[PDF]    http://dx.doi.org/10.3952/physics.v55i4.3218

Open access article / Atviros prieigos straipsnis

Lith. J. Phys. 55, 239242 (2015)


MODELS OF THE INTERACTION BETWEEN ELECTRONS AND POLAR OPTICAL PHONONS IN NANOSTRUCTURES
Brian K. Ridley
Department of Computing Science and Electronic Engineering, University of Essex, Colchester CO4 3SQ, United Kingdom
E-mail: bkr@essex.ac.uk

Received 16 April 2015; accepted 29 September 2015

A brief summary is made of the models used to describe the interaction between electrons and polar optical phonons in nanostructures. Simpler models are compared with the model that describes optical modes that satisfy both mechanical and electrical boundary conditions. Satisfaction of these boundary conditions requires modes to be a linear combination (LC) of longitudinal (LO), transverse (TO) and interface (IF) modes. The role of lattice dispersion turns out to be crucial. If accuracy is not essential, the simple models can provide adequate results, provided that coupled-mode and hot-phonon effects are absent.
Keywords: electron–phonon interactions, electronic transport, nanostructures
PACS: 72.10.Di, 73.63.-b

ELEKTRONŲ IR POLINIŲ OPTINIŲ FONONŲ SĄVEIKOS NANODARINYJE MODELIAI

Brian K. Ridley
Esekso universiteto Kompiuterijos mokslų ir elektroninės inžinerijos fakultetas, Kolčesteris, Jungtinė Karalystė

References / Nuorodos

[1] M.G. Burt, An exact formulation of the envelope function method for the determination of electronic states in semiconductor microstructures, Semicond. Sci. Technol. 3, 739 (1988),
http://dx.doi.org/10.1088/0268-1242/3/8/003
[2] M.G. Burt, The justification for applying the effective-mass approximation to microstructures, J. Phys. Condens. Matter. 4, 6651 (1992),
http://dx.doi.org/10.1088/0953-8984/4/32/003
[3] B.A. Foreman and B.K. Ridley, in: Proc. ICPS24 CDROM Section V-E3 (1999),
http://dx.doi.org/10.1142/3915
[4] B.K. Ridley, Electrons and Phonons in Semiconductor Multilayers, 2nd ed. (Cambridge University Press, 2009),
http://dx.doi.org/10.1017/CBO9780511581496
[5] F.A. Riddoch and B.K. Ridley, On the scattering of electrons by polar optical phonons in quasi-2D quantum wells, J. Phys. C 16, 6971 (1983),
http://dx.doi.org/10.1088/0022-3719/16/36/012
[6] R. Fuchs and K.L. Kliewer, Optical modes of vibration in an ionic crystal slab, Phys. Rev. 140, A2076 (1965),
http://dx.doi.org/10.1103/PhysRev.140.A2076
[7] M. Babiker, Longitudinal polar optical modes in semiconductor quantum wells, J. Phys. C 19, 683 (1986),
http://dx.doi.org/10.1088/0022-3719/19/5/008
[8] J.E. Zucker, A. Pinczuk, D.S. Chemla, A. Gossard, and W. Wiegman, Optical vibrational modes and electron-phonon interaction in GaAs quantum wells, Phys. Rev. Lett. 53, 1280 (1984),
http://dx.doi.org/10.1103/PhysRevLett.53.1280
[9] H. Akero and T. Ando, Envelope-function formalism for phonons in heterostructures, Phys. Rev. B 40, 2914 (1989),
http://dx.doi.org/10.1103/PhysRevB.40.2914
[10] C. Trallero-Giner, F. García-Moliner, V.R. Velasco, and M. Cardona, Analysis of the phenomenological models for long wavelength polar optical modes in semiconductor layered systems, Phys. Rev. B 45, 11944 (1992),
http://dx.doi.org/10.1103/PhysRevB.45.11944
[11] K.J. Nash, Electron-phonon interactions and lattice dynamics of optic phonons in semiconductor heterostructures, Phys. Rev. B 46, 7723 (1992),
http://dx.doi.org/10.1103/PhysRevB.46.7723
[12] B.K. Ridley, Continuum theory of optical phonon hybrids and their interaction with electrons in a quantum well, Proc. SPIE 1675, 492 (1992),
http://dx.doi.org/10.1117/12.137633
[13] B.K. Ridley, Electron-hybridon interaction in a quantum well, Phys. Rev. B 47, 4592 (1993),
http://dx.doi.org/10.1103/PhysRevB.47.4592
[14] M.P. Chamberlain, M. Cardona, and B.K. Ridley, Optical modes in GaAs/AlAs superlattices, Phys. Rev. B 48, 14356 (1993),
http://dx.doi.org/10.1103/PhysRevB.48.14356
[15] J. Požela, G. Butkus, and V. Jucienė, Electron-optical phonon scattering rates in 2D structures: effects of independent electron and phonon confinement, Semicond. Sci. Technol. 9, 1480 (1994),
http://dx.doi.org/10.1088/0268-1242/9/8/006
[16] J. Požela, V. Jucienė, and K. Požela, Confined electron-optical phonon scattering rates in 2D structures containing electron and phonon walls, Semicond. Sci. Technol. 10, 1076 (1995),
http://dx.doi.org/10.1088/0268-1242/10/8/004