Course | Dual Degree (B. Tech + Master of Science / Master of Technology) |
Semester | Sem. VI |
Subject Code | PH321 |
Subject Title | Introduction to Solid State Physics |
Bonding in Condensed matter Physics: Forces and energy of interatomic bonding, Primary bonds: Covalent bonds, Ionic bonds, Metallic bonds etc. Secondary bonds: Van der Waals bonds, Hydrogen bonds etc.
Crystal structure: Bravais lattice, primitive vectors, primitive unit cell, conventional unit cell, Wigner-Seitz cell; Symmetry operations and classification of 2- and 3-dimensional Bravais lattices; Common crystal structures; Reciprocal lattice and Brillouin zone; Bragg-Laue formulation of X-ray diffraction by a crystal.
Band theory of solids: Free electron theory, Limitations of free electron theory; Periodic potential and Bloch's theorem; Nearly free electron model; origin of Bands and band gaps; Tight binding method; Effective mass of an electron in a band: concept of holes; Energy band in one dimension, different zone schemes; E-k diagram in three dimensions, band structures and energy gap; Classification of metal, semiconductor and insulator; Fermi energy, Topology of Fermi surfaces.
Lattice dynamics and Specific heat: Classical theory of lattice vibration under harmonic approximation; Vibrations of linear monatomic and diatomic lattices, acoustical and optical modes, long wavelength limits; Normal modes and phonons; Inelastic scattering of neutron by phonon; Lattice heat capacity, models of Debye and Einstein, comparison with electronic heat capacity.
Magnetic properties of solids: Origin of magnetism; Diamagnetism: quantum theory of atomic diamagnetism; Landau diamagnetism (qualitative discussion); Paramagnetism: quantum theory of paramagnetism; Mean field theory: Ferromagnetism, Curie-Weiss law, temperature dependence of saturated magnetisation, ferromagnetic domains; Heisenberg model (introduction) Ferrimagnetism and antiferromagnetism.
Superconductivity: Overview of superconductivity - Experimental survey; Zero resistance state, Meissner effect, flux quantization, London equations, penetration depth, isotope effect, specific heat. Type I and Type II superconductors. Electron-electron interaction via lattice: Cooper pairs and BCS formalism, multiband, High Tc superconductors (qualitative discussion).