Phase-space methods for the spin dynamics in condensed matter systems

Hurst, Jérôme; Hervieux, Paul-Antoine; Manfredi, Giovanni

doi:10.1098/rsta.2016.0199

Cited by 29 publications

(52 citation statements)

References 46 publications

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“…The spin and charge dynamics of the itinerant electrons is modeled using a phase-space semiclassical approach that was developed in earlier works [15,16]. Several spin effects-such as the Zeeman term, the spin-orbit coupling, and higher-order relativistic corrections-can in principle be incorporated in this model.…”

Section: Modelmentioning

confidence: 99%

“…The above equations can be seen as the semiclassical limit of a fully quantum model where the electron dynamics is represented by a 2 × 2 matrix Wigner function. In this approach, the orbital motion is treated classically (i.e., the electrons follow the classical trajectories), whereas the spin is a fully quantum variable [15,16].…”

Section: Modelmentioning

confidence: 99%

“…The results are obtained with a novel method [15,16] based on the semiclassical evolution of a spin-dependent distribution function in the phase space, which models the dynamics of the conduction electrons and the associated itinerant magnetism, coupled to a Landau-Lifschitz equation for the fixed ion magnetism. The electron orbital motion is treated classically, whereas the spin is a fully quantum variable.…”

Section: Introductionmentioning

confidence: 99%

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Spin current generation by ultrafast laser pulses in ferromagnetic nickel films

2018

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Section: Modelmentioning

confidence: 99%

Section: Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Spin current generation by ultrafast laser pulses in ferromagnetic nickel films

2018

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“…The Wigner equation including the Zeeman effect and the spin–orbit coupling and the corresponding extended set of hydrodynamic equations are found in Hurst, Hervieux & Manfredi (2017).…”

Section: Introductionmentioning

confidence: 99%

Separated spin evolution quantum hydrodynamics of degenerate electrons with spin–orbit interaction and extraordinary wave spectrum

Andreev

Trukhanova

2018

J. Plasma Phys.

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To consider a contribution of the spin-orbit interaction in the extraordinary wave spectrum we derive a generalization of the separate spin evolution quantum hydrodynamics. Applying corresponding nonlinear Pauli equation we include Fermi spin current contribution in the spin evolution. We find that the spectrum of extraordinary waves consists of three branches: two of them are wellknown extraordinary waves and the third one is the spin-electron acoustic wave (SEAW). Earlier SEAWs have been considered in the electrostatic limit. Here we include the electromagnetic effects in their spectrum at the propagation perpendicular to the external magnetic field. We find that the SEAW spectrum considerably changes at the account of transverse part of electric field. We obtain that the separate spin evolution modifies spectrum of the well-known extraordinary waves either. A change of the extraordinary wave spectrum due to the spin-orbit interaction is obtained as well.

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“…Phase-space theory is the starting point of the contribution by Hervieux and co-workers [44]. In this article, the authors present a derivation of a four-component Wigner equation for a system composed of spin-1/2 fermions including the Zeeman effect and spin-orbit coupling.…”

Section: (A) Theoretical and Algorithmic Developmentsmentioning

confidence: 99%