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|標題:||Geometrical effect on the non-Abelian spin-orbital gauge field of a curved surface||作者:||Cheng, T.C.
|關鍵字:||electron-gas;semiconductors;spintronics||Project:||Physical Review B||期刊/報告no：:||Physical Review B, Volume 84, Issue 21.||摘要:||
The geometrical effect of a two-dimensional electron gas system with the Rashba and Dresselhaus spin-orbital interactions on a curved surface is studied; it corresponds to a non-Abelian gauge field and a scalar field. The behavior of electrons with spin on a curved space can be transformed into that of a simple system of an electron with spin on a flat surface with a geometrical metric tensor. In addition to the dynamic phase of traveling electrons on a flat surface, a geometrical phase induced by curved space is also observed, and this phase can be demonstrated by use of the path integral. Therefore, the spin-rotation operator and quantum loop of electrons with spin on a curved space are obtained. The induced phases on three curved spaces with flat, cylindrical, and spherical geometry are calculated, and the roles of space curvature in spin precession are also analyzed.
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