Wigner function are expected, which the envelope function does not include In this contribution, the concept of the EO is generalized, which is originally utilized to solve the single band WTE for the case of a constant effective mass distribution[15, 16, 20].
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
