Spin dynamics with non-abelian Berry gauge fields as a semiclassical constrained hamiltonian system

Autor:	Dayi, Omer F.
Rok vydání:	2007
Předmět:	Condensed Matter - Mesoscale and Nanoscale Physics High Energy Physics - Theory Quantum Physics
Zdroj:	J.Phys.A41:315204,2008
Druh dokumentu:	Working Paper
DOI:	10.1088/1751-8113/41/31/315204
Popis:	The dynamics of observables which are matrices depending on \hbar and taking values in classical phase space is defined retaining the terms up to the first order in \hbar of the Moyal bracket. Within this semiclassical approach a first order lagrangian involving gauge fields is studied as a constrained hamiltonian system. This provides a systematic study of spin dynamics in the presence of non-abelian Berry gauge fields. We applied the method to various types of dynamical spin systems and clarified some persisting discussions. In particular employing the Berry gauge field which generates the Thomas precession, we calculated the force exerted on an electron in the external electric and magnetic fields. Moreover, a simple semiclassical formulation of the spin Hall effect is accomplished. Comment: References and some clarification added. Published version
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0709.3908 Zobrazit plný text záznamu View this record from Arxiv