Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative measure for the spin-charge separation in two dimensional
  Hubbard model   We introduce a qauantitative measure of spin-charge separation, $\zeta (t)$
which is based on the difference between the fluctuations with respect to
background of the spin and charge profiles at any time t and is suitable for
studying the non-equilibrium dynamics of excitations in strongly correlated
systems. This quantity is not only a direct measure of the spin-charge
separation in strongly correlated systems, but its long time behaviour can
further serve as a possible order parameter for the interaction induced (Mott)
insulating state. Within the nu- merically exact diagonzalization we calculate
this quantity for the two dimensional Hubbard model away from Half filling. Our
quantitative measure in chain, ladder and two-dimensional geometries gives the
same order of magnitude for the quantity of spin-charge separation. Furthermore
from the temporal behaviour of $\zeta (t)$ a threshold time can be identified
that provides clues onto the breakdown of underlying Mott insulating phase.

17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess