Spin-Orbit Torque in Magnetic Bilayers - Spintronics Theory Group
Spin-Orbit Torque in Magnetic Bilayers - Spintronics Theory Group Spin-Orbit Torque in Magnetic Bilayers - Spintronics Theory Group
V. Spin-‐orbitronics with Magnons The Magnonic DM Torque CollaboraCon: K.J. Lee, J.H. Moon (Korea U.); H.W. Lee (Postech) P. Birame Ndiaye Rashba Hamiltonian for electrons Dzyaloshinskii-‐Moriya Hamiltonian for magnons Therefore, one expects a DM torque mediated by the magnons èSame direcCon as the Rashba torque: z x j Birame Ndiaye, Jung-‐Hwan Moon , K.-‐J. Lee, and A. Manchon, unpublished (2013) 32
V. Spin-‐orbitronics with Magnons The Magnonic DM Torque CollaboraCon: K.J. Lee, J.H. Moon (Korea U.); H.W. Lee (Postech) M (+k) (−k) H = H 0 sin(2πf 0 t)y P. Birame Ndiaye Standard RF-‐spin waves Thermally-‐induced magnons The magneCzaCon is Clted when injecCng magnons in the system Birame Ndiaye, Jung-‐Hwan Moon , K.-‐J. Lee, and A. Manchon, unpublished (2013) 33
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V. <strong>Sp<strong>in</strong></strong>-‐orbitronics with Magnons <br />
The Magnonic DM <strong>Torque</strong> <br />
CollaboraCon: K.J. Lee, J.H. Moon (Korea U.); H.W. Lee (Postech) <br />
P. Birame Ndiaye <br />
Rashba Hamiltonian for electrons <br />
Dzyalosh<strong>in</strong>skii-‐Moriya Hamiltonian for magnons <br />
Therefore, one expects a DM torque mediated by the magnons <br />
èSame direcCon as the Rashba torque: z x j <br />
Birame Ndiaye, Jung-‐Hwan Moon , K.-‐J. Lee, and A. Manchon, unpublished (2013) <br />
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