DeviceSlaterKosterCalculator

class DeviceSlaterKosterCalculator(electrode_calculators=None, basis_set=None, pair_potentials=None, numerical_accuracy_parameters=None, iteration_control_parameters=None, device_algorithm_parameters=None, poisson_solver=None, contour_parameters=None, electrode_voltages=None, electrode_temperatures=None, checkpoint_handler=None, spin_polarization=None, dynamical_matrix_parameters=None, hamiltonian_derivatives_parameters=None, parallel_parameters=None)

The constructor for the DeviceSlaterKosterCalculator.

Parameters:
  • electrode_calculators (list of SlaterKosterCalculator) – A list of SlaterKosterCalculator objects containing a calculator for each electrode.
  • basis_set (SlaterKosterTable | DFTBDirectory | HotbitDirectory) – An object describing the basis set used for the SlaterKoster calculation.
  • pair_potentials (DFTBDirectory | HotbitDirectory | list of PairPotential) – The repulsive pair potentials used for total energy and force calculations
    Default: No pair potential
  • numerical_accuracy_parameters (NumericalAccuracyParameters) –

    The NumericalAccuracyParameters used for the self-consistent SlaterKoster calculation.
    Default:

    NumericalAccuracyParameters(
        density_mesh_cutoff=10*Hartree,
        k_point_sampling=MonkhorstPackGrid(1, 1, 100),
        radial_step_size=0.01*Angstrom,
        density_cutoff=1e-6,
        interaction_max_range=10*Angstrom,
        number_of_reciprocal_points=1024,
        reciprocal_energy_cutoff=1250*Hartree,
        occupation_method=FermiDirac(300*Kelvin))
    
  • iteration_control_parameters (IterationControlParameters) – The IterationControlParameters used for the self-consistent SlaterKoster calculation. For non-self-consistent calculations set this parameter to NonSelfconsistent.
    Default: NonSelfconsistent
  • device_algorithm_parameters (DeviceAlgorithmParameters) –

    The DeviceAlgorithmParameters used for the device simulation
    Default:

    DeviceAlgorithmParameters(
        initial_density_type=NeutralAtom(
            electrode_constraint_length=10.*Angstrom),
        electrode_constraint=ElectrodeConstraint.Off,
        self_energy_calculator_real=RecursionSelfEnergy(
            storage_strategy=SaveInMemory(),
            tolerance=1e-13,
            maximum_iteration=400),
        self_energy_calculator_complex=RecursionSelfEnergy(
            storage_strategy=SaveInMemory(),
            tolerance=1e-13,
            maximum_iteration=400),
        non_equilibrium_method=GreensFunction(),
        equilibrium_method=GreensFunction(),
        store_grids=True,
        store_basis_on_grid=Automatic,
        scf_restart_step_length=0.1*Angstrom,
        enforce_different_electrodes=False)
    

    Note that the electrode constraint for a SurfaceConfiguration will be set to ElectrodeConstraint.DensityMatrix(electrode_constraint_length=10.0*Angstrom.

  • poisson_solver (DirectSolver | MultigridSolver | FastFourier2DSolver) – The Poisson solver used to determine the electrostatic potential.
    Default: Configuration dependent. FastFourier2DSolver for a DeviceConfiguration without any metallic or dielectric SpatialRegion. For others: MultigridSolver. The default boundary conditions are [PeriodicBoundaryCondition, PeriodicBoundaryCondition, DirichletBoundaryCondition].
  • contour_parameters (ContourParameters) –

    The parameters used for the complex contour integration.
    Default:

    ContourParameters(
        equilibrium_contour=SemiCircleContour(
            integral_lower_bound=1.5*Hartree,
            circle_eccentricity=0.3,
            logarithmic_bunching=0.3,
            circle_points=30,
            fermi_line_points=10,
            fermi_function_poles=8),
        non_equilibrium_contour=RealAxisContour(
            real_axis_point_density=0.001*Hartree,
            real_axis_infinitesimal=0.001*Hartree,
            real_axis_kbt_padding_factor=5.0),
        method=DoubleContour())
    
