HUANG'S DIPOLE LATTICE MODEL AS APPLIED TO OPTICAL PHONON MODES IN 2D AND 1D QUANTUM SYSTEMS

A dipole lattice model proposed originally by Huang as applied to optical phonon modes in superlattices and quantum wells is reviewed, with emphasis on comparieon of boundary condition with the dielectric continuum model and linear chain model. Analytical expressions for the bulklike modes agreeing with the microscopic model have given support to the appropriate boundary condition, namely, both the displacement and potential should have nodes at the interfaces. Extention of the dipole lattice model to 1D quantum wires has demonstrated the characteristic of the optical phonon modes in 1D quantum systems for the first time.