Theory of Magnetism
Lecture # 1
16.02.09
Introduction. Spin. Various magnetic
states. Connection
between spin and statistics. Fermions and Bosons.
Pauli principle. Fermi sphere.
BEC
Lecture # 2 18.02.09
Magnetism of itinerant electrons. Pauli paramagnetism.
Electron in a magnetic field. Landau
levels. Landau diamagnetism.
Lecture # 3 20.02.09
Semi-classical theory of local ferromagnetism. Classical magnetic moments. Langevin function. Curie
susceptibility. Molecular (Weiss) field. Curie-Weiss susceptibility.
Lecture # 4 23.02.09
Quantum theory of local magnetism. Atomic magnetic moments. Russell-Saunders coupling scheme. Brillouin function. Spin exchange models. Ising model. XY model. Heisenberg model.
Lecture # 5 25.02.09
Mean
field theories. Random Phase approximation. Static
susceptibility. Ornstein-Zernike function. Susceptibility
of Heisenberg ferromagnets.
Lecture # 6 25.02.09
Microscopic description of local ferromagnetism. Excitations in magnets: microscopic
description. Holstein-Primakoff
representation. Goldstone theorem.
Magnons. Transverse and longitudinal
susceptibilities.
Lecture # 7 02.03.09
Microscopic description of local antiferromagnetism. Antiferromagnetic magnons. Transverse
and longitudinal susceptibilities. Mermin-Wagner theorem.
Lecture # 8 04.13.09
Bloch equations.
Dynamic
susceptibility of weakly interacting local moments. Macroscopic description: equations
of motion.
Density matrix approach. Calculation of dynamic susceptibility: local moments in transverse
magnetic field. Transverse and longitudinal relaxation times.
Lecture # 9 06.03.09
Landau-Lifshitz equations. Excitations in magnets: macroscopic
description. Magnons in ferromagnets. Magnons in antiferromagnets. Thermodynamics
of ferro- and antiferromagnets.
Lecture # 10 09.03.09
Causality and symmetry. Karmers-Kronig relations. Fluctuation-dissipation
theorem (FDT). Onsager
symmetry relations.
Lecture # 11 11.03.09
Ferromagnetism in metals. Stoner model.
Hubbard model.
Magnetic impurities in non-magnetic metals. Kondo effect.
Calculation of resistivity. RKKY
interaction. Oscillation of exchange integral.
Magnetic orderings
Lecture # 12 13.03.09
Magnetism in strongly correlated and mesoscopic systems. Heavy fermions. High temperature
superconductors. Frustrated magnets.
Quantum dots. Magnetotransport. Spintronics.
Recommended
literature:
|
1.
|
R. White. Quantum Theory
of Magnetism. (Springer-Verlag, 1983) |
|
2.
|
A. Auerbach. Interacting Electrons and Quantum Magnetism.
(Springer-Verlag,1994) |
|
3.
|
T.Moria. Spin Fluctuations in Itinerant Electron Magnetism. (Springer-Verlag, 1985) |
|
4.
|
C.Kittel. Quantum Theory of Solids.(John Wiley and Sons, New York
1987) |
|
5.
|
J.
M. Ziman. Principles of the Theory of Solids.
(Cambridge University Press, |