Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Permanent magnetic moment in mesoscopic metals with spin-orbit
  interaction   We argue that at zero temperature an isolated metal particle (or an AB ring)
with spin-orbit interaction and odd number of electrons will have a permanent
magnetic moment, even in zero magnetic field (flux). In a zero-field-cooled
state both the direction and the magnitude of the moment varies from particle
to particle and averages to zero. In a field-cooled state it averages to $\sim
\mu_{B}(k_{F}\ell) ^{1/2}$. We argue that the permanent moment is due to an
uncompensated electron in the last occupied (Fermi) level. We introduce an
effective single-electron Hamiltonian which accounts for spin-orbit coupling.

13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th