**Topics
in Condensed Matter Physics **

Lecture Course for graduate students

**CFIF/Dep. Física **

**Spin-dependent
transport theory**

Prof. Vitalii Dugaev

Winter
semester: 2004/2005

Dates and
time: Thursdays, 14:00, starting
December 2, 2004

Location: Edifício de Pós-Graduação, Sala P1

__Lecture 1.__
Introduction into
physics of spin-dependent phenomena in nanostructures. Giant magnetoresistance (GMR) and tunneling
magnetoresistance (TMR) effects. Spintronics.

Lecture 2.
__
__ Transport theories of metals and
semiconductors. Classical theory of Drude-Lorentz.
Boltzman kinetic
equation. Magnetoresistance of metals and semiconductors. Hall effect.

Lecture 3.
__ Transport theories of metals and
semiconductors (cont). Formalism of Green functions and Feynman diagrams. Kubo formula for conductivity. Charge and spin currents.
Spin Hall effect.__

Lecture 4.
__ Scattering from
magnetic impurities. Kondo effect on magnetic
impurities and Abrikosov-Suhl resonance. Spin-orbit interaction. Spin relaxation.__

Lecture 5.
__ Transport in low-dimensional
systems: size-quantization effects. Two-dimensional electron
gas. Semiconductor quantum wells. Quantum wires. Quantum dots. Spin-orbit
interaction in low-dimensional systems.__

Lecture 6.
__ Transport in low-dimensional
systems: size-quantization effects (cont). Ballistic
transport in nanoconstrictions. Aharonov-Bohm
effect in nanorings. Quantization
of Hall conductivity in 2D systems. __

Lecture 7.
__ Transport in magnetic systems. Spin-dependent scattering. GMR effect.
Anomalous Hall effect: mechanisms of side-jump and skew scattering. __

Lecture 8.
__ Localization and mesoscopic effects. __

Lecture 9.
__ Coulomb
interaction and theories of strongly correlated systems. Landau theory of the Fermi liquid. Coulomb
interaction in 1D system. Bosonization method.__

Lecture 10.
__ Coulomb
interaction and theories of strongly correlated systems (cont). Stoner mechanism of ferromagnetism in metals. Effect of Coulomb blockade.__

Lecture 11.
__ Kondo effect in
conductivity through the quantum dot. Splitting of the
Kondo resonance in magnetic structures with quantum dots and nanoparticles. Spin transistor. __

Lecture 12.
__ Spin-dependent
tunnelling in magnetic nanostructures. Effect TMR. Spin quantum well.
Transport in ferromagnetic wires with domain walls. Negative
resistance of the domain wall. __