Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Josephson current through a nanoscale magnetic quantum dot   We present theoretical results for the equilibrium Josephson current through
an Anderson dot tuned into the magnetic regime, using Hirsch-Fye Monte Carlo
simulations covering the complete crossover from Kondo-dominated physics to
$\pi$ junction behavior in a numerically exact way. Within the `magnetic'
regime, $U/\Gamma\gg 1$ and $\epsilon_0/\Gamma\leq 1$, the Josephson current is
found to depend only on $\Delta/T_K$, where $\Delta$ is the BCS gap and $T_K$
the Kondo temperature. The junction behavior can be classified into four
different quantum phases. We describe these behaviors, specify the associated
three transition points, and identify a local minimum in the critical current
of the junction as a function of $\Delta/T_K$.

23
The categories of this paper are: solv-int
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc