Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One-Dimensional Fermions with neither Luttinger-Liquid nor Fermi-Liquid
  Behavior   It is well-known that, generically, the one-dimensional interacting fermions
cannot be described in terms of the Fermi liquid. Instead, they present
different phenomenology, that of the Tomonaga-Luttinger liquid: the Landau
quasiparticles are ill-defined, and the fermion occupation number is continuous
at the Fermi energy. We demonstrate that suitable fine-tuning of the
interaction between fermions can stabilize a peculiar state of one-dimensional
matter, which is dissimilar to both the Tomonaga-Luttinger and Fermi liquids.
We propose to call this state a quasi-Fermi liquid. Technically speaking, such
liquid exists only when the fermion interaction is irrelevant (in the
renormalization group sense). The quasi-Fermi liquid exhibits the properties of
both the Tomonaga-Luttinger liquid and the Fermi liquid. Similar to the
Tomonaga-Luttinger liquid, no finite-momentum quasiparticles are supported by
the quasi-Fermi liquid; on the other hand, its fermion occupation number
demonstrates finite discontinuity at the Fermi energy, which is a hallmark
feature of the Fermi liquid. Possible realization of the quasi-Fermi liquid
with the help of cold atoms in an optical trap is discussed.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph