Introduction to the theoretical soldstate physicsAlex Tsyplyatyev, WS 2018/2019Lectures: 3 hours per week on Wednesdays, 08.3011:00 Room: Phys 02.116a,b First week: 17.10.2018 Last week: 13.02.2019 (15 weeks of lectures in total, 3 weeks of Christmas vacation 24.12.201812.01.2019) Tutorials: 2 hours per week, 2 groups Tutorial manager: Mr. Roman Smit/Mr. Arthur Scammell Tutors: Mr. Arthur Scammell/Mr. Roman Smit and Mr. Max Hansen Group 1: Wed 14:0016:00 (Scammell/Smit) and Group 2: Thur 08:0010:00 (Hansen) Room: Phys 01.114 (Wed) and Phys 01.114 (Thur) This course is the first part of an introduction to the theory of condensed matter for all students starting from the 5th semester. The prerequisites for this course are Classical Mechanics (VTH2), Quantum Mechanics I (VTH4), and some Thermodynamics and Statistical Physics (VTH5). Announcements The tutorial classes start on Wednesday the 24th of October. The list of students in each tutorial group can be found here. The exam takes place on Friday March 08th in the room 02.116a,b at 11:00. The 2nd exam takes place on Wednesday March 27th in the room 02.116a,b at 11:00. Don't forget to register with the Prüfungsamt as early as possible!Lecture notes
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Complete lecture notesProblem sheets Matrix diagonalization, BornOppenheimer approximation
 Ground states of particles on twodimensional lattices, Hexagonal closepacked structure
 Reciprocal lattice, Lattice planes, Bravais lattices in reciprocal space
 Monatomic twodimensional lattice, Normal modes of a threedimensional crystal
 Linear chain, Specific heat, Heisenberg picture
 Thermal expansion of a crystal, Lowtemperature specific heat for nonlinear dispersion laws, van Hove singularities
 Free electron gas, Dirac delta potential
 The KronigPenny model, Periodic potentials in one dimension
 Periodic potentials in one dimension, energy bands near Bragg plane, Fermi surface near Bragg plane
 Density of levels for a twoband model, KronigPenney model in tightbinding approximation, Tightbinding dispersion and van Hove singularities
 Statistics and specific heat of Semiconductors, classical Hall effect
 Bloch oscillations, Damped dynamics
 Conductivity in tight binding, conductivity in the presence of a position and time dependent field
 Thermoelectric effect in metals, HartreeFock effective mass
Content of the course  Introduction: what it is and where we can find it
 Periodic structures
 Crystal vibrations (phonons)
 Thermodynamics of free electrons in a solid body
 Dynamics and transport of free electrons in a solid body
 Electronelectron interactions
Literature  C. Kittel, Introduction to Solid State Physics, 7th edition, John Wiley, Toronto, 1996. (main book)
 N. W. Ashcroft and N. D. Mermin, Solid State Physics, Brooks/Cole, Belmont, 1976.
 G. D. Mahan, Condensed Matter in a Nutshell, Princeton University Press, Princeton, 2011.
