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Effects of Electron(Hole)–SO‐Phonon Coupling on the Ground Exciton State in Quantum Wires
Author(s) -
Sheng WeiDong,
Gu ShiWei
Publication year - 1993
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221780214
Subject(s) - exciton , phonon , hamiltonian (control theory) , ground state , condensed matter physics , physics , biexciton , electron , binding energy , wave function , quantum mechanics , mathematical optimization , mathematics
Taking account of electron(hole)–SO‐phonon coupling, the ground exciton state in free‐standing quantum‐well wires with circular cross‐section is studied in detail. Two unitary transformations are carried out, the SO‐phonon‐induced potential in ϱ‐direction and the SO‐phonon‐induced interaction between an electron and a hole in z ‐direction as well as the effective Hamiltonian of the exciton–SO‐phonon systems are obtained. The ground exciton state binding energy is calculated from a trial wave function separable in spatial coordinates. An unexpected result is obtained: although the electron (hole)–SO‐phonon coupling is very strong in quantum wires, its influence on the exciton binding energy is not so notable as that in 3D or 2D exciton‐phonon systems.