carrier_statistics
Calling sequence
classical{ carrier_statistics }
Properties
usage:
type: choice
values:
maxwell_boltzmann
orfermi_dirac
default:
fermi_dirac
Functionality
Attribute to chose carrier statistics.
If set to maxwell_boltzmann
, then Maxwell-Boltzmann statistics is used for the classical densities.
If set to fermi_dirac
, then Fermi-Dirac statistics is used for the classical densities.
It is not recommended as this is only an approximation which is only applicable in certain cases.
In order to maintain consistency, also the (integrated) energy distribution (density_vs_energy) and the classical emission spectra and densities are computed using the same statistics. Use together with quantum regions is possible but not recommended, and convergence of the current-Poisson or quantum-current-Poisson equation may become worse (please readjust convergence parameters accordingly).
Note
(electron density forfermi_dirac
) (hole density forfermi_dirac
) (electron density formaxwell_boltzmann
) (hole density formaxwell_boltzmann
)where
is a Fermi-Dirac integral of the order .
Example
classical{
carrier_statistics = maxwell_boltzmann
Gamma{}
HH{}
}