$quantumstate-recombination-rates

Relevant data for generation and recombination rates in quantum clusters. In quantum clusters, rates for different eigenstates can be provided and a net generation and recombination rate will be calculated.

$quantumstate-recombination-rates               optional
 rate-number                          integer   required
 quantum-region                       integer   optional
 x-left                               double    optional
 x-right                              double    optional
 threshold-frac                       double    optional
 vb-eigenstate                        integer   optional
 cb-eigenstate                        integer   optional
 netto-gen-rate                       double    optional
$end_quantumstate-recombination-rates           optional

Syntax

rate-number

type:

integer

presence:

required

example:

1

It has to be numbered from 1, 2, 3, …

quantum-region

type:

integer

example:

1

number of quantum-cluster

x-left

type:

integer

unit:

[nm]

example:

10.0

left boundary of relevant integration range

x-right

type:

integer

unit:

[nm]

example:

20.0

right boundary of relevant integration range

threshold-frac

type:

double

unit:

[]

example:

20.0

The quantum states are specified by a a certain threshold fraction of \(\psi^2\) within the region [x-left, x-right]. This is necessary for large quantum regions which extend far beyond the region of interest and therefore have many irrelevant eigenstates. The generation rate is proportional to netto_gen_rate * psiV(x)^2 * Fermi_function(x).

vb-eigenstate

type:

integer

example:

1

relevant valence band eigenstate number

cb-eigenstate

type:

integer

example:

1

relevant conduction band eigenstate number

netto_gen_rate

type:

double

example:

?

unit:

?

net generation rate