Derive results for electrical conduction, thermal conduction and heat capacity of a classical free electron gas, and describe its relevance to metallic systems.Explain the origins of thermal conductivity and thermal expansion of the lattice.Understand the role of quantisation in describing low temperature lattice heat capacities, and discuss the Einstein and Debye models of heat capacity.Describe the origins of the classical (Dulong-Petit) law of heat capacity, and discuss its failure at low temperature.Understand how density of states and occupation can be used to calculate macroscopic properties of solids.Derive dispersion relations for vibrations in solids, and describe their interpretation in terms of both normal modes and phonons.Derive the conditions for x-rays to diffract from solids, including the concept of the structure factor.Understand the concept of reciprocal space and its role in describing and quantifying wave phenomena in solids.Understand the origins, nature and consequences of defects within otherwise ideal materials.Describe the structure of crystalline materials in terms of lattice and basis, and describe structural elements such as directions and planes using standard notations.On completion of this course the student will be able to. the development and detailed description of classical free electron theory to describe the electrical and thermal behaviour of metals.the role of lattice vibrations and phonons in the electrical and thermal properties of materials.
#SOLID STATE PHYSICS 1 PDF#
Problem Sheet 4: Postscript PDF Phonons Particles in a Magnetic Field.Problem Sheet 3: Postscript PDF 3d Band Structure Fermi Surfaces.Problem Sheet 2: Postscript PDF Variational Method, 1d Band Structure.(for the Applications of Quantum Mechanics course.) Monotonic chain diatomic chain, optical and accoustic bands, Peierls instability Quantization Field theory. The Wigner-Seitz cell, the reciprocal lattice, the Brillouin zone band structure, crystal momentum,Ĭrystallographic notation, nearly free electrons in 3d, tight-binding in 3d Wannier functions, localised and extended stats, LCAOįermi surfaces, metals vs insulators, graphene Bloch electrons effective velocity and mass, semi-classical equations of motion, Bloch oscillations, holes, Drude model magnetic fields, cyclotron frequency, Onsager quantisation, de Haas-van Alphen oscillations. Gauge field, gauge transformation Landau levels, degeneracy Īharonov-Bohm effect Magnetic monopoles, Dirac quantisation Spin in a magnetic field, spin precession.Įlectrons in one dimension, tight-binding, nearly free electrons, Floquet matrix, Bloch's theorem Bravais lattices, cubic, BCC and FCC, It covers the basics of band structure, Fermi surfaces, phonons, and particles in magnetic fields. This is an introduction to solid state physics. Nevil Mott, recollecting the glorious moment he first learned of the difference between metals and insulators.ĭavid Tong: Lectures on Solid State Physics
In a tone which implied that he was not interested at all. “I first heard of this when Fowler was explaining it to one of Rutherford’s closest collaborators, who said ‘very interesting’
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