Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Hall Number, Optical Sum Rule and Carrier Density for the
  $t$-$t'$-$J$ model   We revisit the relationship between three classical measures of particle
number, namely the chemical doping $x$, the Hall number $x_{hall}$ and the
particle number inferred from the optical sum rule $x_{opt}$. We study the
$t$-$t'$-$J$ model of correlations on a square lattice, as a minimal model for
High $T_c$ systems, using numerical methods to evaluate the low temperature
Kubo conductivites. These measures disagree significantly in this type of
system, owing to Mott Hubbard correlations. The Hall constant has a complex
behavior with several changes of sign as a function of filling $x$, depending
upon the model parameters. Thus $x_{hall}$ depends sensitively on $t'$ and $J$,
due to a kind of quantum interference.

9
The categories of this paper are: nlin
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn