SLIDE 1
Motivating ESM2009 Why do we like magnetism? Why do we need models?
Peter de Châtel Institute of Nuclear Research Hungarian Academy of Sciences Debrecen, Hungary
SLIDE 2 Why do we like magnetism?
It is fascinating (“on s’amuse”) We have witnessed two recent breakthroughs, which inspire our sponsors:
- 1. Lighter, stronger and more stable magnets
- 2. GMR hit the market at an unprecedented speed
SLIDE 3
SLIDE 4
- 2. GMR hit the market at an unprecedented speed
SLIDE 5
Nobel prize physics 2007 Giant magneto resistance
Albert Fert Peter Grünberg
SLIDE 6
Why do we need models?
Why models, rather than the Real Thing? Microscopic level: relativistic and quantum- mechanical (Bohr - van Leeuwen theorem) Phenomenalogical level: nonlinear and irreversible (hysteresis)
SLIDE 7
Magnetic field, Spin and orbital magnetic moments, Crystal electric field
John Michael Coey Today, Monday 01/09 14h
SLIDE 8
Friday 04/09 14h
Mean field theory
Claudine Lacroix
SLIDE 9
j i j i ij Heis
J H S S 2
.
j i z l z i ij Is j i y j y i x j x i ij XY
S S J H S S S S J H . 2 ); ( 2
The four bilinear model interactions
Heisenberg XY Ising
j i j i ij DM
H ) ( S S d
,
Dzyaloshinskii Moriya
SLIDE 10
Thursday 03/09 11h
SLIDE 11
Monte Carlo methods for magnetic systems Zoltán Néda
Sunday 06/09 15h
SLIDE 12
Direct exchange
Parallel-spin electrons do not come too close to each other, that saves some Coulomb energy. Consequently, a given number of electrons claims a larger volume, if the spins are aligned.
SLIDE 13 Superexchange
Delocalization is realized by hopping onto a neighbouring site, t is the hopping matrix element
,
d an
E E t E
2 d d an an an
E E t
SLIDE 14
Wednesday 04/09 10h30 and 14h30
SLIDE 15 Free electrons in a magnetic field
(external or molecular)
The Zeeman energy modifies the spectrum of available states, a rearrangement of occupancies occurs. In the new equilibrium state there is a net spin momentum and magnetisation.
S.V. Vonsovskii, Magnetism Vol.1 (1974)
SLIDE 16
Magnetism of free electrons J.M.D. Coey Thursday 03/09 9h
SLIDE 17 E.Yu. Tsymbal and D.G. Pettifor
- Phys. Rev. B 54 (1996) 15314
Density of states in cobalt and iron Co Fe
SLIDE 18
SLIDE 19
Basics of electronic structure calculations for magnetic systems: Tight binding, LDA, DMFT Manual Richter Tuesday 01/09 16h and Thursday 04/09 11h
SLIDE 20
Spin wave in an antiferromagnet in an external field H0
SLIDE 21
Wulf Wulfhekel Monday 07/09 12h
SLIDE 22
Magnetic anisotropy and how it can be controlled Dirk Sander
Thursday 03/09 12h
SLIDE 23 Review of typical behaviours
- bserved in strongly correlated systems
Charles Simon Saturday 05/09 11h
SLIDE 24
Spin fluctuation theory
for
itinerant magnetism
and introduction to
The physics of the Kondo effect
Mireille Lavagna Friday 04/09 16h and Saturday 05/09 9h
SLIDE 25
Metal-insulator transition (Mott-Hubbard)
and
Magnetism and superconductivity
Jozef Spałek Saturday 05/09 14h30 and Sunday 06/09 9h
SLIDE 26
Models in spin electronics
Bernard Diény Tuesday 08/09 14h and Thursday 10/09 10h30
SLIDE 27
Magnetisation dynamics at different timescales: dissipation and thermal processes
Oksana Chubykalo-Fesenko Sunday 06/09 11h and Monday 07/09 11h
SLIDE 28
Simple concepts of magnetisation reversal from materials to nanostructures
Olivier Fruchart Monday 07/09 9h, Tuesday 08/09 16h and Thursday 10/09 16h
SLIDE 29
Preisach model of hysteresis in magnetic materials and FORC* based identification techniques
FORC: First-order Reversal Curves Alexandru Stancu Thursday 10/9 9h
SLIDE 30
Transport in magnetic semiconductors
Tomasz Dietl Wednesday 09/09/09 14h
SLIDE 31
Amusez-vous bien
SLIDE 32
j i j i ij Heis
J H S S 2
j j ij i mf i B
J g S S B S 2
Molecular field in the Heisenberg model
) (
mf i i B mf
g H B B S
SLIDE 33
Albert Fert Peter Grünberg
Nobel prize physics 2007 Giant magnetoresistance