**PHY ****504: ****Magnetism and Superconductivity**** (4)**

*Prerequisite: PHY 304: Quantum Mechanics-II*

*Magnetism:* Orbital and spin magnetism without interactions; Exchange interactions; Ferromagnetism, antiferromagnetism, ferrimagnetism, helical order and spin glasses; Measurement of magnetic order; Broken symmetry, Landau theory of ferromagnetism, Heisenberg and Ising model, consequences of broken symmetry, phase transitions and spin waves; Domains and the magnetization process; Itinerant magnetism of metals; Giant, colossal and tunneling magneto resistance; Nuclear magnetic resonance and technological aspects of magnetic materials.

*Superconductivity:* Properties of conventional (low temperature) superconductors, Meisnner-Ochsenfeld effect, perfect diamagnetism, London and Pippard equation; Type I superconductors and type II superconductors, vortex state, critical fields, interaction of vortices, magnetic properties, surface superconductivity; Ginzburg-Landau theory; BCS theory of superconductivity- electron-phonon interaction,
ground state of the superconductor, spectrum of elementary excitations, tunnel effects and measurement of the energy gap; Josephson effect and the quantum interferometers; High Temperature superconductivity.

*Suggested Books*:

- S. Blundell, Magnetism in Condensed Matter, Oxford (2001).
- J. M. D. Coey, Magnetism and Magnetic Materials, Cambridge (2010)
- Aharoni, Introduction to the Theory of Ferromagnetism, Oxford (2001)
- M. Tinkham, Introduction to Superconductivity, McGraw-Hill (1996)
- J. F. Annett, Superconductivity, Superfluids and Condensates, Oxford (2004)
- T. P. Sheahen, Introduction to High- Temperature Superconductivity, Plenum (1994)

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