Formulation of a phase space exponential operator for the Wigner transport equation accounting for the spatial variation of the effective mass

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dc.contributor.authorSchulz, Lukas
dc.contributor.authorSchulz, Dirk
dc.date.accessioned2021-03-19T06:34:18Z
dc.date.available2021-03-19T06:34:18Z
dc.date.issued2020-07-23
dc.description.abstractA 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.en
dc.identifier.urihttp://hdl.handle.net/2003/40087
dc.identifier.urihttp://dx.doi.org/10.17877/DE290R-21964
dc.language.isoende
dc.relation.ispartofseriesJ Comput Electron;19(4)
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subjectWigner transport equationen
dc.subjectLiouville von-Neumann equationen
dc.subjectNumerical methodsen
dc.subjectTransient quantum transporten
dc.subjectComplex absorbing potentialen
dc.subjectSpatially varying effective massen
dc.subjectHeterostructure devicesen
dc.subjectResonant tunneling diodeen
dc.subject.ddc620
dc.titleFormulation of a phase space exponential operator for the Wigner transport equation accounting for the spatial variation of the effective massen
dc.typeTextde
dc.type.publicationtypearticleen
dcterms.accessRightsopen access
eldorado.secondarypublicationtruede
eldorado.secondarypublication.primarycitationSchulz, L., Schulz, D. Formulation of a phase space exponential operator for the Wigner transport equation accounting for the spatial variation of the effective mass. J Comput Electron 19, 1399–1415 (2020).de
eldorado.secondarypublication.primaryidentifierhttps://doi.org/10.1007/s10825-020-01551-0de

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