Correction to: Scientific Reports https://doi.org/10.1038/s41598-021-04710-w, published online 28 January 2022


The original version of this Article contained errors.


The paragraph following Eq. 34 was incomplete.


“The numerical solution must meet these two boundary conditions.”


now reads:


“Note that \({x}_{end}\) refers to the end of the semiconductor model, at the insulator layer \(({x}_{ins})\). The numerical solution must meet these two boundary conditions.”


Additionally, Eq. 35 was incorrect and contained a duplication of the term \({dx}^{{\prime}}.\)

$$\frac{{\partial }^{2}\phi }{\partial {x}^{2}}=-\frac{\partial E}{\partial x}=-\frac{\rho }{\epsilon }\Rightarrow \phi (x)-\phi (0)=-\underset{0}{\overset{x}{\int }}Edx=-\frac{1}{\epsilon }\underset{0}{\overset{x}{\int }}\underset{0}{\overset{{x}^{{\prime}}}{\int }}\rho d{x}^{{\prime}}d{x}^{{\prime}}$$
(35)

now reads:

$$\frac{{\partial }^{2}\phi }{\partial {x}^{2}}=-\frac{\partial E}{\partial x}=-\frac{\rho }{\epsilon }\Rightarrow \phi (x)-\phi (0)=-\underset{0}{\overset{x}{\int }}Edx=-\frac{1}{\epsilon }\underset{0}{\overset{x}{\int }}\underset{0}{\overset{{x}^{{\prime}}}{\int }}\rho d{x}^{{{\prime\prime}}}d{x}^{{\prime}}$$
(35)

Lastly, in the Numerical results section, under subheading ‘Identifying optimal parameters’,


“One can see (Fig. 11), that the smaller wavelength the temperature is smaller.”


now reads:


“One can see (Fig. 11), that the longer the wavelength, the smaller the temperature.”


The original Article has been corrected.