  • electrode_voltages (PhysicalQuantity of type electrical potential) – The voltages applied to the electrodes as a PhysicalQuantity of length 2.
    Default: (0.0, 0.0) * Volt
  • electrode_temperatures (Sequence of PhysicalQuantity of type temperature) – The temperatures used in the Fermi-Dirac distribution of the electrodes. They represent the physical temperatures used for the integration of the transmission spectra.
    Default: (300, 300) * Kelvin
  • checkpoint_handler (CheckpointHandler) – The CheckpointHandler used for specifying the save-file and the time interval. between saving the calculation during the scf-loop.
    Default: A default CheckpointHandler object.
  • spin_polarization (Unpolarized | Polarized | Noncollinear | SpinOrbit) – Flag indicating if the calculation is spin-polarized or not.
    Default: Unpolarized
  • dynamical_matrix_parameters (not used) –

    Deprecated since version 2015: See the DynamicalMatrix analysis object.

  • hamiltonian_derivatives_parameters (not used) –

    Deprecated since version 2015: See the HamiltonianDerivatives analysis object.

  • parallel_parameters (ParallelParameters) – The parameters used to control parallelization options.
    Default: ParallelParameters(processes_per_saddle_search=1)
basisSet()
Returns:The basis set associated with the Hamiltonian parametrization.
Return type:BasisSet
checkpointHandler()
Returns:The CheckpointHandler used for specifying the save-file and the time interval. between saving the calculation during the scf-loop.
Return type:CheckpointHandler
contourParameters()
Returns:The contour integral parameters.
deviceAlgorithmParameters()
Returns:The device algorithm parameters.
Return type:DeviceAlgorithmParameters
dynamicalMatrixParameters()

This method is deprecated.

electrodeCalculators()
Returns:The electrode calculator of each electrode.
Return type:list of SemiEmpiricalCalculator
electrodeTemperatures()
Returns:The electrode temperatures.
Return type:Sequence of PhysicalQuantity of type temperature.
electrodeVoltages()
Returns:The electrode voltages as PhysicalQuantity of length 2.
Return type:PhysicalQuantity of type electrical potential
hamiltonianDerivativesParameters()

This method is deprecated.

hamiltonianParametrization()
Returns:The Hamiltonian parametrization associated with a semi-empirical calculator.
Return type:SemiEmpiricalHamiltonianParametrization
isConverged()
Returns:True when the call to “update()” resulted in a converged SCF loop.
Return type:bool
iterationControlParameters()
Returns:The IterationControlParameters used for a self-consistent calculation. For non-self-consistent calculations this parameter is NonSelfconsistent.
Return type:IterationControlParameters
metatext()
Returns:The metatext of the object or None if no metatext is present.
Return type:str | unicode | None
numberOfSpins()
Returns:The number of spins.
Return type:int
numericalAccuracyParameters()
Returns:The NumericalAccuracyParameters used for the self-consistent Huckel calculation.
Return type:NumericalAccuracyParameters
pairPotentials()
Returns:The repulsive pair potentials used for total energy and force calculations.
Return type:PairPotential
parallelParameters()
Returns:The parameters used to control parallelization options.
Return type:ParallelParameters
poissonSolver()
Returns:The Poisson solver used to determine the electrostatic potential.
Return type:DirectSolver | MultigridSolver | FastFourierSolver | FastFourier2DSolver
setBasisSet(basis_set)

Set the basis set.

Parameters:basis_set (SlaterKosterTable | DFTBDirectory | HotbitDirectory) – An object describing the basis set used for the calculation.
setCheckpointHandler(checkpoint_handler)

Set the the checkpoint handler.

Parameters:checkpoint_handler (CheckpointHandler) – The CheckpointHandler used for specifying the save-file and the time interval. between saving the calculation during the scf-loop.
setHamiltonianParametrization(hamiltonian_parametrization)

Set and check the Hamiltonian parametrization.

