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Topics in Condensed Matter Physics Lecture Course for graduate students CFIF/Dep. Física Spin-dependent transport theory Vitalii Dugaev. Winter semester: 2004/2005 Dates and time: Thursdays, 14:00, starting December 2, 2004 Location: Edifício de Pós-Graduação, Sala P1. About myself
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Lecture Course for graduate students
Spin-dependent transport theory
Winter semester: 2004/2005
Dates and time: Thursdays, 14:00, starting December 2, 2004
Location: Edifício de Pós-Graduação, Sala P1
Frantsevich Institute for Problems of Materials Science,
National Academy of Sciences of Ukraine, Chernovtsy Branch
Max-Planck-Institut für Mikrostrukturphysik
Halle, Germany (Patrick Bruno)
ISEL, Lisbon (Manuela Vieira)
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. Anderson localization. Theory of weak localization. Negative magnetoresistance effect. Localization in magnetic systems.
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.
Introduction into physics of spin-dependent
phenomena in nanostructures
Electron = spin + charge
In electronics – charge (-e)
In magnetism – spin (½) and, correspondigly, magnetic moment (μB)
In electronics we control electron motion using charge –
by electric field (voltage, gate control) and also by magnetic field
In magnetism we control electron using its spin –
by magnetic field and – also by electric field (relativistic effect)
Spin-dependent physical phenomena spintronics
(S.A. Wolf, DARPA Initiative, 1996)
Experiments of A. Fert et al (1988) and P. Grünberg et al (1989)
First theory: J. Barnaś et al (1990)
How to explain GMR?
Conductivity in a non-magnetic metal or semiconductor:
Separate contributions: (Mott, 1936)
In magnetic materials the contributions are different
Why τ↑ and τ↓ are different?
Main reason – scattering is energy dependent
Simple explanation: spin-valve effect:
Tunnel magnetoresistance (TMR)
M. Julliere (1975) J.S. Moodera et al (1995)
Two magnetic metals separated by tunneling barrier
1. Tunneling in monmagnetic metals or semiconductors
2. Tunneling in magnetic structures