Equilibrium{ }¶

Calling sequence

Equilibrium{ }

Functionality

If present, equilibrium condition is assumed for the Green’s functions. That is, the lesser Green’s function is equal to the spectral function multiplied by the Fermi-Dirac distribution.

Dependencies

FermiHole, EnergyBorderElectronHole are allowed to be defined if Fermi is defined, None of FermiElectron.
Exactly one of EnergyBorderElectronHole must be defined if FermiElectron is defined.
Exactly one of EnergyBorderElectronHole must be defined if FermiHole is defined.

Examples

# specify Fermi level
Equilibrium{
    Broadening = 30
    Fermi = 2.0
}

# charge-neutral device (automatic adjustment of quasi-Fermi levels)
Equilibrium{
    Broadening = 30
    SplitFermi = yes
}

# specify quasi-Fermi levels
Equilibrium{
    Broadening = 30
    FermiElectron = 2.1
    FermiHole = 1.9
    EnergyBorderElectronHole = 2.0
}

The following keywords are available within this group.

Broadening¶

Calling sequence

Equilibrium{ Broadening }

Properties

type: \(\mathrm{real\;number}\)
values: [0.0, ...)
unit: \(\mathrm{meV}\)

Functionality

If present, sets the phenomenological broadening parameter for the Green’s functions and switches off the scattering calculation.

Fermi¶

Calling sequence

Equilibrium{ Fermi }

Properties

type: \(\mathrm{real\;number}\)
unit: \(\mathrm{eV}\)

Functionality

Sets the Fermi energy.

SplitFermi¶

Calling sequence

Equilibrium{ SplitFermi }

Properties

choices: yes; no
default: no

Functionality

If yes, splits the Fermi level for electrons and holes by the potential drop per period.

FermiElectron¶

Calling sequence

Equilibrium{ FermiElectron }

Properties

type: \(\mathrm{real\;number}\)
unit: \(\mathrm{eV}\)

Dependencies

Requires EnergyBorderElectronHole.

Functionality

If SplitFermi = no, sets the quasi-Fermi energy for electrons.

FermiHole¶

Calling sequence

Equilibrium{ FermiHole }

Properties

type: \(\mathrm{real\;number}\)
unit: \(\mathrm{eV}\)

Dependencies

Requires EnergyBorderElectronHole.

Functionality

If SplitFermi = no, sets the quasi-Fermi energy for holes.

EnergyBorderElectronHole¶

Calling sequence

Equilibrium{ EnergyBorderElectronHole }

Properties

type: \(\mathrm{real\;number}\)
unit: \(\mathrm{eV}\)

Functionality

Sets the energy border for distinguishing electrons and holes. It is used in the energy integration of carrier densities as well as for the background density calculation if AssumeIntrinsicNeutrality is yes.

Last update: 29/10/2024