Courses ¨

SELECTED QUESTIONS OF THE THEORY OF
MAGNETISM AND SUPERCONDUCTIVITY
(Yu.M.Bruk)

    PART I

  • Elementary introduction into the theory of magnetics
    • Para-, dia- and ferromagnetism
    • Magnetic ordering
    • Curie and Neel temperatures
    • Paramagnetic gas in magnetic field
    • Langeven function
    • Quantum gas - Brillouin functions
    • Exchange interaction
    • Curie point definition
    • Molecular Weiss field
  • Magnetic susceptibility
    • Magnetic moment
    • Generalized susceptibility
    • Kramers-Kroning relation
    • Fluctuating-dissipative theorem
    • Secondary quantization
  • Magnetic Hamiltonian
    • Dirac equation
    • Homogeneous external field
    • Electrical quadrupole and magnetic dipole (hyperthin) fields
    • Crystal electrical field
    • Dipole-dipole interaction
    • Direct exchange and super-exchange interaction
    • Spin Hamiltonian
    • Ions of transition metals
    • Rare-earth ions
  • Statistical susceptibility non-interacting systems
    • Localized moments
    • Diamagnetism
    • Ion paramagnetism of transition metals and rare-earth ions
    • Magnetic effects in metals
    • Landau diamagnetism
    • de Haas - van Alphen effect
    • Quantum Hall effect
    • Pauli paramagnetism
  • Statistical susceptibility interacting systems
    • Localized moments under high and low temperatures
    • Critical point vicinity
    • Stoner and Hubbard models
  • Weakly interacting systems
    • Bloch equation
    • Resonance line form
    • Measurement and calculation of T
    • Paramagnons
    • Faraday effect
  • Magnetic fields in superconductors
    • Critical magnetic field
    • Flux jumping
    • Demagnetizing factors for samples of different shapes
    • Vortex structures
    • Domain structures in magnetics and superconductors
    • Domain motion under an interaction of external fields and currents
    • Problem of recording and reading information in domain structures

    PART II

  • Strongly interacting systems
    • Broken symmetry
    • Spin waves, magnetostatic modes and solitons in dielectrics
    • Heat magnon effects and optical processes
    • Parametric excitations
  • Magnetic impurities
    • Local oscillations and local moments in metals
    • Theory of the formation of Anderson moment
    • Condo effect for diluted alloys
    • Spin glasses
  • Neutron scattering
    • Nuclear and magnetic scattering
    • Bragg deflection, scattering on photons and diffused scattering
    • Resonance methods in magnetic investigations - a review
  • Maximum fields in electrodynamics
    • Whether there is a maximum possible magnetic field
    • Qualitative assessments of fields in different scale processes
  • Magnetic fields in cosmic and astrophysical objects and processes
    • Magnetic fields of planets, stars, galaxies
    • Superstrong magnetic fields in substance under extreme conditions
    • Neutron stars and pulsars
    • Trapped magnetic fields
  • Magnetic domain structures
    • Period and characteristic parameters of periodic domain magnetic structures
    • Examples of structures: orthoferrites, ferromagnetics, intermediate state in superconductor
    • Procedure of minimization of free energy
    • Magnetic domain structures in superconducting neutron stars
    • Dynamic processes and absorption of electromagnetic and sound radiation in domain structures
  • Type I and type II superconductors
    • Criterion of superconductivity
    • An idea of the tunnel effects in layered structures
    • General introductory review about measurements in physics of superconducting structures
    • Josephson effect, its applications
    • Critical parameters of superconductors of different types
    • General idea of high-temperature superconductors
     
  • LITERATURE:
    1. R. White. The quantum theory of magnetism
    2. C. Kittel. The quantum theory of solids
    3. A.A. Abrikosov. Foundations of the theory of metals
    4. N. Ashcroft, N. Mermin. Physics of solids
    5. V.V.Shmidt. Introduction to the theory of superconductivity
    6. P.G. de Gennes. Superconductivity of metals and alloys

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