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M.Sc. (Physics) | Curriculum | Sub. Code: 09020303 | Title: Condensed Matter Physics-1

Curriculum

Sub. Code: 09020303

Title: Condensed Matter Physics-1

S. No Topic Learning Objectives Teaching –guidelines Methodology Time
1 Semiconduct crystals and Fermi surfaces & metals:
1. Semiconductor crystals: Band gap,
2. Direct and indirect absorption procsses,
3.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.
To discuss Semiconductor crystals: Band gap,  Direct and indirect absorption procsses, Motion of electrons in an energy band, Holes,Effective mass,Physical interpretation of effective mass, Effective masses in semiconductors; Fermi surfaces and metals: Fermi surface and its construction for square lattice (free electrons and nearly free electrons), Electron orbits, Hole orbits, Open orbits; Wigner-Seitz method for energy bands, Cohesive energy; Experimental determination of Fermi surface: Quantization of orbits in a magnetic field,  De Hass-van Alphen effect. To cover basic concept and discussion about Semiconductor crystals: Band gap, Direct and indirect absorption processes, Motion of electrons in an energy band, Holes, Effective mass, Physical interpretation of effective mass, Effective masses in semiconductors; Fermi surfaces and metals: Fermi surface and its construction for square lattice (free electrons and nearly free electrons),
Electron orbits, Hole orbits, Open orbits; Wigner-Seitz method for energy bands Cohesive energy; Experimental determination of Fermi surface: Quantization of orbits in a magnetic field, De Hass-van Alphen effect.
1. Conventional Method         ( White- Board Teaching)
2.Power Point Presentation
12 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.
To discuss Dielectric function of the free electron gas, Plasma optics, Dispersion relation for em waves, Transverse optical modes in a plasma, Transparency of alkalis in the ultraviolet, Longitudinal plasma oscillations,Plasmons and their measurement; Electrostatic screening Screened  coulomb potential, Mott metal-insulator transition, Screening and phonons in metals; Optical reflectance, Kramers-Kronig relations, Electronic inter band transitions, Excitons: Frenkel ,Mott-Wannier excitons; Raman effect in crystals; Electron spectroscopy with X-rays. To cover explanation and derivation of Dielectric function of the free electron gas, Plasma optics
Dispersion relation for em waves, Transverse optical modes in a plasma, Transparency of alkalis in the ultraviolet, Longitudinal plasma oscillations, Plasmons and their measurement; Electrostatic screening, Screened  coulomb potential, Mott metal-insulator transition, Screening and phonons in metals;Optical reflectance,
Kramers-Kronig relations,
Electronic inter band transitions, Excitons: Frenkel ,Mott-Wannier excitons; Raman effect in crystals; Electron spectroscopy with X-rays.
1. Conventional Method         ( White- Board Teaching)
2.Power Point Presentation
10 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.
To discuss Polarization, Macroscopic electric field, Dielectric susceptibility, Local electric field at an atom,
Dielectric constant Polarizability, Clausius-Mossotti relation
Electronic polarizability,
Classical theory of electronic polarizability; Structural phase transitions; Ferroelectric crystals and their classification; Landau theory of the phase transition; Anti-ferroelectricity, Ferroelectric domains; Piezoelectricity, Ferroelasticity.
To cover definition and explanation of Polarization, Macroscopic electric field, Dielectric susceptibility, Local electric field at an atom,
Dielectric constant Polarizability, Clausius-Mossotti relation, Electronic polarizability,
Classical theory of electronic polarizability; Structural phase transitions; Ferroelectric crystals and their classification; Landau theory of the phase transition; Anti-ferroelectricity
Ferroelectric domains; Piezoelectricity, Ferroelasticity.
1. Conventional Method         ( White- Board Teaching)
2.Power Point Presentation
8 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.
To discuss Diamagnetism paramagnetism: Magnetic susceptibility,
Langevin diamagnetism equation, Quantum theory of diamagnetism;
Quantum theory of paramagnetism- Curie law, Hund’s rules, Para magnetic susceptibility of conduction electrons; Ferromagnetism anti ferromagnetism, Ferromagnetic order,  Electrostatic origin of magnetic interactions,
Magnetic properties of a two-electron system,
Singlet-triplet(exchange) splitting in Heitler-London approximation;
Spin Hamiltonian and the Heisenberg model; Meanfield theory- Curie-Weiss law; Spin waves- magnons, Bloch T3/2 law; Neutron magnetic scattering (principle) Ferromagnetic domains: Magnetization curve, Bloch wall, Origin of domains;  Anti ferro magnetic order and magnons.
 To cover basic concept and explanation of Diamagnetism, paramagnetism: Magnetic susceptibility, Langevin diamagnetism equation, Quantum theory of diamagnetism; Quantum theory of paramagnetism- Curie law, Hund’s rules, Para magnetic susceptibility of conduction electrons; Ferromagnetism anti ferromagnetism, Ferromagnetic order, Electrostatic origin of magnetic interactions, Magnetic properties of a two-electron system, Singlet-triplet(exchange) splitting in Heitler-London approximation;  Spin Hamiltonian and the Heisenberg model; Meanfield theory- Curie-Weiss law; Spin waves- magnons, Bloch T3/2 law; Neutron magnetic scattering (principle) Ferromagnetic domains: Magnetization curve, Bloch wall, Origin of domains; Anti ferro magnetic order and magnons. 1. Conventional Method         ( White- Board Teaching)
2.Power Point Presentation
10 hours