  We study the order parameter for mixed-symmetry states involving a major
$d_{x^2-y^2}$ state and various minor s-wave states ($s$, $s_{xy}$, and
$s_{x^2+y^2}$) for different filling and temperature for mixing angles 0 and
$\pi/2$. We employ a two-dimensional tight-binding model incorporating
second-neighbor hopping for tetragonal and orthorhombic lattice. There is
mixing for the symmetric $s$ state both on tetragonal and orthorhombic lattice.
The $s_{xy}$ state mixes with the $d_{x^2-y^2}$ state only on orthorhombic
lattice. The $s_{x^2+y^2}$ state never mixes with the $d_{x^2-y^2}$ state. The
temperature dependence of the order parameters is also studied.
