二维手征磁体中的Skyrmion晶格
Skyrmion Lattice in Two-Dimensional Chiral Magnet
摘要：
我们发展了一个理论的磁场诱导形成的Skyrmion晶体状态的手征磁体在两个空间维度，最近发现的Skyrmion相的磁化在薄膜的Fe $_{0.5}$ Co $_{0.5}$ Si和在A-相的MnSi的动机。在CP $^1$表象中重写的手征磁体的Ginzburg-Landau泛函被证明是分析Skyrmion态的一个方便的框架。该模型在零温下的相图给出了一系列基态，螺旋自旋$\rightarrow$ Skyrme晶体$\rightarrow$铁磁体，随着外场$B$的增大，与薄膜实验符合较好.与Abrikosov推导的第二类超导体中的涡旋晶格解密切类似，CP $^1$平均场方程被求解并显示出再现Skyrmion晶体状态。
英文摘要：
We develop a theory of the magnetic field-induced formation of Skyrmion crystal state in chiral magnets in two spatial dimensions, motivated by the recent discovery of the Skyrmionic phase of magnetization in thin film of Fe$_{0.5}$Co$_{0.5}$Si and in the A-phase of MnSi. Ginzburg-Landau functional of the chiral magnet re-written in the CP$^1$ representation is shown to be a convenient framework for the analysis of the Skyrmion states. Phase diagram of the model at zero temperature gives a sequence of ground states, helical spin $\rightarrow$ Skyrme crystal $\rightarrow$ ferromagnet, as the external field $B$ increases, in good accord with the thin-film experiment. In close analogy with Abrikosov's derivation of the vortex lattice solution in type-II superconductor, the CP$^1$ mean-field equation is solved and shown to reproduce the Skyrmion crystal state.
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