Electronic Theory Of Solids
The course aims to introduce electronic properties of solids starting from a very simple example: the two-atom solid. Building on this, it develops the theory of electrons in an N- atom solid – the band concept and its application to electrical and thermal properties in solids. The novel electronic concepts related to graphene and carbon nanotubes are discussed. Concept of symmetries and their relevance in emergent electronic properties are also outlined.Magnetism of solids is introduced. Different types of magnetic states and their origin are outlined. Magnetisation and susceptibility in para and diamagnetic cases, their measurements and calculations in simple cases discussed. Concept of magnetic long range order is presented with examples. A magnetic Hamiltonian is described and solved in simple cases. Idea of mean-field theory outlined. Basic concepts of superconductivity are introduced with historical developments. The Cooper problem and BCS theory are worked out. Electrodynamics and applications of superconductivity discussed. Elementary concepts of low dimensional electron gas, quantum dot, 1D and 2D electron gas introduced. Basics of Quantum Hall effect discussed. Spin filtering and magnetoresistance introduced. Spintronics and its applications outlined. Future directions in spin- or valley- tronics discussed.
INTENDED AUDIENCE : Physics, Chemistry, Material Science, Electronics, Electrical engineering, Nano-science and Nano-TechnologyPREREQUISITES : Elementary quantum mechanics.INDUSTRY SUPPORT : Physics, Chemistry, Material Science, Electronics, Electrical engineering, Nano-science and Nano-Technology