Open AccessOptical emission from bound states of semiconductor deep-centers
Author(s) -
Janet L. Pan
Publication year - 2001
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.9.000796
Subject(s) - physics , bound state , dipole , hamiltonian (control theory) , optics , angular momentum , scanning tunneling microscope , center (category theory) , envelope (radar) , quantum tunnelling , semiconductor , atomic physics , condensed matter physics , quantum mechanics , chemistry , telecommunications , mathematical optimization , radar , mathematics , computer science , crystallography
We find the first, simple, analytical expressions for the bound states of a short-ranged, spherically-symmetric deep center potential in terms of the eigenstates of total (spin plus Bloch plus envelope) angular momentum and the Kane 8x8 \kdp\ Hamiltonian. We find that the spatial extent of the deep center bound state is proportional to the Kane dipole. This physical size of the deep center bound state is in excellent agreement with both scanning-tunneling-microscopy and measured optical dipoles.