Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Long-range Order in One-dimensional Spinless Fermi Gas with Attractive
  Dipole-Dipole Interaction   One-dimensional spinless Fermi gas with attractive dipole-dipole interaction
is investigated. Results obtained show when the interaction is weak, the
excitation spectrum is linear and the superconducting correlation function
decays as power law, indicating the validity of the Tomonaga-Luttinger (TL)
liquid picture. However, when the interaction reaches a critical value, the
excitation spectrum is nonlinear and the superconducting correlation function
keeps finite for infinity separation, indicating real long-range order
established and the breakdown of the TL liquid picture. We prove that the
existence of long-range order is not in contradiction with the Hohenberg
theorem and show that this system is related to the Kitaev toy model,
therefore, it has potential applications for the future topological quantum
computation.

13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph