Abstract
The present study investigated spin force by using pseudo spin-orbit coupling in an artificial atomic structure for graphene. This spin force, which is applied on pseudo spin current, can be controlled by graphene gap and electric field due to charged nanodot. It seems that, by this force can be constructed a logical system from graphene and semiconductors. In addition, this force can be used for understanding the Zitterbewegung of electron wave packet with pseudo spin-orbit coupling in graphene and create of the charge Hall effect in semiconductors and graphene.
Highlights
Graphene has developed to one of clearly most active directions of work in current both experimental and theoretical condensed matter physics [1, 2, 3]
One important effect which can achieve in a graphene ring geometry by relativistic formalism of quantum theory, is the pseudo spin-orbit coupling producing in semiconductors and geraphene
We drive the spin force, spin current and Zitterbewegung amplitudes which depend on electric field due to charged nanodat at the central graphene ring
Summary
Graphene has developed to one of clearly most active directions of work in current both experimental and theoretical condensed matter physics [1, 2, 3]. One important effect which can achieve in a graphene ring geometry by relativistic formalism of quantum theory, is the pseudo spin-orbit coupling producing in semiconductors and geraphene. The motion of electron spin with spin-orbit coupling in an electromagnetic field is understandable By this appeared pseudo spin effect in graphene, a logical system can be constructed. Charge accumulation at the central graphene ring produces a radial electric field, while particles circulation around the ring analogue to the orbital motion of electrons around the atomic nucleus [11, 12, 13, 14]. We drive the spin force, spin current and Zitterbewegung amplitudes which depend on electric field due to charged nanodat at the central graphene ring. The role of spin force in generation of the spin Hall effect which driven by the spin current in graphene has been discussed
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