Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Charge frustration and quantum criticality for strongly correlated
  fermions   We study a model of strongly correlated electrons on the square lattice which
exhibits charge frustration and quantum critical behavior. The potential is
tuned to make the interactions supersymmetric. We establish a rigorous
mathematical result which relates quantum ground states to certain tiling
configurations on the square lattice. For periodic boundary conditions this
relation implies that the number of ground states grows exponentially with the
linear dimensions of the system. We present substantial analytic and numerical
evidence that for open boundary conditions the system has gapless edge modes.

2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas