Computational Solid State Physics
1. The Kronig-Penney model.
2. N-particle linear chain model.
3. Scalar potental in the cylindrical magnet.
4. Parallel-plate capacitor in two dimensions.
5. Heat flow in a metal bar.
6. Semiclassical quantization of molecular vibrations: Bohr-Sommerfeld quantization for bound states of the Lennard-Jones Potential
7. Hartree-Fock solutions of small atomic systems in the filling approximation.
8. Ground state of many electron system using density functional theory (DFT).
9. Calculation of energy bands in crystals.
Device Physics and Nanoelectronics
1.Introduction: Moore’s law and technology development. International Technology Roadmap for Semiconductors (ITRS); Technology and material challenges limiting Moore’s law.
2.Contacts: Fabrication of Junction, Metal-semiconductor contacts, Schottky barrier. Contact resistance: 2-probe and 4-probe measurements; Kelvin and van der Pau structures; pn junctions: carrier transport. Equilibrium conditions, Steady state conditions, Transients and AC conditions.