Fig. 3: Transport and magnetism.
From: Connecting physics to systems with modular spin-circuits
a An example spin–valve built out of two interfaces is shown. Numerical results obtained from spin–circuits are compared with theory9 where the charge conductance shows magnetoresistance as a function of the relative angle between the ferromagnets. b Spin–circuit model illustrating the interaction between the magnetization dynamics (modeled by sLLG) and transport modules. The transport model receives two magnetization vectors from the stochastic LLG and produces 4-component spin currents carrying charge and spin information. sLLG receives spin currents and magnetic fields and produces a magnetization vector. c sLLG results are benchmarked with the Fokker–Planck equation (FPE). One thousand low-barrier nanomagnets (with a very small perpendicular magnetic anisotropy) are prepared in the −1 direction and left to relax. The average magnetization \(\left\langle {m}_{z}\right\rangle\) is measured over time and compared to FPE and the analytical solution (see text).
