Spin-Electromagnetics: Spin-Vector-Potential-Coupling-Induced Force, Correlation between Rashba SOC, GMR/TMR and Family of Hall Effects

by Open Science Repository Physics
(March 2019)

Abstract

We establish Universal Mathematical Field Equations (UMFE). Applying UMFE, we re-derive Maxwell equations, which justifies UMFE and shows that the experiments-based Maxwell equations have their mathematical origin; and establish Classical-Spin-Electromagnetics (C-Spin-EM) including Spin-Lorentz-type force and Lagrangian-Lorentz-type force. C-Spin-EM is self-consistence, powerful and fruitful, at classical level, in the perspective of fundamental physics: (1) universally explains and correlates family of Hall effects, zero longitudinal Hall coefficient/resistivity, Extended Rashbe SOC, and GMR/TMR. (2) predicts that Spin-potential coupling directly induce force, which contributes to Aharonov–Bohm effect; (3) provides classical counterparts of Larmor-precession, Stark Effect, Landau–Lifshitz equation, Zeeman effect, and Aharonov–Casher effect; (4) propose that electric field induces spin precession. UMFE shows that mathematical identities lead to physical dualities including duality between Electromagnetics and C-Spin-EM. We postulate a duality between Lagrangian-Lorentz force and Hamiltonian.

Keywords: spin-electromagnetics, spintronics, Rashba effect, anomalous Hall effect, spin Hall effect, topological insulator, GMR/TMR.

Full text

Spin-Electromagnetics: Spin-Vector-Potential-Coupling-Induced Force, Correlation between Rashba SOC, GMR/TMR and Family of Hall Effects