Abstract
We study the effect of polaronic corrections arising from the electron-longitudinal optical phonon interaction on the energy spectrum of a two-dimensional electron system with a one-dimensional periodic antidot array geometry created by a weak electrostatic modulation potential, and subjected to a weak magnetic field modulation as well as a uniform strong perpendicular static magnetic field. To incorporate the effects of electron-phonon interactions within the framework of Fröhlich polaron theory, we first apply a displaced-oscillator type unitary transformation to diagonalise the relevant Fröhlich Hamiltonian, and we then determine the parameters of this transformation together with the parameter included in the electronic trial wave function . On the basis of this technique, it has been shown that the polaronic corrections have non-negligible effects on the electronic spectrum of a two-dimensional electron system with a quantum antidot array, since switching such an interaction results in shifting the degeneracy restoring points of Landau levels wherein the flatband condition is fulfilled, thus suppressing the Weiss oscillations.
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References
U. Woggon, S.V. Gaponenko, Phys. Status Solidi B 189, 285 (1995)
N.F. Johnson, J. Phys.: Condens. Matter 7, 965 (1995); T. Demel, D. Heitmann, P. Grambow, K. Ploog, Phys. Rev. Lett. 64, 788 (1990); A. Lorke, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 64, 2559 (1990)
L. Jacak, P. Hawrylak, A. Wójs, Quantum Dots (Springer, Berlin, 1998)
D. Weiss, K.V. Klitzing, K. Ploog, G. Weimann, Europhys. Lett., 8, 179 (1989)
R.R. Gerhardts, D. Weiss, K.V. Klitzing, Phys. Rev. Lett. 62, 1173 (1989)
R.W. Winkler, J.P. Kotthaus, K. Ploog, Phys. Rev. Lett. 62, 1177 (1989)
C.W. Beenaker, Phys. Rev. Lett. 62, 2020 (1989)
D. Weiss, C. Zhang, R.R. Gerhardts, K.V. Klitzing, G. Weimann, Phys. Rev. B 39, 13020 (1989)
P. Vasilopoulos, F.M. Peeters, Phys. Rev. Lett. 63, 2120 (1989)
C. Zhang, R.R. Gerhardts, Phys. Rev. B 41, 12850 (1990)
F.M. Peeters, P. Vasilopoulos, Phys. Rev. B 46, 4667 (1992)
D.P. Xue, G. Xiao, Phys. Rev. B 45, 5986 (1992)
F.M. Peeters, P. Vasilopoulos, Phys. Rev. B 47, 1466 (1993)
M. Kato, A. Endo, S. Katsumoto, Y. Iye, Phys. Rev. B 58, 4876 (1998)
T.D. Lee, F.E. Low, D. Pines, Phys. Rev. B 90, 297 (1953)
W.J. Huybrechts, J. Phys. C: Solid State Phys. 10, 3761 (1977)
K. Takegahara, T. Kasuya, J. Phys. Soc. Jpn 39, 1292 (1975)
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Kandemir, B. Polaronic effects in one-dimensional quantum antidot arrays. Eur. Phys. J. B 66, 51–55 (2008). https://doi.org/10.1140/epjb/e2008-00395-2
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DOI: https://doi.org/10.1140/epjb/e2008-00395-2