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qcl:simulation_output [2021/09/07 16:48] thomas.grange [Output in basis sets (ReducedRealSpace, WannierStark, TightBinding)] |
qcl:simulation_output [2022/09/20 17:10] (current) thomas.grange |
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| * ''Oscillator_Strength.mat'' gives the oscillator strengths. | * ''Oscillator_Strength.mat'' gives the oscillator strengths. | ||
| + | === Oscillator strength === | ||
| + | The oscillator strength is calculated from the formula | ||
| + | $$ | ||
| + | f_{\alpha \beta} = \frac{2 \vert p_{\alpha \beta}\vert^2}{m_0 (E_{\beta} - E_{\alpha})} | ||
| + | $$ | ||
| + | Note that the electron mass $m_0$ entering the above formula is the bare electron mass. | ||
| + | |||
| + | This oscillator strength (which is sometimes referred as the unnormalized one), differs from the usual definition in the single band case by the ratio $m^*/m_0$, i.e. $\frac{m^*}{m_0} f_{\alpha \beta}$ is called the normalized oscillator strength. | ||
| + | |||
| + | The advantage of this unnormalized definition is that it is general enough to be applied to the multiband case. | ||
| + | |||
| + | Note that in the parabolic single-band case, the usual sum-rule is retrieved by using the normalized definition | ||
| + | $$ | ||
| + | \sum_{\beta \neq \alpha} \frac{m^*}{m_0} f_{\alpha \beta} = 1 | ||
| + | $$ | ||
| === In-plane discretization === | === In-plane discretization === | ||
qcl/simulation_output.1631033280.txt.gz · Last modified: 2021/09/07 16:48 by thomas.grange
