EFFECTS OF ELECTRON(HOLE)-SO-PHONON COUPLING ON THE GROUND EXCITON-STATE IN QUANTUM WIRES

Taking account of electron(hole)-SO-phonon coupling, the ground excito n state in free-standing quantum-well wires with circular cross-sectio n is studied in detail. Two unitary tran formations are carried out, t he SO-phonon-induced potential in theta-direction and the SO-phonon-in duced interaction between an electron and a hole in z-direction as wel l as the effective Hamiltonian of the exciton SO-phonon systems are ob tained. The ground exciton state binding energy is calculated from a t rial wave function separable in spatial coordinates. An unexpected res ult is obtained: although the electron (hole)-SO-phonon coupling is ve ry strong in quantum wires, its influence on the exciton binding energ y is not so notable as that in 3D or 2D exciton-phonon systems.