Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the lower bound on the exchange-correlation energy in two dimensions   We study the properties of the lower bound on the exchange-correlation energy
in two dimensions. First we review the derivation of the bound and show how it
can be written in a simple density-functional form. This form allows an
explicit determination of the prefactor of the bound and testing its tightness.
Next we focus on finite two-dimensional systems and examine how their distance
from the bound depends on the system geometry. The results for the high-density
limit suggest that a finite system that comes as close as possible to the
ultimate bound on the exchange-correlation energy has circular geometry and a
weak confining potential with a negative curvature.

28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
2
The categories of this paper are: math
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg