Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ultralong-range order in the Fermi-Hubbard model with long-range
  interactions   We use the dual boson approach to reveal the phase diagram of the
Fermi-Hubbard model with long-range dipole-dipole interactions. By using a
large-scale finite-temperature calculation on a $64 \times 64$ square lattice
we demonstrate the existence of a novel phase, possessing an `ultralong-range'
order. The fingerprint of this phase -- the density correlation function --
features a non-trivial behavior on a scale of tens of the lattice sites. We
study the properties and the stability of the ultralong-range ordered phase,
and show that it is accessible in modern experiments with ultracold polar
molecules and magnetic atoms.

19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph