Magnetoelectronics, Science, vol.282, issue.5394, p.1660, 1998. ,
DOI : 10.1126/science.282.5394.1660
Spintronics: A Spin-Based Electronics Vision for the Future, Science, vol.294, issue.5546, p.1488, 2001. ,
DOI : 10.1126/science.1065389
Spintronics: Fundamentals and applications, Reviews of Modern Physics, vol.76, issue.2, p.323, 2004. ,
DOI : 10.1103/RevModPhys.76.323
Spin Hall Effect, Physical Review Letters, vol.83, issue.9, p.1834, 1999. ,
DOI : 10.1103/PhysRevLett.83.1834
Experimental Observation of the Spin-Hall Effect in a Two-Dimensional Spin-Orbit Coupled Semiconductor System, Physical Review Letters, vol.94, issue.4, p.47204, 2005. ,
DOI : 10.1103/PhysRevLett.94.047204
Superconducting Interfaces Between Insulating Oxides, Science, vol.317, issue.5842, p.1196, 2007. ,
DOI : 10.1126/science.1146006
Interface-induced room-temperature multiferroicity in BaTiO3, Nature Materials, vol.74, issue.10, p.753, 2011. ,
DOI : 10.1038/nmat3098
Improper ferroelectricity in perovskite oxide artificial superlattices, Nature, vol.13, issue.7188, p.732, 2008. ,
DOI : 10.1038/nature06817
Predicted Coupling of the Electromagnetic Angular Momentum Density with Magnetic Moments, Physical Review Letters, vol.110, issue.13, p.137205, 2013. ,
DOI : 10.1103/PhysRevLett.110.137205
Hall Effect in Ferromagnetics, Physical Review, vol.95, issue.5, p.1154, 1954. ,
DOI : 10.1103/PhysRev.95.1154
Coupling of the angular momentum density with magnetic moments explains the intrinsic anomalous Hall effect, Physical Review B, vol.88, issue.16, p.161102, 2013. ,
DOI : 10.1103/PhysRevB.88.161102
Spin Current and Magnetoelectric Effect in Noncollinear Magnets, Physical Review Letters, vol.95, issue.5, p.57205, 2005. ,
DOI : 10.1103/PhysRevLett.95.057205
from Atomistic Simulations, Physical Review Letters, vol.109, issue.3, p.37207, 2012. ,
DOI : 10.1103/PhysRevLett.109.037207
and (17b) are for non-steady state situations When the steady state will set in, the current density solely generated by the local electric field existing near the interface (i.e, n I e 2 ? m E lz in Eqs. (11) and (17b), and n I e 2 ? m E ly in Eq. (17a)) should be counterbalanced by the electric field created by the charge imbalance induced by the electrons that have crossed such interface. Moreover, the steady state situation, spins imbalance should be found at the two sides of the interface in Cases 1 and 2 ,
Spin polarization of conduction electrons induced by electric current in two-dimensional asymmetric electron systems, Solid State Communications, vol.73, issue.3, p.233, 1990. ,
DOI : 10.1016/0038-1098(90)90963-C
Universal Intrinsic Spin Hall Effect, Physical Review Letters, vol.92, issue.12, p.126603, 2004. ,
DOI : 10.1103/PhysRevLett.92.126603
Calculation of the Intrinsic Spin Hall Effect in Semiconductors, Physical Review Letters, vol.94, issue.22, p.226601, 2005. ,
DOI : 10.1103/PhysRevLett.94.226601
The theory of atomic collisions, 1965. ,
Theory of the Hall Effect in Ferromagnetic Substances, Physical Review, vol.112, issue.3, p.739, 1958. ,
DOI : 10.1103/PhysRev.112.739
Side-Jump Mechanism for the Hall Effect of Ferromagnets, Physical Review B, vol.2, issue.11, p.4559, 1970. ,
DOI : 10.1103/PhysRevB.2.4559
Side-Jump Mechanism for Ferromagnetic Hall Effect, Physical Review Letters, vol.29, issue.7, p.423, 1972. ,
DOI : 10.1103/PhysRevLett.29.423