Electron–Phonon Interaction in Dielectric Bilayer Systems. Effect of the Electronic Polarizability

Abstract

A quantum-mechanical theory of the electron-(long-wave optical) phonon interaction in dielectric bilayer systems is developed. The operator describing the interaction between an electron and the phonon modes of the bilayer system is calculated including the electronic polarizability. All polarization eigenmodes together with their dispersion relation are derived and discussed. The dispersion curves of the surface phonons are calculated and presented for various cases in graphical form. The interaction of electrons outside and inside the bilayer system is studied and the coupling functions are calculated and discussed and they are shown in graphical form.Es wird eine quantenmechanische Theorie der Elektron-(langwellig-optischen) Phonon-Wechselwirkung in dielektrischen Doppelschichtsystemen entwickelt. Dabei wird der EinfluB der elektronischen Polarisierbarkeit auf die Struktur des Hamilton-Operators der Wechselwirkung der Elektronen mit den Phononen beriicksichtigt. Es werden alle Polarisationseigenmoden und die dazu gehorenden Dispersionsrelationen abgeleitet und diskutiert. Die Dispersionskurven der Oberflachen-Phononen werden fur verschiedene Falle berechnet und graphisch dargestellt. Die Wechselwirkung von Elektronen, welche sich innerhalb und aul3erhalb des Doppelschichtsystems befinden, wird untersucht und die Kopplungsfunlrtionen werden fur verschiedene Falle berechnet und graphisch dargestellt.

Confinement of polar optical phonons in quasi-one-dimensional Wurtzite GaN-based quantum well wires: propagating and half-space phonon modes

“…Only the vibrating properties within the range of ρ < L are taken into account, and those out of the range (ρ > L) are neglected. In fact, this is completely analogous to the situations of the HS and (quasi-) confined modes in cubic (wurtzite) quantum systems [22,24,25,38]. When the outermost radius L is large enough, the influence of polarization charges at the outermost interface of ρ = L on the vibrating properties of the inner core and the well-layer materials as well as the other features should be quite weak [36,37].…”

“…Hence, it is quite imperative and important to investigate and understand the lattice oscillating properties of the Q1D wurtzite QWW structure. In fact, based on the macroscopic dielectric continuum model (DCM) [24][25][26] and Loudon's uniaxial crystal model [27], many groups have made great contributions in researching polar optical phonons and their electron-phonon interactions in wurtzite nitride heterostructure systems [18][19][20][21][22][23][28][29][30]. For example, Lee and et al [18] deduced the dispersion relations of the interface optical (IO) phonon modes, the quasi-confined (QC) modes, the half-space (HS) modes and the propagating (PR) modes in wurtzite struc-tures with single and double planar heterointerfaces.…”

Influences of RSO interaction and LO phonon effect on the spin polarization state energy of polaron in a quantum rod

“…In our model, the effect of the geometry on the spectrum of the optical phonons is neglected [27], on the basis of the strong coupled polaron model, the electron-phonon system Hamiltonian can be written as follows:…”

Effect of temperature and electric field on life time and energy states of bound polaron in triangular quantum dot

“…Since these pioneers works on polaron, it still an active field of research. Wendler [6] has studied a quantum-mechanical theory of the electron-(long-wave optical) phonon interaction in dielectric bilayer systems and in semiconductor superlattices [7]. Devreese and coworkers [8,9] were investigating the polaron complexes related to the excited states of electron-phonon system.…”