Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An exactly solvable model for a strongly spin-orbit-coupled nanowire
  quantum dot   In the presence of spin-orbit coupling, quantum models for semiconductor
materials are generally not exactly solvable. As a result, understanding of the
strong spin-orbit coupling effects in these systems remains poor. Here we
develop an analytical method to solve the one-dimensional hard-wall quantum dot
problem in the presence of strong spin-orbit coupling and magnetic field, which
allows us to obtain exact eigenenergies and eigenstates of a single electron.
With the help of the exact solution, we demonstrate some unique effects from
the strong spin-orbit coupling in a semiconductor quantum dot, in particular
the anisotropy of the electron g-factor and its tunability.

1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci