Mathematical Modelling and Physical Applications of Magnetic Systems

Recently, nanoscale magnetic materials have attracted widespread attention due to their intriguing properties in both theoretical and experimental contexts. During the last two decades, the underlying physics of the complex magnetization dynamics in magnetic systems, such as ferromagnetic and antiferromagnetic films and confined magnetic systems of different shapes, including nanopillars and waveguides, has been widely studied via the formulation of sophisticated mathematical models, both in terms of classical and quantum descriptions. On the other hand, during the same period, intense experimental activity has successfully confirmed the existence several phenomena predicted by the theoretical models and revealed their effects. Concrete applications, such as magnetic memory, logic devices, diodes, transistors, microwave oscillators, and spintronic devices, etc., have been observed. Two main physical phenomena—spin transfer torque (STT) and spin-Hall effects (SHE)—paved the way for the fabrication of spintronic devices.