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

Evgeny N. Bulgakov; Almas F. Sadreev

paper

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

arXiv:cond-mat/0404072

Abstract

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

6 pages, 1 figure