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Coupled longitudinal phonon‐plasmon spectrum in quantizing magnetic field
Author(s) -
Horing Norman J. Morgenstern,
Danz R. W.,
Glasser M. L.
Publication year - 2009
Publication title -
international journal of quantum chemistry
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.484
H-Index - 105
eISSN - 1097-461X
pISSN - 0020-7608
DOI - 10.1002/qua.560050885
Subject(s) - condensed matter physics , physics , phonon , plasmon , magnetic field , electron , field (mathematics) , anomaly (physics) , quantum electrodynamics , quantum mechanics , mathematics , pure mathematics
Quantum magnetic field effects on longitudinal phonon propagation are discussed, taking account of dynamic and static electron screening in the phonon spectrum. For the low frequency sound mode branch subject to static screening we discuss: ( 1 ) Quantum magnetic field corrections to the Bohm‐Staver result, ( 2 ) DeHaas‐Van Alphen oscillatory corrections to the Kohn anomaly at intermediate field strength, ( 3 ) Restructuring of the Kohn anomaly at higher magnetic field including details of the behavior of ω( p ) near p ∼ 2 p p . Considering higher frequency branches of the phonon spectrum in quantizing magnetic field, we recognize that dynamic electron screening of the phonon spectrum couples it to the many branches of the electron plasmon spectrum in magnetic field. In connection with this, coupled phonon‐plasmon modes and resonances (including the Bernstein and “quantum” types of resonances in magnetic field) are discussed in detail.