Electromagnetic analog of Rashba spin-orbit interaction in wave guides   filled with ferrite

Evgeny N.Bulgakov; Almas F. Sadreev

arXiv:cond-mat/0404072·cond-mat.other·May 23, 2007

Electromagnetic analog of Rashba spin-orbit interaction in wave guides filled with ferrite

Evgeny N.Bulgakov, Almas F. Sadreev

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TL;DR

This paper demonstrates an electromagnetic analog of Rashba spin-orbit interaction in a ferrite-filled waveguide, establishing a correspondence between Maxwell equations and the Schrödinger equation with spin-orbit coupling.

Contribution

It introduces a novel analogy linking electromagnetic wave behavior in ferrite waveguides to quantum spin-orbit phenomena, providing a new platform for studying such effects.

Findings

01

Maxwell equations are equivalent to Schrödinger equation with Rashba interaction

02

The spin-orbit constant is determined by ferrite's magnetic permeability

03

Electromagnetic fields correspond to electron spinor components

Abstract

We consider infinitely long electromagnetic wave guide filled with a ferrite. The wave guide has arbitrary but constant cross-section $. W es h o w t ha tM a x w e l l e q u a t i o n s a r ee q u i v a l e n tt o t h e S c h r \overset{o}{¨} d in g er e q u a t i o n f or s in g l ee l ec t r o nin t h e tw o - d im e n s i o na l q u an t u m d o t o f t h e f or m D w i t ha cco u n t o f t h e R a s hba s p in - or bi t in t er a c t i o n . T h es p in - or bi t co n s t an t i s d e t er minin g b y co m p o n e n t so f ma g n e t i c p er m e abi l i t y o f t h e f er r i t e . T h e u pp er co m p o n e n t o f e l ec t r o n s p in or f u n c t i o n cor r es p o n d s t o t h ez - t h co m p o n e n t e l ec t r i c f i e l d, w hi l e t h e d o w n co m p o n e n t$ \chi$ related to the z-th component of magnetic field by relation (30).

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Taxonomy

TopicsCrystallography and Radiation Phenomena · Electromagnetic Effects on Materials