Berlin 2018 – wissenschaftliches Programm
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TT: Fachverband Tiefe Temperaturen
TT 78: Focus Session: Spinorbitronics - From Efficient Charge/Spin Conversion Based on Spin-Orbit Coupling to Chiral Magnetic Skyrmions I (joint session MA/TT)
TT 78.8: Vortrag
Donnerstag, 15. März 2018, 12:15–12:30, H 1012
The spin-Hall stationarity conditions in the light of the second law of thermodynamics — •Jean-Eric Wegrowe1, Rober Benda1, Jean-Michel Dejardin2, and Miguel Rubi3 — 1LSI, Ecole polytechnique, Palaiseau, France — 2Laboratoire de Mathématique et Physique, Université de Perpignan, France — 3Facultat de Fisica, Universitat de Barcelona, Spain
The determination of the stationary states for the bulk spin-Hall effect are discussed in the context of the two spin-channel model. It is shown that the usual stationarity condition (namely no explicit time-dependence) leads to an indeterminacy: different stationary states can equally be defined [1]. A first state S1 is characterized by a transverse pure spin current and no electric field while a second stationary state S2 is characterized by spin-dependent electric fields and no transverse current. The two states have the same properties with respect to spin-accumulation and spin-Hall angle, but not with respect to the total power dissipated.
The application of the second law of thermodynamics allows a reformulation of the problem in the form of a variational principle under constraints (Kirchhoff-Helmholtz principle). The constraints include charge accumulation and spin-flip scattering. The stationary state is then defined univocally: the first state S1 is found for the Corbino disk while the second state S2 is found for the Hall bar [2].
[1] J.-E. Wegrowe, J. Phys.: Cond Matter 29, 485801 (2017). [2] J.-E. Wegrowe, R. Benda, M. J. Rubì, Europhys. Lett. 18, 67005 (2017).