Editing Spintronics (section)

=== [[Rashba Spin-Orbit Interaction]] ===
The Rashba spin-orbit interaction, which occurs in systems lacking structural inversion symmetry, is described by:

<math>
H_{R} = \alpha_R \left(\mathbf{k} \times \mathbf{\sigma}\right) \cdot \mathbf{e}_z
</math>

where:
* <math>H_{R}</math> is the Rashba Hamiltonian,
* <math>\alpha_R</math> is the Rashba coefficient,
* <math>\mathbf{k}</math> is the wave vector,
* <math>\mathbf{\sigma}</math> is the vector of Pauli matrices,
* <math>\mathbf{e}_z</math> is the unit vector perpendicular to the plane of the system.

<sub>''Caption:'' These equations represent some of the fundamental mathematical concepts in spintronics, describing spin current density, magnetoresistance, spin diffusion, and related phenomena.''</sub>