Quantum Theory of Magnetism

$ID = get_the_ID();
add_post_meta($ID, 'Author', 'M.Kiselev', True);
add_post_meta($ID, 'Credits', '2', True);

$AUTHOR = get_post_meta(get_the_ID(),'Author',True);
$CREDITS = get_post_meta(get_the_ID(),'Credits',True);
echo "

by $AUTHOR ($CREDITS credits)

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?>


QuantThMagnPicture

Main Topics

  • Magnetism of electron gas. Basic concepts of Fermi-Liquid theory. Pauli paramagnetism. Landau diamagnetism. Susceptibilities.
  • Local ferro- and antiferro- magnetism. Molecular field approach. Curie and Neel temperatures. Uniform and staggered magnetizations. Static susceptibilities.
  • Spin waves in ferro- and antiferromagnets. Bogolyubov transformation. Long range order. Goldstone theorem. Mermin-Wagner theorem.
  • Kondo effect in non-magnetic metals and nanostructures. RKKY interaction. Spin-dependent effects in quantum dots and wires.
  • Spin dynamics. Bloch equation. Relaxation times. Spin echo. Dynamical susceptibilities. Causality. Landau-Lifshitz equations. Macroscopic theory of spin waves.
  • Strongly correlated systems. Stoner magnetism. Hubbard model. Magnetic order and metal-insulator transition. Anderson model. Paramagnons. Neutron scattering.

Suggested topics for the exam:

  • Kosterlitz-Thouless transition.
  • Kitaev model.
  • Berry phase.
  • Landau-Zener transition.
  • Nozieres (phenomenological) theory for Kondo effect at low temperatures.
  • Orthogonality catastrophe.
  • Coherent states for spins.
  • Spin non-linear sigma model.
  • Quantum spin chains. Haldane conjecture.
  • Magnetic impurities in superconductors.

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