Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inter- and intra-band Coulomb interactions between holes in silicon
  nanostructures   We present a full derivation of the interaction Hamiltonian for holes in
silicon within the six-band envelope-function scheme, which appropriately
describes the valence band close to the $\boldsymbol{\Gamma}$ point. The full
structure of the single-hole eigenstates is taken into account, including the
Bloch part. The scattering processes caused by the Coulomb interaction are
shown to be both intraband and interband, the latter being mostly short-ranged.
In the asymptotic long-range limit, the effective potential tends to the
screened Coulomb potential, and becomes purely intraband, as assumed in
previous models. We apply our model to compute the excitation spectra of two
interacting holes in prototypical silicon quantum dots, taking into account
different dielectric environments. It is shown that, in the highly screened
regime, short-range interactions (both intra- and inter-band) can be very
relevant, while they lose importance when there is no screening other than the
one proper of the bulk silicon crystal. In the latter case, we predict the
formation of hole Wigner molecules.

36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