PLaSK User Manual

DriftDiffusion2D Class

class electrical.ddm2d.DriftDiffusion2D(name="")

Finite element drift-diffusion electrical solver for 2D Cartesian geometry.

Methods

compute([loops]) Run drift-diffusion calculations
find_energy_levels() Run energy levels calculations - TEST
get_total_current([nact]) Get total current flowing through active region [mA]
initialize() Initialize solver.
invalidate() Set the solver back to uninitialized state.

Attributes

Receivers

inTemperature Receiver of the temperature required for computations [K].

Providers

outBandEdges Provider of the computed conduction and valence band edges [eV].
outCarriersConcentration Provider of the computed carriers concentration [1/cm³].
outCurrentDensityForElectrons Provider of the computed current density [kA/cm²].
outCurrentDensityForHoles Provider of the computed current density [kA/cm²].
outFermiLevels Provider of the computed quasi-Fermi levels for electrons and holes [eV].
outHeat Provider of the computed heat sources density [W/m³].
outPotential Provider of the computed potential [V].

Other

FullIon True if dopants are completely ionized
Pol True if polarization effects are taken into account
Raug True if Auger recombination is taken into account
Rrad True if radiative recombination is taken into account
Rsrh True if SRH recombination is taken into account
SchottkyN Schottky barrier for n-type constact
SchottkyP Schottky barrier for p-type constact
algorithm Chosen matrix factorization algorithm
geometry Geometry provided to the solver
id Id of the solver object.
initialized True if the solver has been initialized.
itererr Allowed residual iteration for iterative method
iterlim Maximum number of iterations for iterative method
logfreq Frequency of iteration progress reporting
loopsFn Loops limit for the electrons quasi-Fermi level
loopsFp Loops limit for the holes quasi-Fermi level
loopsV Loops limit for the potential
loopsV0 Loops limit for the built-in potential
loopsVi Loops limit for the initial potential estimate
maxerrFn Limit for the electrons quasi-Fermi level updates
maxerrFp Limit for the holes quasi-Fermi level updates
maxerrV Limit for the potential updates
maxerrV0 Limit for the built-in potential updates
maxerrVi Limit for the initial potential estimate updates
mesh Mesh provided to the solver
voltage_boundary Boundary conditions of the first kind (constant potential)

Descriptions

Method Details

DriftDiffusion2D.compute(loops=0)

Run drift-diffusion calculations

DriftDiffusion2D.find_energy_levels()

Run energy levels calculations - TEST

DriftDiffusion2D.get_total_current(nact=0)

Get total current flowing through active region [mA]

DriftDiffusion2D.initialize()

Initialize solver.

This method manually initialized the solver and sets initialized to True. Normally calling it is not necessary, as each solver automatically initializes itself when needed.

Returns:solver initialized state prior to this method call.
Return type:bool
DriftDiffusion2D.invalidate()

Set the solver back to uninitialized state.

This method frees the memory allocated by the solver and sets initialized to False.

Receiver Details

DriftDiffusion2D.inTemperature

Receiver of the temperature required for computations [K].

You will find usage details in the documentation of the receiver class TemperatureReceiver2D.

Example

Connect the reveiver to a provider from some other solver:

>>> solver.inTemperature = other_solver.outTemperature

See also

Receciver class: plask.flow.TemperatureReceiver2D

Provider class: plask.flow.TemperatureProvider2D

Data filter: plask.filter.TemperatureFilter2D

Provider Details

DriftDiffusion2D.outBandEdges(n=0, mesh, interpolation='default')

Provider of the computed conduction and valence band edges [eV].

Parameters:
  • n (int) – Value number.
  • mesh (mesh) – Target mesh to get the field at.
  • interpolation (str) – Requested interpolation method.
Returns:

Data with the conduction and valence band edges on the specified mesh [eV].

You may obtain the number of different values this provider can return by testing its length.

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inBandEdges = solver.outBandEdges

Obtain the provided field:

>>> solver.outBandEdges(0, mesh)
<plask.Data at 0x1234567>

Test the number of provided values:

>>> len(solver.outBandEdges)
3

See also

Provider class: plask.flow.BandEdgesProvider2D

Receciver class: plask.flow.BandEdgesReceiver2D

DriftDiffusion2D.outCarriersConcentration(n=0, mesh, interpolation='default')

Provider of the computed carriers concentration [1/cm³].

Parameters:
  • type (str) – Detailed information which carriers are returned. It can be ‘majority’ to return majority carriers in given material, ‘pairs’ for the concentration of electron-hole pairs, ‘electrons’, or ‘holes’ for particular carriers type.
  • mesh (mesh) – Target mesh to get the field at.
  • interpolation (str) – Requested interpolation method.
Returns:

Data with the carriers concentration on the specified mesh [1/cm³].

You may obtain the number of different values this provider can return by testing its length.

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inCarriersConcentration = solver.outCarriersConcentration

Obtain the provided field:

>>> solver.outCarriersConcentration(0, mesh)
<plask.Data at 0x1234567>

Test the number of provided values:

>>> len(solver.outCarriersConcentration)
3
DriftDiffusion2D.outCurrentDensityForElectrons(mesh, interpolation='default')

Provider of the computed current density [kA/cm²].

Parameters:
  • mesh (mesh) – Target mesh to get the field at.
  • interpolation (str) – Requested interpolation method.
Returns:

Data with the current density on the specified mesh [kA/cm²].

