Quantum Landau-Lifshitz-Bloch equation and its comparison with the classical case

Abstract

The detailed derivation of the quantum Landau-Lifshitz-Bloch (qLLB) equation for simple spin-flip scattering mechanisms based on spin-phonon and spin-electron interactions is presented and the approximations are discussed. The qLLB equation is written in the form, suitable for comparison with its classical counterpart. The temperature dependence of the macroscopic relaxation rates is discussed for both mechanisms. It is demonstrated that the magnetization dynamics is slower in the quantum case than in the classical one.

11 pages, 7 figures

References in corpus (7)

• Super-Diffusive Spin-Transport as a Mechanism of Ultrafast Demagnetization
• Dynamic approach for micromagnetics close to the Curie temperature
• Speed limit of FePt spin dynamics on femtosecond timescales
• Thermal fluctuations and longitudinal relaxation of single-domain magnetic particles at elevated temperatures
• Ab initio theory of electron-phonon mediated ultrafast spin relaxation of laser-excited hot electrons in transition-metal ferromagnets
• Ultra-fast spin dynamics: the effect of colored noise
• Ultrafast demagnetization in the sp-d model: a theoretical study

Cited by in corpus (16)

• Polarized phonons carry the missing angular momentum in femtosecond demagnetization
• Quantum Brownian Motion for Magnets
• $s$-$d$ model for local and nonlocal spin dynamics in laser-excited magnetic heterostructures
• Modeling coupled spin and lattice dynamics
• Modeling ultrafast demagnetization and spin transport: the interplay of spin-polarized electrons and thermal magnons
• Laser Controlled Spin Dynamics of Ferromagnetic Thin Film from Femtosecond to Nanosecond Timescale
• Superfluid spin transport in ferro- and antiferromagnets
• Ultrafast magnetization reversal in ferromagnetic spin-valves: an s-d model perspective
• Thermodynamically self-consistent non-stochastic micromagnetic model for the ferromagnetic state
• Spin-polarized hot electron transport versus spin pumping mediated by local heating
• Self-Consistent Field Theory studies of the thermodynamics and quantum spin dynamics of magnetic Skyrmions
• Derivation of a time dependent Schrödinger equation as quantum mechanical Landau-Lifshitz-Bloch equation
• Temperature dependence of spin-model parameters in antiferromagnets
• Ultrafast demagnetization at high temperatures
• Ultrafast dynamics of moments in bulk ferromagnets
• Emerging magnetic nutation