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Hüser, Julian: Kinetic theory of magnon Bose-Einstein condensation. 2016
Inhalt
Abstract | Zusammenfassung
Introduction
Theoretical Model
Hamiltonian of the Magnetic System
Spectrum of Non-Interacting Magnons
Magnon-Magnon Interactions
Magnon-Phonon Interactions
Parallel Pumping of Magnons
Time Evolution of the Magnon Gas: Boltzmann Equation
Kinetic Equations for Magnons
Physical Properties
Isotropic Approximation
Bose-Einstein Condensation
Four-Magnon Scattering at Small Wave Vectors
Properties of Magnon Interactions
Magnon Relaxation Rates
Kasuya-LeCraw Experiment
Four-Magnon Process
Three-Magnon Process
Magnon-Phonon Coupling: Cherenkov Process
Magnon Equilibration
Four-Magnon Scattering
Three-Magnon Scattering
Cherenkov Process
Concluding Remarks
Bose-Einstein Condensation of Magnons
Dynamics of Pumped Magnons
Thermalization through Magnon-Phonon Interaction
Bose-Einstein Condensation under Continuous Pumping
Bose-Einstein Condensation at High Pumping Powers
Phonon-Mediated Bose-Einstein Condensation
Concluding Remarks
Conclusions
Appendix
Magnon Coefficients
Bulk Case
Thin Films
Dipole Sums
Evaluation of the 3d-Dipole Sums
Converting of the 2d-Dipole Sums: Ewald Summation
Bogoliubov Transformation
Bulk Case
Thin Films
Kinetic Equations in Energy Space
Evaluation of Integrals in the Kinetic Equations
Four-Magnon Process
Three-Magnon Process
Cherenkov Process
The t-Matrix Approach
Four-Magnon Relaxation Rate of the Uniform Mode
Integration of the Delta Function over Solid Angles
Bibliography