Quantum Kinetics in Transport and Optics of Semiconductors

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Springer Science & Business Media, Dec 10, 2007 - Science - 362 pages

Nanoscale miniaturization and femtosecond laser-pulse spectroscopy require a quantum mechanical description of the carrier kinetics that goes beyond the conventional Boltzmann theory. On these extremely short length and time scales, the electrons behave as do partially coherent waves. This monograph deals with quantum kinetics for transport in low-dimensional microstructures and for ultra-short laser pulse spectroscopy. The nonequilibrium Green function theory is described and used for the derivation of the quantum kinetic equations. Numerical methods for the solution of the retarded quantum kinetic equations are discussed and results are presented for high-field transport and for mesoscopic transport phenomena. Quantum beats, polarization decay, and non-Markovian behaviour are treated for femtosecond spectroscopy on a microscopic basis.

Since the publishing of the first edition in 1996, the nonequilibrium Green function technique has been applied to a large number of new research topics, and the revised edition introduces the reader to many of these areas, such as molecular electronics, noise calculations, build-up of screening and polaron correlations, and non-Markovian relaxation, among others. Connection to recent experiments is made, and it is emphasized how the quantum kinetic theory is essential in their interpretation.

 

Contents

Numerical Solutions of the Boltzmann Equation
11
Equilibrium Green Function Theory
35
ContourOrdered Green Functions
63
Basic Quantum Kinetic Equations 75
74
Gauge Invariance
85
Quantum Distribution Functions
93
Quantum Transport
99
FieldDependent Green Functions
115
TimeDependent Phenomena
213
Theory of Ultrafast Kinetics
240
Interband Quantum Kinetics with LOPhonon Scattering 259
258
TwoPulse Spectroscopy
287
Coulomb Quantum Kinetics
300
The Buildup of Screening
317
Femtosecond FourWave Mixing with Dense Plasmas 331
330
References
341

Optical Absorption in Intense THz Fields
157
Transport in Mesoscopic Semiconductor Structures
181

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About the author (2007)

Hartmut Haug obtained his Ph. D. (Dr. rer. nat. 1966) in Physics at the University of Stuttgart. From 1967 to 1969 he was a faculty member at the Department of Electrical Engeneering, University of Wisconsin in Madiason. After working as a scientific staff member at the Philips Research Laboratories in Eindhoven from 1969 to 1973, he joined the Institute of Theoretical Physics of the J.W.Goethe-University Frankfurt, where he was a full professor from 1975 to 2001 and currently is an emeritus. He has been a visiting scientist at many international research centers and universities.

Antti-Pekka Jauho obtained his Ph.D in Theoretical Condensed Matter Physics at Cornell University, USA, in 1982. He has been a faculty member at University of Copenhagen, Nordita (Copenhagen), and, since 1993, at Technical University of Denmark, where he has been Professor of Theoretical Nanotechnology at MIC, Department of Micro and Nanotechnology, since 2003. He is also a Distinguished Professor of the Finnish Academy since 2007, and spends half of his time at the Technical University of Helskinki, Finland.