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Syllabus | Sub Code: 09020303 | Title: Condensed Matter Physics 1


Sub. Code: 09020303

Title: Condensed Matter Physics-1

S. No Topic Domain Hours
1 Semiconductor crystals and Fermi surfaces & metals:
1. Semiconductor crystals and Fermi surfaces & metals:
2. Semiconductor crystals: Band gap,
3.Direct and indirect absorption processes,
4.Motion of electrons in an energy band, Holes,
4.Effective mass,
5.Physical interpretation of effective mass,
6.Effective masses in semiconductors;
7.Fermi surfaces and metals:
8.Fermi surface and its construction for square lattice (free electrons and nearly free electrons),
9.Electron orbits,
10.Hole orbits,
11.Open orbits; Wigner-Seitz method for energy bands
12.Cohesive energy;
13.Experimental determination of Fermi surface:
14.Quantization of orbits in a magnetic field,
15.De Hass-van Alphen effect.

Must Know

15 hours
2 Optical properties of solids
1. Dielectric function of the free
electron gas, Plasma optics
2.Dispersion relation for em waves,
3.Transverse optical modes in a plasma,
4.Transparency of alkalis in the ultraviolet, Longitudinal plasma oscillations,
5.Plasmons and their measurement; Electrostatic screening
6.Screened  coulomb potential,
7.Mott metal-insulator transition
8.Screening and phonons in metals;
9.Optical reflectance,
10.Kramers-Kronig relations
11.Electronic inter band transitions, 12.Excitons: Frenkel ,Mott-Wannier excitons;
13.Raman effect in crystals; Electron spectroscopy with X-rays.

Must Know

12 hours
3 Dielectrics and Ferroelectrics:
1.Polarization, Macroscopic electric field,
2.Dielectric susceptibility
3.Local electric field at an atom,
Dielectric constant
4.polarizability, Clausius-Mossotti relation
5.Electronic polarizability,
6.Classical theory of electronic polarizability; Structural phase transitions;
7.Ferroelectric crystals and their classification;
8.Landau theory of the phase transition; Anti-ferroelectricity
9. Ferroelectric domains; Piezoelectricity, Ferroelasticity.

Must Know

9 hours
4 Magnetism
1.Diamagnetism paramagnetism:
Magnetic susceptibility,
2.Langevin diamagnetism equation
3.Quantum theory of diamagnetism;
4.Quantum theory of paramagnetism- Curie law
5.Hund’s rules, Para magnetic susceptibility of conduction electrons;
6.Ferromagnetism anti ferromagnetism, Ferromagnetic order
7.Electrostatic origin of magnetic interactions,
8.Magnetic properties of a two-electron system,
9.Singlet-triplet(exchange) splitting in Heitler-London approximation;
10.Spin Hamiltonian and the Heisenberg model; Meanfield theory- Curie-Weiss law; Spin waves- magnons,
11.Bloch T3/2 law; Neutron magnetic scattering (principle) Ferromagnetic domains: Magnetization curve,
12.Bloch wall, Origin of domains;
13.Anti ferro magnetic order and magnons.

Must Know

14 hours

Text and Reference Books: 
1.    Introduction to Solid State Physics: C. Kittel( Wiley, new York)
2.    Crystallography for Solid –State Physics: Verma and rivastva( new Age International Publishers)
3.    Principles of the theory of solids: J. Ziman(Cambridge University press, Cambridge)
4.    Solid state Physics: Aschroft & Mermin (Reinhert & Winston, berlin)

Admission 2017