Magnetism and Accelerator-Based Light Sources : Proceedings of the 7th International School ''Synchrotron Radiation and Magnetism'', Mittelwihr (France) 2018.
Main Author: | |
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Other Authors: | , , |
Format: | eBook |
Language: | English |
Published: |
Cham :
Springer International Publishing AG,
2021.
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Edition: | 1st ed. |
Series: | Springer Proceedings in Physics Series
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Subjects: | |
Online Access: | Click to View |
Table of Contents:
- Intro
- Foreword
- Preface
- Teachers
- Scientific Committee
- Acknowledgements
- Contents
- Contributors
- 1 X-Ray Sources at Large-Scale Facilities
- 1.1 Introduction
- 1.2 A Brief Description of Synchrotrons
- 1.2.1 Introduction
- 1.2.2 The Lorentz Factor
- 1.2.3 Dipole Radiation and Synchrotron Radiation
- 1.2.4 Spectral Flux, Emittance, and Brilliance
- 1.2.5 The Radio-Frequency Power Supply
- 1.2.6 Radiation Equilibrium
- 1.2.7 Coherence
- 1.3 Sources of Synchrotron Radiation
- 1.3.1 Bending Magnets and Wigglers
- 1.3.2 Undulators
- 1.3.3 Polarization of Synchrotron Radiation
- 1.4 Diffraction-Limited Storage Rings
- 1.5 X-Ray Free-Electron Lasers
- 1.5.1 XFEL Architecture
- 1.5.2 The SASE Process
- 1.5.3 Concluding Remarks
- 1.6 Summary
- References
- 2 Concepts in Magnetism
- 2.1 Introduction
- 2.2 Exchange
- 2.2.1 Direct Exchange
- 2.2.2 Indirect Exchange
- 2.2.3 Superexchange
- 2.3 Consequences of the Heisenberg Exchange Interaction
- 2.3.1 Two Interacting Spin-12 Particles
- 2.3.2 A Chain of Spins
- 2.3.3 Three Spins
- 2.4 Orbitals
- 2.4.1 Transition Metal Ions
- 2.4.2 Spin-Orbit Interaction and Crystal Fields
- 2.4.3 Jahn-Teller Effect
- 2.5 Conclusion
- References
- 3 Electronic Structure Theory for X-Ray Absorption and Photoemission Spectroscopy
- 3.1 Introduction
- 3.2 Light-Matter Interaction
- 3.3 Ground State Electronic Structure Theory
- 3.3.1 Hartree-Fock Approximation
- 3.3.2 Density Functional Theory
- 3.4 Absorption Spectra in the Independent Particle Approximation
- 3.4.1 Dipole Selection Rules and Density of States
- 3.5 Absorption Spectra in Linear Response TDDFT
- 3.5.1 Time-Dependent Density Functional Theory
- 3.5.2 Linear Response Theory
- 3.5.3 Absorption Spectra
- 3.6 Photoemission Spectroscopy
- 3.6.1 Angle-Resolved Photoemission Spectroscopy.
- 3.7 Quasiparticle Theory
- 3.7.1 Green's Functions
- 3.7.2 GW Approximation
- 3.7.3 Bethe-Salpeter Equation
- 3.7.4 Static and Dynamical Mean-Field Theory
- 3.8 Conclusions
- References
- 4 X-ray Dichroisms in Spherical Tensor and Green's Function Formalism
- 4.1 Introduction
- 4.1.1 The X-ray Absorption Cross Section
- 4.1.2 Definition of Dichroisms
- 4.1.3 The Many-Body Problem in Spectra Calculations
- 4.1.4 Codes for Ligand-Field Multiplet Calculations
- 4.2 Spherical Tensor Expansion of the XAS Cross Section
- 4.2.1 The Case of Electric Dipole Transitions
- 4.2.2 The Case of Electric Quadrupole Transitions
- 4.2.3 Term a=0
- 4.2.4 Term a=1
- 4.2.5 Term a=2
- 4.2.6 Term a=3
- 4.2.7 Term a=4
- 4.3 Conclusion
- References
- 5 Spintronics and Synchrotron Radiation
- 5.1 General Introduction to Spintronics: From Magnetoresistive Effects to the Physics of Spin-Transfer Phenomena
- 5.1.1 Giant Magnetoresistance: An Historical Point of View
- 5.1.2 Tunnelling Magnetoresistance
- 5.1.3 Magnetization Manipulation without Magnetic Fields
- 5.1.4 Summary
- 5.2 Examples of Synchrotron Radiation Contribution to Spintronics
- 5.2.1 Voltage Control of Magnetism
- 5.2.2 Spintronics with Pure Spin Current
- 5.2.3 Current-Induced Magnetization Dynamics
- 5.3 Conclusion
- References
- 6 p-Wave Superconductivity and d-Vector Representation
- 6.1 Introduction
- 6.2 Odd-Parity Pairing: BCS Wave Function and Order Parameter
- 6.3 Vectors and Cayley-Klein Representation
- 6.3.1 Position of the Problem
- 6.3.2 Useful Formula for Pauli Matrices
- 6.3.3 Rotation of a 3D Vector: Cayley-Klein Relation
- 6.4 d-Vector Representation
- 6.5 Behaviour under Rotations
- 6.5.1 Rotation in Spin Space
- 6.5.2 Rotation in Real Space
- 6.5.3 Change of Quantization Axis: Application to ESP States.
- 6.6 Some Uses of the d-Vector Representation
- 6.6.1 Amplitude of the d-Vector
- 6.6.2 Spin Direction
- 6.6.3 Non-unitary States
- 6.6.4 Orbital Moment
- 6.6.5 Excitation Energy of Quasiparticles
- 6.7 The Spin-Orbit Issue
- 6.7.1 Spin-Orbit and the Superconducting Order Parameter
- 6.7.2 Anisotropy of the Susceptibility for the Strong Spin-Orbit Case
- 6.8 d d d d-vector Representation of Some Known (or Suspected) p-Wave Superconductors
- 6.8.1 Phases of Superfluid 3He
- 6.8.2 UPt3 and Sr2RuO4
- 6.9 Ferromagnetic Superconductors
- 6.9.1 ESP States
- 6.9.2 Symmetries
- 6.9.3 Microscopic Model
- 6.10 UTe2
- 6.11 Proofs and Exercise Solutions
- 6.11.1 Proof of the Cayley-Klein Relation
- 6.11.2 Conservation of the Scalar Product under Rotation with the Definition (6.11)
- 6.11.3 Conservation of the Cross Product under Rotation with the Definition (6.11)
- 6.11.4 Rotation of the d d d d-Vector of a Simple ``Up-Up'' State
- 6.11.5 Equivalence of ESP Unitary States and Pure |Sz=0rangle States
- References
- Index.