Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spinless Hartree-Fock model of persistent current in rings with single
  scatterer: Comparison with correlated models   Using the self-consistent Hartree-Fock approximation for spinless electrons
at zero temperature, we study the persistent current of the interacting
electron gas in a one-dimensional continuous ring containing a single $\delta$
barrier. We calculate the persistent current as a function of the ring
circumference, magnetic flux threading the ring, barrier strength, etc. We
compare our results with the results of correlated models like the Luttinger
liquid model and the Hubbard model solved by means of the renormalization
group. A good agreement is found. First, the persistent current decays with the
increasing ring circumference ($L$) faster than $L^{-1}$ and eventually like
$L^{-\alpha-1}$, where $\alpha>0$ depends only on the electron-electron
interaction. Second, the persistent current is a sine-shaped function of
magnetic flux. This sine-like dependence and in particular the universal power
law $L^{-\alpha-1}$ have sofar been believed to arise only in the correlated
many-body models. Observation of these features within the Hartree-Fock model
is a surprising result.

8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th