quantum_poisson{ }¶

Calling sequence

run{ quantum_poisson{ } }

Properties

using: \(\mathrm{\textcolor{ForestGreen}{optional\;within\;the\;scope}}\)
items: \(\mathrm{maximum\;1}\)

Dependencies

The quantum{ } and poisson{ } must be defined.

Functionality

Triggers solving of the Schrödinger and Poisson equations self-consistently for the defined system.

Example

run{
    quantum_poisson{}
}

poisson{}
quantum{}

Nested keywords

residual¶

Calling sequence

run{ quantum_poisson{ residual } }

Properties

using: \(\mathrm{\textcolor{ForestGreen}{optional\;within\;the\;scope}}\)
type: \(\mathrm{real\;number}\)
values: [0.0, ...)
default: 1e5 for 1D; 1e3 for 2D; 1e-3 for 3D
unit: \(\mathrm{cm^{-2}\,}\) (1D) / \(\mathrm{cm^{-1}\,}\) (2D) / \(\mathrm{none\,}\) (3D)

Functionality

Defines requested residual of the integrated total charge carrier density changes. Note that this is dimension dependent and default is: 1e5/cm² (1D), 1e3/cm (2D), 1e-3[dimensionless] (3D). This applies to exact Schrödinger equation, not to subspace Schrödinger equation

Note

If you do not include enough eigenstates, the convergence behavior might be affected as the occupation of the eigenstates is not considered in a useful way.

Example

run{
    quantum_poisson{
        residual = 1e4
    }
}

poisson{}
quantum{}

iterations¶

Calling sequence

run{ quantum_poisson{ iterations } }

Properties

using: \(\mathrm{\textcolor{ForestGreen}{optional\;within\;the\;scope}}\)
type: \(\mathrm{integer}\)
values: {0, 1, 2, 3, ...}
default: 30
unit: \(\mathrm{-}\)

Functionality

Maximum number of iterations, i.e. self-consistency cycles

Example

run{
    quantum_poisson{
        iterations = 50
    }
}

poisson{}
quantum{}

use_subspace¶

Calling sequence

run{ quantum_poisson{ use_subspace } }

Properties

using: \(\mathrm{\textcolor{ForestGreen}{optional\;within\;the\;scope}}\)
type: \(\mathrm{choice}\)
choices: yes; no
default: yes

Functionality

Solve Schrödinger equation within subspace of eigenvectors of previous iteration as long as achieved residual is larger than desired residual * residual_factor and at least in every second iteration

Example

run{
    quantum_poisson{
        use_subspace = no
    }
}

poisson{}
quantum{}

subspace_iterations¶

Calling sequence

run{ quantum_poisson{ subspace_iterations } }

Properties

using: \(\mathrm{\textcolor{ForestGreen}{optional\;within\;the\;scope}}\)
type: \(\mathrm{integer}\)
values: {1, 2, 3, ..., 1000}
default: 1
unit: \(\mathrm{-}\)

Functionality

Number of subspace iterations

Example

run{
    quantum_poisson{
        subspace_iterations = 5
    }
}

poisson{}
quantum{}

subspace_residual_factor¶

Calling sequence

run{ quantum_poisson{ subspace_residual_factor } }

Properties

using: \(\mathrm{\textcolor{ForestGreen}{optional\;within\;the\;scope}}\)
type: \(\mathrm{real\;number}\)
values: [2.0, ...)
default: 1e12
unit: \(\mathrm{-}\)

Functionality

Residual factor for subspace iterations

Example

run{
    quantum_poisson{
        subspace_residual_factor = 1e10
    }
}

poisson{}
quantum{}

alpha_potential¶

Calling sequence

run{ quantum_poisson{ alpha_potential } }

Properties

using: \(\mathrm{\textcolor{ForestGreen}{optional\;within\;the\;scope}}\)
type: \(\mathrm{real\;number}\)
values: [1e-3, 1.0]
default: 1.0
unit: \(\mathrm{-}\)

Functionality

In case of stubborn convergence problems which do not appear to have any root cause such as not enough eigenvalues and which appear not to respond to any change in other parameters, try using a mildly smaller value than 1.0 such as 0.5.

Using values smaller than 1.0 per default is not recommended, as the run time is expected to increase as 1/ alpha_potential for normally converging input files.

Example

run{
    quantum_poisson{
        alpha_potential = 0.5
    }
}

poisson{}
quantum{}

output_log¶

Calling sequence

run{ quantum_poisson{ output_log } }

Properties

using: \(\mathrm{\textcolor{ForestGreen}{optional\;within\;the\;scope}}\)
type: \(\mathrm{choice}\)
choices: yes; no
default: yes

Functionality

Output of convergence of Schrödinger-Poisson equation (residuals for quantum_poisson) into the logfile iteration_quantum_poisson.dat

Example

run{
    quantum_poisson{
        output_log = no
    }
}

poisson{}
quantum{}

output_local_residuals¶

Calling sequence

run{ quantum_poisson{ output_local_residuals } }

Properties

using: \(\mathrm{\textcolor{ForestGreen}{optional\;within\;the\;scope}}\)
type: \(\mathrm{choice}\)
choices: yes; no
default: no

Functionality

Outputs residuals as functions of position when output_local_residuals = yes. In case the attribute is enabled for both a classical and quantum iterations, the quantum iteration overwrites the respective files of the classical iteration.

Example

run{
    quantum_poisson{
        output_local_residuals = yes
    }
}

poisson{}
quantum{}