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Porter‐Thomas Distribution of Oscillator Strengths of Quantum Well Excitons
Author(s) -
Runge E.,
Zimmermann R.
Publication year - 2000
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 - 10.1002/1521-3951(200009)221:1<269::aid-pssb269>3.0.co;2-6
Subject(s) - exciton , physics , wave function , distribution (mathematics) , quantum mechanics , momentum (technical analysis) , distribution function , field (mathematics) , ground state , statistical physics , mathematics , mathematical analysis , finance , pure mathematics , economics
Within the inhomogeneously broadened ground‐state exciton line, the distribution of oscillator strengths is studied. We present theoretical and numerical evidence for a transition from a centered distribution in the low‐energy tail (optimum fluctuation regime) to a broad, approximately exponential distribution in the high‐energy side (Porter‐Thomas distribution). This can be understood as going from Lifshitz tail states to Anderson‐localized states, which we analyze in momentum space. Near‐field optical spectroscopy of quantum wells is identified as an almost ideal system for collecting large data samples on wavefunction statistics in random systems.