Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fermionic many-body localization for random and quasiperiodic systems in
  the presence of short- and long-range interactions   We study many-body localization (MBL) for interacting one-dimensional lattice
fermions in random (Anderson) and quasiperiodic (Aubry-Andre) models, focusing
on the role of interaction range. We obtain the MBL quantum phase diagrams by
calculating the experimentally relevant inverse participation ratio (IPR) at
half-filling using exact diagonalization methods and extrapolating to the
infinite system size. For short-range interactions, our results produce in the
phase diagram a qualitative symmetry between weak and strong interaction
limits. For long-range interactions, no such symmetry exists as the strongly
interacting system is always many-body localized, independent of the effective
disorder strength, and the system is analogous to a pinned Wigner crystal. We
obtain various scaling exponents for the IPR, suggesting conditions for
different MBL regimes arising from interaction effects.

25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom