Transverse Conductivity of a Degenerate System of Landau Electrons and Optical Phonons

Dworin, Lowell

doi:10.1103/physrev.140.a1689

Cited by 15 publications

(3 citation statements)

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“…Near the threshold E = w o the function G may be found by using a method developed by Levinson et a1 (1971c), and based on the ideas of Pitaevskii (1959) on the study of the spectrum near a decay threshold. Technically, the problem is simplified by the fact that the exact Green function is diagonal in the Landau representation (Holstein 1964, Dworin 1965, Levinson et al1971a), and also because a gauge-invariant diagram technique may be used which does not contain the electron quantum numbers p , or M , the choice of which depends on the calibration of the vector potential (Levinson et al 1971a). This approach was used to derive the spectrum of G for I > 0 and the DO interaction (Levinson 1970, Levinson et al 197 1 c).…”

Section: Theory (Weak Coupling)mentioning

confidence: 99%

Electron-phonon and exciton-phonon bound states

1973

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A review is given of the theoretical and experimental work which has shown the possibility of forming bound states of an electron or an exciton with an optical phonon. The specific feature of these bound states is that an unconserved particle (a phonon) contributes to their formation; such states are stable only because their decay is forbidden by the conservation laws for energy and momentum. As distinct from the virtual phonons of a polaron 'cloud', the phonon which takes part in the formation of a bound state is almost real. Most attention is devoted to wide-band systems, in which the width of the electron (or exciton) band is larger than the phonon frequency; this is the normal situation for semiconductors and ionic crystals. I n these systems bound states are formed near the threshold for phonon emission. T h e formation of bound states is favoured by strong electron-phonon coupling, small phonon dispersion, and a large mass for the particle which interacts with the phonons. Hybrid states occupy an intermediate position between bound states and the usual polaron states; these arise when the energy of an optical phonon is equal to one of the electronic frequencies, and under these conditions the distinction between 'virtual' and 'real' phonons practically disappears. A discussion is also given of excitons in molecular crystals, which are treated as narrow-band systems; here the existence of bound states is not related to the presence of a threshold in the exciton spectrum. T h e existence of bound and hybrid states must have a marked effect on a number of physical phenomena, in particular the optical properties, as has already been demonstrated in a series of experiments.

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Section: Theory (Weak Coupling)mentioning

confidence: 99%

Electron-phonon and exciton-phonon bound states

1973

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“…This equation is written in the gauge invariant diagram technique [118], therefore only Landau index s is used for the electrons (solid lines) while the gauge noninvariant quantum number m of the spatial quantization is absent. The exact electron Green function, G is diagonal in s [118,119,120] but G is not diagonal in m because lack of the translation invariance in the growth z-direction. The assumption ∆E d ≫ hω B , hω 0 permits, however, to neglect the off-diagonal elements of G mm ′ which simplifies essentially the integral equation for Σ.…”

Section: Integral Equation For the Electron-phonon Scattering Amplitu...mentioning

confidence: 99%

Paradigms of modern epileptology

Badalian¹,

Burd²,

Лебедева³

et al. 2021

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“…C LjU 2-13 Dworin (1965) shows that, together with the suppression of the magnetophonon peak there occurs a small shift in the positions of the magnetophonon maxima in the direction of higher fields relative to the resonance values {the polaron shift), the renormalized mass for 0)c = is greater than the polaron mass…”

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confidence: 97%