  Two-mode charge (pair) coherent states has been introduced previously by
using $<\eta|$ representation. In the present paper we reobtain these states by
a rather different method. Then, using the nonlinear coherent states approach
and based on a simple manner by which the representation of two-mode charge
coherent states is introduced, we generalize the bosonic creation and
annihilation operators to the $f$-deformed ladder operators and construct a new
class of $f$-deformed charge coherent states. Unlike the (linear) pair coherent
states, our presented structure has the potentiality to generate a large class
of pair coherent states with various nonclassicality signs and physical
properties which are of interest. Along this purpose, we use a few well-known
nonlinearity functions associated with particular quantum systems as some
physical appearances of our presented formalism. After introducing the explicit
form of the above correlated states in two-mode Fock-space, several
nonclassicality features of the corresponding states (as well as the two-mode
linear charge coherent states) are numerically investigated by calculating
quadrature squeezing, Mandel parameter, second-order correlation function,
second-order correlation function between the two modes and Cauchy-Schwartz
inequality. Also, the oscillatory behaviour of the photon count and the
quasi-probability (Husimi) function of the associated states will be discussed.
