Subsections
[Cr:4, Lc:3, Tt:1, Lb:0]
- Review of quantum mechanical notation. Basic problems in QM like
transmission via a potential well, density of states Fermi golden
rule, Landau quantization of electrons in magnetic field and
Aharonov-Bohm effects.
- Review of semiconductor concepts . Overview of fabrication techniques
of mesoscopic devices
- 2-D electrons confined to semiconductor hetero-structures. Quantized
Hall phenomena and associated Shubnikov-deHass Oscillations.
Phenomenological theory along Laughlin's gauge invariance arguments ,
Widom-Sreda thermodynamic formulations, followed by Thouless's winding
number approach. Scaling theory of localization in 1-D and 2-D. 2-D
systems showing metallic phases due to e-e interactions. Wigner
crystals in extremely dilute 2-D electron systems in high magnetic
fields. Other 2-D electron systems like graphene, electrons on helium
surfaces and organic transistors.
- Landauer transmission formalism. Application of formalism to explain
quantized conductance of devices like quantum point contacts. Weak
localization nd Aharonov-Bohm effect in gold rings and other systems.
Violation of Kirchhoff's circuit laws for quantum conductors.
- Overview of superconductors. London equations . Classic flux
quantization experiments of Doll & Nabauer , Deaver & Fairbank.
Josephson effect and SQUIDS. Landau Zener tunneling and Macroscopic
quantum effects in SQUID based devices.
- Nano-mechanical systems. Applications to mass sensing filters etc.
Dissipation phenomena in nano-mechanical resonators and possibility of
achieving macroscopic quantum states in mechanical systems.
- Spintronics. Johnson-Silsbee experiments , Datta Das Transistors ,
Giant magneto-resistance and applications .
- Y. Murayama, Mesoscopic Systems, Wiley VCH (2001).
- S. Datta, Electronic Transport in Mesoscopic Systems, Cambridge
University Press (1997).
- A. Cleland, Foundations of Nanomechanics, Springer (2001).
- M. Ziese and M. J. Thornton, Spin Electronics (Lecture Notes in
Physics), Springer (2001).
