Magnetism and Accelerator-Based Light Sources : Proceedings of the 7th International School ''Synchrotron Radiation and Magnetism'', Mittelwihr (France) 2018.
Bulou, Herv�e.
Magnetism and Accelerator-Based Light Sources : Proceedings of the 7th International School ''Synchrotron Radiation and Magnetism'', Mittelwihr (France) 2018. - 1st ed. - 1 online resource (219 pages) - Springer Proceedings in Physics Series ; v.262 . - Springer Proceedings in Physics Series .
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.
9783030646233
Electronic books.
QC482.S6
Magnetism and Accelerator-Based Light Sources : Proceedings of the 7th International School ''Synchrotron Radiation and Magnetism'', Mittelwihr (France) 2018. - 1st ed. - 1 online resource (219 pages) - Springer Proceedings in Physics Series ; v.262 . - Springer Proceedings in Physics Series .
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.
9783030646233
Electronic books.
QC482.S6