Abstract
Longitudinal optical phonons have been used to interpret the electronic energy relaxation in quantum dots and at the same time they served as a reservoir, with which the electronic subsystem is in contact. Such a phonon subsystem is expected to be passive, namely, in a long-time limit the whole system should be able to achieve such a stationary state, in which statistical distributions of both subsystems do not change in time. We pay attention to this property of the LO phonon bath. We show the passivity property of the so far used approximations to electronic transport in quantum dots. Also we show a way how to improve the passivity of LO phonon bath using canonical Lang-Firsov transformation.
Similar content being viewed by others
References
A.D. Yoffe: Adv. Phys. 50 (2001) 1.
K. Kral and Z. Khas: Phys. Status Solidi B 208 (1998) R5.
H. Tsuchiya and T. Miyoshi: J. Appl. Phys. 83 (1998) 2574.
O. Verzelen, G. Bastard, and R. Ferreira: Phys. Rev. B 66 (2002) 081308.
E.M. Lifshitz and L.P. Pitaevskii: Physical kinetics, Butterworth-Heinemann, 1981.
D.N. Zubarev: Nonequilibrium statistical thermodynamics, Nauka, Moscow, 1971 (in Russian).
K. Kral and Z. Khas: Phys. Rev. B 57 (1998) R2061.
K. Kral, P. Zdenek, and Z. Khas: IEEE Trans. on Nanotechnology, 3 (2004) 17.
K. Kral, P. Zdenek, and Z. Khas: Surf. Sci. 566–568 (2004) 321.
H. Haug and A.-P. Jauho: Quantum Kinetics in Transport and Optics of Semiconductors, Springer, Berlin, 1998.
Th.M. Nieuwenhuizen and A.E. Allahverdyan: Phys. Rev. E 66 (2002) 036102.
A.O. Caldeira and A.J. Leggett: Ann. Phys. 149 (1983) 374.
G.D. Mahan: Many-Particle Physics, 2nd ed., Plenum Press, New York, 1993.
J. Callaway: Quantum theory of the solid state, Part B, Academic Press, New York, 1974.
K. Kral and P. Zdenek: Physica E 29 (2005) 341.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Kral, K. LO-phonon overheating in quantum dots. Czech J Phys 56, 33–40 (2006). https://doi.org/10.1007/s10582-006-0063-0
Received:
Issue Date:
DOI: https://doi.org/10.1007/s10582-006-0063-0