Effective Correlation of Two Holes in a Semimagnetic Quantum Well Wire: Influence of Shape of Confining Potential on Coulomb Interaction *

The hole-hole interaction $(E_{hh})$ has been considered in a ${\rm{CdTe /Cd}}_{1-x}{\rm {Mn}}x{\rm {Te}}$ Semimagnetic Quantum Well Wire (SQWW). The influence of the shape of the confining potential like square well and parabolic well type on the binding energy of an acceptor impurity with two holes and their Coulomb interaction between them has been studied for various impurity locations. Magnetic field has been used as a probe to understand the carrier-carrier correlation in such Quasi 1-Dimensional QWW since it alters the strength of the confining potential tremendously. In order to show the significance of the correlation between the two holes, the calculations have been done with and without including the correlation effect in the ground state wavefunction of the hyderogenic acceptor impurity and the results have been compared. The expectation value of the Hamiltonian, ${H}$, is minimized variationaly in the effective mass approximation through which $(E_{hh})$ has been obtained.