Bias dependence of magnetic exchange interactions: application to interlayer exchange coupling in spin valves
arXiv:0809.4451 · doi:10.1103/PhysRevB.79.054405
Abstract
We study how a bias voltage changes magnetic exchange interactions. We derive a general expression for magnetic exchange interactions for systems coupled to reservoirs under a bias potential, and apply it to spin valves. We find that for metallic systems, the interlayer exchange coupling shows a weak, oscillatory dependence on the bias potential. For tunneling systems, we find a quadratic dependence on the bias potential, and derive an approximate expression for this bias dependence for a toy model. We give general conditions for when the interlayer exchange coupling is a quadratic function of bias potential.
10 pages, 8 figures
References in corpus (13)
- Spin Transfer Torques
- Measurement of the Spin-Transfer-Torque Vector in Magnetic Tunnel Junctions
- Currents, Torques, and Polarization Factors in Magnetic Tunnel Junctions
- Non-collinear Magnetoelectronics
- Anomalous Bias Dependence of Spin Torque in Magnetic Tunnel Junctions
- First-principles study of magnetization relaxation enhancement and spin-transfer in thin magnetic films
- Current driven switching of magnetic layers
- Ab initio studies of the spin-transfer torque in tunnel junctions
- Spin-transfer torque in magnetic tunnel junctions: Scattering theory
- Current-Induced Effective Magnetic Fields in Co/Cu/Co Nanopillars
- Current Induced Order Parameter Dynamics: Microscopic Theory Applied to Co/Cu/Co spin valves
- The Ruderman-Kittel-Kasuya-Yosida (RKKY) interaction across a tunneling junction out of equilibrium
- Implementation of a non-equilibrium Green's function method to calculate spin transfer torque
Cited by in corpus (14)
- Spin-orbit torques in Co/Pt(111) and Mn/W(001) magnetic bilayers from first principles
- Magnetoelectric Response of the Time-Reversal Invariant Helical Metal
- The relation of the Dzyaloshinskii-Moriya interaction to spin currents and to the spin-orbit field
- How to construct the proper gauge-invariant density matrix in steady-state nonequilibrium: Applications to spin-transfer and spin-orbit torques
- Influence of the magnetic material on tunneling magnetoresistance and spin-transfer torque in tunnel junctions: Ab initio studies
- Critical current density for spin transfer torque switching with composite free layer structure
- Voltage-dependent spin flip in magnetically-substituted graphene nanoribbons: Toward the realization of graphene-based spintronic devices
- Bidirectional switching assisted by interlayer exchange coupling in asymmetric magnetic tunnel junctions
- Spin-torque generation by dc or ac voltages in magnetic layered structures
- Spin Transfer Torque and Tunneling Magnetoresistance Dependences on the Finite Bias Voltages and Insulator Barrier Energy
- Electric-Field Control of the Interlayer Exchange Coupling for Magnetization Switching
- Microscopic theory of the Coulomb based exchange coupling in magnetic tunnel junctions
- Adiabatic quantum pumping, magnification effects and quantum size effects of spin-torque in magnetic tunnel junctions
- Voltage- and temperature-dependent rare-earth dopant contribution to the interfacial magnetic anisotropy