Open Science Repository Physics

doi: 10.7392/openaccess.45011871

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

Hui Peng

ORCID 0000-0002-1844-3163

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.

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Cite this paper

APA

Peng, H. (2019). Spin-Electromagnetics: Spin-Vector-Potential-Coupling-Induced Force, Correlation between Rashba SOC, GMR/TMR and Family of Hall Effects. Open Science Repository Physics, Online(open-access), e45011871. http://doi.org/10.7392/OPENACCESS.45011871

MLA

Peng, Hui. “Spin-Electromagnetics: Spin-Vector-Potential-Coupling-Induced Force, Correlation between Rashba SOC, GMR/TMR and Family of Hall Effects.” Open Science Repository Physics Online.open-access (2019): e45011871.

Chicago

Peng, Hui. “Spin-Electromagnetics: Spin-Vector-Potential-Coupling-Induced Force, Correlation between Rashba SOC, GMR/TMR and Family of Hall Effects.” Open Science Repository Physics. Online, no. open-access (2019): e45011871. doi:10.7392/OPENACCESS.45011871.

Harvard

Peng, H. (2019) Spin-Electromagnetics: Spin-Vector-Potential-Coupling-Induced Force, Correlation between Rashba SOC, GMR/TMR and Family of Hall Effects. Open Science Repository Physics, Online(open-access), p. e45011871. doi: 10.7392/OPENACCESS.45011871.

Science

1. H. Peng, Spin-Electromagnetics: Spin-Vector-Potential-Coupling-Induced Force, Correlation between Rashba SOC, GMR/TMR and Family of Hall Effects, Open Sci. Repos. Phys. Online, e45011871 (2019).

Nature

1. Peng, H. Spin-Electromagnetics: Spin-Vector-Potential-Coupling-Induced Force, Correlation between Rashba SOC, GMR/TMR and Family of Hall Effects. Open Sci. Repos. Phys. Online, e45011871 (2019).

doi

Research registered in the DOI resolution system as: 10.7392/openaccess.45011871.

This work is licensed under a Creative Commons Attribution 3.0 Unported License.