**PHY ****403: ****Condensed Matter Physics**** (4)**

*Prerequisites: PHY 306: Statistical Mechanics*

*Learning Objectives*:

The course objective is to introduce to the student the physical properties of solids including the electrical, magnetic, optical, thermal and mechanical properties. The structure, symmetry, and bonding in solids determine the properties of solids and the goal of this course is the development of student understanding of these impacts.

*Course Contents*:

Structure of solids, Symmetry, Unit cell, Miller indices, Simple crystal structure, Diffraction of x-rays, Reciprocal lattice, Laue equations and Braggâ€™s law, Brillouin Zones, Atomic scattering and structure factors, Defects and dislocations.

Bonding in solids, van-der Wall and Repulsive interactions, Lennard Jones potential, Cohesive energy and compressibility, Ionic crystals, Madelung potential, Covalent crystals, Metals, atomic and ionic radii.

Vibrations of one dimensional monoatomic and diatomic chain, Normal modes and Phonons,, Phonon spectrum, Long wavelength of acoustic phonons and elastic constants, specific heat capacity, Density of states, thermal expansion and conductivity, Phonons: Vibrational Properties, normal modes, acoutic and optical phonons.

The Drude theory of metals: DC electrical conductivity of a metal; Hall effect and magnetoresistance; AC electrical conductivity of a metal and propagation of electromagnetic radiation in a metal; Thermal conductivity of a metal, The Sommerfeld theory of metals: Density of states; Fermi-Dirac distribution; Specific heat, thermal, and electrical conductivity of degenerate electron gases.

Free electron theory, Kronig-Penney Model, Crystal lattices: Bravais lattices, Periodic potential, Band theory, Tight binding, Classification of metals, insulators and semiconductors, Cellular and pseudopotential methods, Symmetry of energy bands, Density of state, Fermi surface, de Hass-van Alphen effect, Motion of electron in electric and magnetic fields, Hall Effect, Quantum Hall Effect, Magnetoresistance, Superconductivity, Meissner effect, Topological Insulators

Dia-, Para-, and Ferromagnetism, origin of magnetism, Langevin's theory of paramagnetism, Weiss Molecular theory, Ferromagnetic ordering, spin waves, magnons, ferromagnetic domains.

Bose-Einstein distribution and Bose-Einstein condensation.

*Suggested Books*:

- L. V. Azaroff,
*Introduction to Solids*. - C. Kittel,
*Introduction to Solids State Physics*. - N. W. Ashcroft and N. D. Mermin,
*Solids State Physics*. - J. Decker,
*Solids State Physics*. - O. Madelung,
*Introduction to Solid State Theory*. - P. M. Chaikin and T. C. Lubensky,
*Principles of Condensed Matter Physics*. - H. Ibach and H. Lutz,
*Solid State Physics*. - J. Weertman and J. R. Weertman,
*Elementary Dislocation Theory.* - M. J. Buerge,
*Crystal Structure Analysis*. - J. Callaway,
*Quantum Theory of solid State*.

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