Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-Hall effect theory: new analytical solutions of the Pauli equation
  in a quantum dot   In this work, we present the analytical solution of the effective mass Pauli
equation, with Rashba and linear Dresselhaus interactions, for an electron gas
moving through a semiconductor quantum dot under a longitudinal electric field,
which is defined along the $x$-direction. We study the relative influence of
the Rashba and Dresselhaus terms on the spin-Hall effect for the first
propagating and edge channels, by analyzing the mixing between spin-up and
-down states and the zero-field spin splitting along the transverse directions.
When the spin rotation depends only on the $y$-coordinate, the spin orientation
and the spin density vary along this transverse coordinate and, in this case,
we show that the spin-Hall effect is only due to the Dresselhaus term, for
depolarized electrons. On the other hand, if the spin rotation depends on the
$z$-coordinate, the spin-Hall effect is provoked only by the Rashba
interaction.

30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org