Resonance Scattering of Phonons at Trigonal Jahn‐Teller Centres

Rueff, Martine; Sigmund, E.; Wagner, M.

doi:10.1002/pssb.2220810211

Cited by 9 publications

(1 citation statement)

References 8 publications

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“…In order to regularize the intrinsic infra-red and ultraviolet divergences, the impurity scattering T -matrix approach is used. Such an approach was used in earlier works in different contexts [28][29][30][31][32][33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

T -matrix approach to the phonon-mediated Casimir interaction

2019

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We develop a theory of the phonon mediated Casimir interaction between two point-like impurities, which is based on the single impurity scattering T -matrix approach. We show that the Casimir interaction at T = 0 falls off as a power law with the distance between the impurities. We find that the power in the weak and unitary phonon-impurity scattering limits differs, and we relate the power law to the low-energy properties of the single impurity scattering T -matrix. In addition, we consider the Casimir interaction at finite temperature and show that at finite temperatures the Casimir interaction becomes exponential at large distances.

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Section: Introductionmentioning

confidence: 99%

T -matrix approach to the phonon-mediated Casimir interaction

2019

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Phonon Scattering at Multi‐Level Impurities

Michel

Wagner

1978

Annalen der Physik

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Abstra,ct. A Green's function tecllniqnc is used to calculate t,lie dispersion and damping of phonons at tunneling centers wit,h internal degrees of freedom. Starting from a model for tunneling centers oriented in (1 00)-orientations, we decouyle the evolut.ion hierarchy of Green's functions in second order. A further iterat.ion of the resulting integral equation leads to dispersion and damping.The frequency power law differs for t.he even and odd parity phonons, which are involved in the local tmnsitions. In a second approach the darnping is recaloulated by nieitns of a scattering formalism, which steps directly into the fourth order. This direct, method shows an extension of the renormalization of the local energy spacings and of t.he homogeneous linewidtha. fhonon-St8reiiiing an Fremdatonion mit mehreren SiveausI n h a l t s l b e r s i c h t . Die Dispersion und DPmpfung von Phononen, die an Tunnelzentren mit lokalen Freiheitagraden gestreut werden, wird mit einer (:recnf unktionsmethode berechnet. Ausgangspunkt, ist ein Modell von Tunnelzentren mit Orientierung in die (100)-Richtungen. Eine Entkopplung der Hierarehie von Greenfunktionen in xweiter Ordnung und eine Iteration der rcsultierenden Integralgleichung zeigt, daB bei Yhononen gerader und ungerader Pitritiit, die lolrale ffbergiinge induzieren, untersehiedliehes Frequenzverhtllten in Dispciuion und DLmpfung auftritt. In einem weiteren Teil wird die Diimpfung mit Hilfe eines Stretiformalismus berechnet, der direkt in die vierte Ordnnng fiihrt. Diesc direkte Methode zeigt. eine Erweiterung in der Renormalisiernng der lokitlen Energiediffcrenzen und der homogenen Linicnbreiten.

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

Sigmund

Laßmann

1982

Physica Status Solidi (b)

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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.

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Resonance Scattering of Phonons at Trigonal Jahn‐Teller Centres

Cited by 9 publications

References 8 publications

T -matrix approach to the phonon-mediated Casimir interaction

T -matrix approach to the phonon-mediated Casimir interaction

Phonon Scattering at Multi‐Level Impurities

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

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