Fakultät für Physik
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TA1: Theoretical Solid State Physics – Material/Schedule

L1:
Tue.,10/7.:
1) Introduction: Adiabatic approximation, Ideal lattices, Bravais lattice, Primitive cell, Wigner Seitz cell, Lattices with Basis (AM, Ch. 4)
L2:
Thurs., 10/9.:
Reciprocal lattice, Lattice planes, X-ray diffraction, Bragg & Laue condition (AM, Chap. 5,6), Space & Point group (AM, Chap. 7),
L3:
Fri. 10/10:
2) Free electron description: Drude theory of metals
L4:
Tues. 10/14:
Thermodynamics of the free electron gas (AM. Chap. 1), Sommerfeld expansion (AM, Chap 2);
L5:
Thurs.10/16

3) Electrons in periodic potentials, Bloch theorem (AM, Chaps. 8,9): Derivation, Born-von Karman boundary conditions

L6:
Tue. 10/ 21
Density of states, Electrons in weak periodic potentials, band structure (AM, Chaps. 8,9)
L7:
Fri. 10/ 24
Weak potentials cont'd, Fermi surfaces (AM, Chaps. 9)
L8:
Tue, 10/28
Wannier functions, tigh-binding approximation (AM ch.10),
4) Semiclassical theory of electron dynamics (AM 12)
Semi-classical equations of motion, Bloch oscillations,
L9:
Thurs.,10/30
Dynamics in magnetic fields, cyclotron frequency, de Hass van-Alphen effect
L10:
Tue, 11/4
Boltzmann equation, Relaxation time approximation
L11:
Thurs, 11/6
Relaxation-time approx. cont'd, Electrical conductivity,
L12:
Tues, 11/11
Thermal conductivity/ 5) Interactions: Many-body wave functions for fermions, Hubbard dimer
L13:
Thurs, 11/13
Hubbard dimer cont'd, Hartree-Fock theory
L14:
Tues, 11/18
Jellium model, Screening, Thomas-Fermi approximation
L15:
Thurs, 11/20
Kohn-Hohenberg-Sham theorem, 2nd quantization
L16:
Fri, 11/21
2nd quantization
L17:
Tues, 11/25
2nd quantization cont'd, Dielectric response of a metal
L18:
Tues, 12/2
Lindhard function, particle-hole and collective excitations
L19:
Thurs, 12/4
Basics of Fermi-liquid theory, quasi-particles, life-time of single-particle excitations
L20:
Tues 12/9
6) Lattice dynamics, phonons, Classical description, dispersion, Quantum theory of phonons
L21:
Thurs. 12/11
Quantum theory of phonons, thermodynamics, quantization of longittudinal acoustic modes
L22:
Thurs, 12/18
Peierls instability in 1D, thermal conductivity
L23:
Thurs, 01/08
Anharmonic effects: Normal and umklappp processes, Grueneisen parameter (Slides)
L24:
Tue, 01/13
T^5 Bloch law for electrical conductivity of metals, 8) Magnetism: Dia- & paramagnetism
L25:
Thurs, 01/15
Dia- & paramagnetism cont'd, Magnetic correlations
L26:
Tue, 01/20
Exchange interactions cont'd, magnetic ordering
L27:
Thurs, 01/22
Mean-field theory, Heisenberg model, Spin-wave theory
L28:
Fri, 01/23
Thermodynamics from spin-wave theory, Heisenberg AFM; 8) Superconductivity: Phenomenology
L29:
Tues, 01/27
Superconductivity cont'd: BCS theory

Verantwortlich für den Inhalt: F. Heidrich-Meisner