Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fluctuations of spin transport through chaotic quantum dots with
  spin-orbit coupling   As devices to control spin currents using the spin-orbit interaction are
proposed and implemented, it is important to understand the fluctuations that
spin-orbit coupling can impose on transmission through a quantum dot. Using
random matrix theory, we estimate the typical scale of transmitted charge and
spin currents when a spin current is injected into a chaotic quantum dot with
strong spin-orbit coupling. These results have implications for the functioning
of the spin transistor proposed by Schliemann, Egues, and Loss. We use a
density matrix formalism appropriate for treating arbitrary input currents and
indicate its connections to the widely used spin-conductance picture. We
further consider the case of currents entangled between two leads, finding
larger fluctuations.

14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con