Peierls-Froehlich instability and Kohn anomaly

Journal Article · Fri Jul 01 04:00:00 EDT 1994 · Journal of Statistical Physics

DOI:https://doi.org/10.1007/BF02188659· OSTI ID:471836

Pule, J V; Verbeure, A; Zagrebnov, V A ^[1]

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1. Universiteit Leuven (Belgium)

A mathematical basis is given to the Peierls-Froehlich instability and the Kohn anomaly. The techniques and ideas are based on the recently developed mathematical theory of quantum fluctuations and response theory. We prove that there exists a unique resonant one-mode interaction between electrons and phonons which is responsible for the Peierls-froehlich instability and the phase transition in the Mattis-Langer model. We prove also that the softening of this phonon mode at the critical temperature (Kohn anomaly) is a consequence of the critical slowing down of the dynamics of the lattice distortion fluctuations. It is the result of the linear dependence of two fluctuation operators corresponding to the frozen charge density wave and the distortion order parameter.

• Sponsoring Organization: USDOE
• OSTI ID: 471836
• Journal Information: Journal of Statistical Physics, Journal Name: Journal of Statistical Physics Journal Issue: 1-2 Vol. 76; ISSN JSTPBS; ISSN 0022-4715
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
99 GENERAL AND MISCELLANEOUS
ELECTRIC CONDUCTORS
ELECTRON-PHONON COUPLING
FLUCTUATIONS
HAMILTONIANS
INSTABILITY
MATHEMATICAL MODELS
PHASE TRANSFORMATIONS
STATISTICAL MECHANICS