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inCurrentDensity = solver.outCurrentDensityForElectrons

Obtain the provided field:

>>> solver.outCurrentDensityForElectrons(mesh)
<plask.Data at 0x1234567>
DriftDiffusion2D.outCurrentDensityForHoles(mesh, interpolation='default')

Provider of the computed current density [kA/cm²].

Parameters:
  • mesh (mesh) – Target mesh to get the field at.
  • interpolation (str) – Requested interpolation method.
Returns:

Data with the current density on the specified mesh [kA/cm²].

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inCurrentDensity = solver.outCurrentDensityForHoles

Obtain the provided field:

>>> solver.outCurrentDensityForHoles(mesh)
<plask.Data at 0x1234567>
DriftDiffusion2D.outFermiLevels(n=0, mesh, interpolation='default')

Provider of the computed quasi-Fermi levels for electrons and holes [eV].

Parameters:
  • n (int) – Value number.
  • mesh (mesh) – Target mesh to get the field at.
  • interpolation (str) – Requested interpolation method.
Returns:

Data with the quasi-Fermi levels for electrons and holes on the specified mesh [eV].

You may obtain the number of different values this provider can return by testing its length.

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inFermiLevels = solver.outFermiLevels

Obtain the provided field:

>>> solver.outFermiLevels(0, mesh)
<plask.Data at 0x1234567>

Test the number of provided values:

>>> len(solver.outFermiLevels)
3

See also

Provider class: plask.flow.FermiLevelsProvider2D

Receciver class: plask.flow.FermiLevelsReceiver2D

DriftDiffusion2D.outHeat(mesh, interpolation='default')

Provider of the computed heat sources density [W/m³].

Parameters:
  • mesh (mesh) – Target mesh to get the field at.
  • interpolation (str) – Requested interpolation method.
Returns:

Data with the heat sources density on the specified mesh [W/m³].

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inHeat = solver.outHeat

Obtain the provided field:

>>> solver.outHeat(mesh)
<plask.Data at 0x1234567>

See also

Provider class: plask.flow.HeatProvider2D

Receciver class: plask.flow.HeatReceiver2D

DriftDiffusion2D.outPotential(mesh, interpolation='default')

Provider of the computed potential [V].

Parameters:
  • mesh (mesh) – Target mesh to get the field at.
  • interpolation (str) – Requested interpolation method.
Returns:

Data with the potential on the specified mesh [V].

Example

Connect the provider to a receiver in some other solver:

>>> other_solver.inPotential = solver.outPotential

Obtain the provided field:

>>> solver.outPotential(mesh)
<plask.Data at 0x1234567>

See also

Provider class: plask.flow.PotentialProvider2D

Receciver class: plask.flow.PotentialReceiver2D

Attribute Details

DriftDiffusion2D.FullIon

True if dopants are completely ionized

DriftDiffusion2D.Pol

True if polarization effects are taken into account

DriftDiffusion2D.Raug

True if Auger recombination is taken into account

DriftDiffusion2D.Rrad

True if radiative recombination is taken into account

DriftDiffusion2D.Rsrh

True if SRH recombination is taken into account

DriftDiffusion2D.SchottkyN

Schottky barrier for n-type constact

DriftDiffusion2D.SchottkyP

Schottky barrier for p-type constact

DriftDiffusion2D.algorithm

Chosen matrix factorization algorithm

DriftDiffusion2D.geometry

Geometry provided to the solver

DriftDiffusion2D.id

Id of the solver object. (read only)

Example

>>> mysolver.id
mysolver:category.type
DriftDiffusion2D.initialized

True if the solver has been initialized. (read only)

Solvers usually get initialized at the beginning of the computations. You can clean the initialization state and free the memory by calling the invalidate() method.

DriftDiffusion2D.itererr

Allowed residual iteration for iterative method

DriftDiffusion2D.iterlim

Maximum number of iterations for iterative method

DriftDiffusion2D.logfreq

Frequency of iteration progress reporting

DriftDiffusion2D.loopsFn

Loops limit for the electrons quasi-Fermi level

DriftDiffusion2D.loopsFp

Loops limit for the holes quasi-Fermi level

DriftDiffusion2D.loopsV

Loops limit for the potential

DriftDiffusion2D.loopsV0

Loops limit for the built-in potential

DriftDiffusion2D.loopsVi

Loops limit for the initial potential estimate

DriftDiffusion2D.maxerrFn

Limit for the electrons quasi-Fermi level updates

DriftDiffusion2D.maxerrFp

Limit for the holes quasi-Fermi level updates

DriftDiffusion2D.maxerrV

Limit for the potential updates

DriftDiffusion2D.maxerrV0

Limit for the built-in potential updates

DriftDiffusion2D.maxerrVi

Limit for the initial potential estimate updates

DriftDiffusion2D.mesh

Mesh provided to the solver

DriftDiffusion2D.voltage_boundary

Boundary conditions of the first kind (constant potential)

This field holds a list of boundary conditions for the solver. You may access and alter is elements a normal Python list. Each element is a special class that has two attributes:

place Boundary condition location (plask.mesh.RectangularBase2D.Boundary).
value Boundary condition value.

When you add new boundary condition, you may use two-argument append, or prepend methods, or three-argument insert method, where you separately specify the place and the value. See the below example for clarification.

Example

>>> solver.voltage_boundary.clear()
>>> solver.voltage_boundary.append(solver.mesh.Bottom(), some_value)
>>> solver.voltage_boundary[0].value = different_value
>>> solver.voltage_boundary.insert(0, solver.mesh.Top(), new_value)
>>> solver.voltage_boundary[1].value == different_value
True