Parameters:hamiltonian_parametrization (HamiltonianParametrization) – An object describing the Hamiltonian parametrization for the semi-empirical calculation.
setIterationControlParameters(iteration_control_parameters)

Set the iteration control parameters.

Parameters:iteration_control_parameters (IterationControlParameters) – The IterationControlParameters used for a self-consistent calculation. For non-self-consistent calculations this parameter is NonSelfconsistent.
setMetatext(metatext)

Set a given metatext string on the object.

Parameters:metatext (str | unicode | None) – The metatext string that should be set. A value of “None” can be given to remove the current metatext.
setNumericalAccuracyParameters(numerical_accuracy_parameters)

Set the numerical accuracy parameters.

Parameters:numerical_accuracy_parameters (NumericalAccuracyParameters) – The NumericalAccuracyParameters used for the self-consistent Huckel calculation.
setPairPotentials(pair_potentials)

Set the pair potentials.

Parameters:pair_potentials (PairPotential) – The repulsive pair potentials used for total energy and force calculations.
setParallelParameters(parallel_parameters)

Set the parallel paramters.

Parameters:parallel_parameters (ParallelParameters) – The parameters used to control parallelization options.
setPoissonSolver(poisson_solver)

Set the poisson solver.

Parameters:poisson_solver (DirectSolver | MultigridSolver | FastFourierSolver | FastFourier2DSolver) – The Poisson solver used to determine the electrostatic potential.
setSpinPolarization(spin_polarization)

Set the spin polarization.

Parameters:spin_polarization (Unpolarized | Polarized | Noncollinear | SpinOrbit) – Flag indicating if the calculation is spin-polarized or not.
spinPolarization()
Returns:Flag indicating if the calculation is spin-polarized or not.
Return type:Unpolarized | Polarized | Noncollinear | SpinOrbit
upgrade(configuration)
versionUsed()
Returns:The version of ATK used to update the calculator.
Return type:str

Attention

The DeviceSlaterKosterCalculator is being deprecated. Use the DeviceSemiEmpiricalCalculator with the SlaterKosterHamiltonianParametrization instead.

Usage Examples

Define a DeviceSlaterKosterCalculator with a Vogl tight-binding basis (see also SlaterKosterTable)

calculator = Deviceslaterkostercalculator(
    basis_set=Vogl.Silicon_Basis,
    )

Restart a DeviceSlaterKosterCalculator calculation using the self-consistent state from a previous calculation

# Read in the DeviceConfiguration with the old SCF state
old_calculation=nlread("filename.nc", DeviceConfiguration)[0]

# Define the DeviceConfiguration with similar number of atoms
new_calculation=DeviceConfiguration(...)

# extract the old calculator
old_calculator = old_calculation.calculator()

# make a clone of the old calculator
new_calculator = old_calculator()

# Attach the calculator and use the old initial state
new_calculation.setCalculator(new_calculator, initial_state=old_calculation)

Notes

The parameters for the constructor of a DeviceSlaterKosterCalculator object and the parameters of its electrode calculators must fulfill the conditions below. If the user has not set an electrode parameter, QuantumATK will then generate the parameter using the rules below:

  • The NumericalAccuracyParameters must be the same for the electrodes and the device. The central region of the device does not use k-points in the C-direction and this parameter is only used for the electrodes. The electrodes need a very dense k-point sampling in the C direction.
  • The poisson_solver must be set to the MultigridSolver or the DirectSolver with the same boundary conditions in the A and B directions for the electrodes and device. In the C directions the user setting is ignored and the program always uses PeriodicBoundaryCondition for the electrodes and DirichletBoundaryCondition for the device.
  • The electrode_voltages give rise to a shift of the Fermi levels of the electrodes by \(-e V_\mathrm{bias}\), where \(V_\mathrm{bias}\) is the applied bias. Thus, a positive \(V_\mathrm{bias}\) on the right electrode, gives rise to an electron flow from left to right, corresponding to an electrical current from right to left.

For the details of the Slater-Koster model, see the chapter on ATK-SE.