Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phase Diagram of strongly correlated one-dimensional fermions in
  incommensurate potentials   We study the interplay between strong correlations and incommensurability on
fermions using mean field as well as exact many-body Lanczos diagonalization
techniques. In a two-dimensional parameter space, mean field phase diagram of
infinite system shows a critical phase with multifractal characteristics
sandwiched between a Bloch-type extended and a localized phase. Exact numerical
computation on finite size systems of the Kohn charge stiffness Dc,
characterizing transport properties, and the charge exponent Krho,
characterizing the superconducting pairing fluctuations, shows the existence of
a phase with superconducting correlations. This phase may be characterized by a
power law scaling of the charge stiffness constant in contrast to the Anderson
localized phase where Dc scales exponentially with the size of the system. We
argue that this intermediate phase may be a dressed up analog of the critical
phase of the noninteracting fermions in an incommensurate potential.

34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn