Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Electronic structure of semiconductor nanostructures: A modified
  localization landscape theory   In this paper we present a modified localization landscape theory to
calculate localized/confined electron and hole states and the corresponding
energy eigenvalues without solving a (large) eigenvalue problem. We motivate
and demonstrate the benefit of solving $\hat{H}^2u=1$ in the modified
localization landscape theory in comparison to $\hat{H}u=1$, solved in the
localization landscape theory. We detail the advantages by fully analytic
considerations before targeting the numerical calculation of electron and hole
states and energies in III-N heterostructures. We further discuss how the
solution of $\hat{H}^2u=1$ is used to extract an effective potential $W$ that
is comparable to the effective potential obtained from $\hat{H}u=1$, ensuring
that it can for instance be used to introduce quantum corrections to
drift-diffusion transport calculations. Overall, we show that the proposed
modified localization landscape theory keeps all the benefits of the recently
introduced localization landscape theory but further improves factors such as
convergence of the calculated energies and the robustness of the method against
the chosen integration region for $u$ to obtain the corresponding energies. We
find that this becomes especially important for here studied $c$-plane
InGaN/GaN quantum wells with higher In contents. All these features make the
proposed approach very attractive for calculation of localized states in highly
disordered systems, where partitioning the systems into different subregions
can be difficult.

26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org