The Influence of the Dynamic Jahn‐Teller Effect on the Phonon‐Scattering Mechanism at Acceptors in Semiconductors with Cubic Symmetry

Abstract

Phonon scattering experiments of various types in cubic semiconductors doped with deep effective mass acceptors indicate an extra resonance scattering at some meV. It is shown, using Green's function and transformation techniques that these resonances are due to a dynamic Jahn-Teller effect of the rs acceptor ground state.Phononen-Streuexperimente verschiedener Art weisen in kubischen, mit tiefen EffektivmassenAkzeptoren dotierten Halbleitern eine zusiitzliche Resonanzstreuung bei einigen meV auf. Es wird mit Hiife von Greenschen Funktionen und Transformationsmethoden gezeigt, daD diese Resonanzen durch einen dynamischen Jahn-Teller-Effekt des r,-Akzeptorgrundzustandes hervorgerufen werden.

Phonon spectroscopy

“…Secondly, when the phonon wavelength becomes less than the Bohr radius the coupling between the donor and phonon is reduced due to cancellation of the energy shifts across the Bohr orbit (Hasegawa 1960). The Jahn-Teller effect in acceptor systems has been reviewed by Sigmund (1984) while phonon spectroscopy on these systems has been discussed by Challis and de Goer (1984).…”

“…Resonant structure at higher temperatures is also observed in the more recent studies and has been described by a dynamical splitting of the Ts state due to the Jahn-Teller effect; phonon coupling splits the state into two Kramers doublets from which other phonons can be scattered. First steps to model these resonances were reported by Lassmann (1980, 1982) and Mair and Sigmund (1981). A fuller treatment of the model to describe the observed thermal conductivity of Si : In has been given by Mair and Sigmund (1984).…”