Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Path-integral Monte Carlo simulations for interacting few-electron
  quantum dots with spin-orbit coupling   We develop path-integral Monte Carlo simulations for a parabolic
two-dimensional (2D) quantum dot containing $N$ interacting electrons in the
presence of Dresselhaus and/or Rashba spin-orbit couplings. Our method solves
in a natural way the spin contamination problem and allows for numerically
exact finite-temperature results at weak spin-orbit coupling. For $N<10$
electrons, we present data for the addition energy, the particle density, and
the total spin $S$ in the Wigner molecule regime of strong Coulomb
interactions. We identify magic numbers at N=3 and N=7 via a peak in the
addition energy. These magic numbers differ both from weak-interaction and
classical predictions, and are stable with respect to (weak) spin-orbit
couplings.

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The categories of this paper are: dg-ga
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The categories of this paper are: cs
2
The categories of this paper are: math
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The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an