The course “Physics of low-dimensional systems” is fundamental and has a theoretical orientation. At the same time it is theoretical base for working out of devices and optoelectronics devices, nanoelectronics, information systems of new generation. Low-dimensional systems are considered: quasi-two-dimensional structures- quantum wells, quasi-one-dimensional ones — quantum wires and quasi-zero-dimensional ones — quantum dots. The quantum-mechanical phenomena in such systems is discussed and effects of external electric and magnetic fields are considered. Theoretical and experimental methods of investigation of low-dimensional systems are considered. By first-principles methods and by computer simulations, following parameters of low-dimensional systems are obtained: resonant frequencies, energy and wave function spectra for electronic and excitonic systems with carriers in the coupled quantum wells and in the coupled quantum dots; evolution of a spectrum and spin rearrangement in the molecules consisted of horizontally and vertically coupled quantum dots. The estimation of characteristic dimensional parameters of systems for the account of internal interaction and interaction with an external electromagnetic field is considered.
Hours of lecture
Hours of discussion
Hours of independent study
Please note that students are expected to study outside of class for three hours for every hour in class.
The plan is to work through the following topics:
Observation conditions of quantum-dimensional system
Structures with low-dimensional electronic gas
Manufacturing of low-dimensional systems technology
Molecular beam epitaxy
Gas epitaxy from metall-organics
Self-organization of quantum dots and quantum wires.
Charge carriers in low-dimensional systems
Density of energy states in low-dimensional electronic systems
Statistics of charge carriers in low-dimensional systems
Evolution from the discrete to the continuous spectra in quantization direction for low-dimensional systems for different dimensions
2D and 3D shielding
Hydrogen-like atom, excitons in 1,2,3 d
Optical properties of quantum wells
Kinetic effects in 2d systems
Ballistic conductance of quantum wires
Quantum Hall effect and conductance of quantum wires
Energy spectra and wave functions. Effects of external fields
Systems of coupled quantum wells and quantum dots
Horizontal and vertical molecules of quantum dots
Arrays of quantum dots
Periodic and aperiodic arrays of quantum dots
Single and coupled quantum wells and quantum dots in microcavity
Formation of exciton-polaritons
Superfluidity and Bose-condensation of exciton polaritons
Effect of external fields
Industrial applications of quantum-dimensional systems
Lasers on quantum wells and quantum dots
Photodetector on quantum wells
L. Pitaevskii and S. Stringari. Bose-Einstein Condensation. Oxford University Press, Oxford ; New York, June 2003.
Keith Barnham and Dimitri Vvedensky. Low-Dimensional Semiconductor Structures: Fundamentals and Device Applications. Cambridge University Press, Cambridge, UK ; New York, August 2001.
Weekly, 15 problem sets in total, due at the beginning of the lecture. You may also submit via e-mail before the due date/time. It is of outmost importance that you invest your own effort into solving problems. Should you consult any sources, please provide references. Homework assignments should be typed. Legible handwritten assignments are acceptable.