scholarly journals Erratum: Kinetic theory of spin-polarized systems in electric and magnetic fields with spin-orbit coupling. I. Kinetic equation and anomalous Hall and spin-Hall effects [Phys. Rev. B92, 245425 (2015)]

2016 ◽  
Vol 93 (23) ◽  
Author(s):  
K. Morawetz
Keyword(s):  
Kinetic Equation ◽  
Magnetic Fields ◽  
Kinetic Theory ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Hall Effects ◽  
Spin Polarized ◽  
Electric And Magnetic Fields ◽  
Spin Hall Effects

scholarly journals Anomalous and spin Hall effects in a magnetic tunnel junction with Rashba spin-orbit coupling

2013 ◽  
Vol 103 (3) ◽  
pp. 032406 ◽  
Author(s):  
A. V. Vedyayev ◽  
M. S. Titova ◽  
N. V. Ryzhanova ◽  
M. Ye. Zhuravlev ◽  
E. Y. Tsymbal
Keyword(s):  
Tunnel Junction ◽  
Magnetic Tunnel Junction ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Rashba Spin ◽  
Hall Effects ◽  
Spin Hall Effects

Kinetic Theory of Systems with SU(2) Structure

2018 ◽  
Author(s):  
Klaus Morawetz
Keyword(s):  
Magnetic Fields ◽  
Quantum Hall ◽  
Kinetic Equations ◽  
Orbit Coupling ◽  
Spin Orbit Coupling ◽  
Spin Orbit ◽  
Spinor Structure ◽  
Effective Spin ◽  
Large Classes ◽  
Hall Effects

Systems with spin-orbit coupling and magnetic fields exhibit a SU(2) structure. Large classes of materials and couplings can be written into an effective spin-orbit coupled Hamiltonian with Pauli structure. Appropriate kinetic equations are derived keeping the quantum spinor structure. It results in coupled kinetic equations of scalar and vector distributions. The spin-orbit coupling, the magnetic field and the vector part of the selfenergy can be written in terms of an effective Zeeman field which couples both distributions. The currents and linear response are derived and the anomalous parts due to the coupling of the occurring band splitting are discussed. The response in magnetic fields reveals subtle retardation effects from which the classical and quantum Hall effect result as well as anomalous Hall effects. As application the dynamical conductivity of grapheme is successfully calculated and compared to the experiments.

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