Skyrmion Crystal from RKKY Interaction Mediated by 2D Electron Gas

Abstract

We consider a C${}_6$ invariant lattice of magnetic moments coupled via a Kondo exchange $J$ with a 2D electron gas (2DEG). The effective Ruderman-Kittel-Kasuya-Yosida interaction between the moments stabilizes a magnetic skyrmion crystal in the presence of magnetic field and easy-axis anisotropy. An attractive aspect of this mechanism is that the magnitude of the magnetic ordering wave vectors, ${\mathbf{Q}}_{\nu }$ ($\nu =1,2,3$), is dictated by the Fermi wave number $k_F$: $|{\mathbf{Q}}_{\nu }|=2k_F$. Consequently, the topological contribution to the Hall conductivity of the 2DEG becomes of the order of the quantized value, $e^2/h$, when $J$ is comparable to the Fermi energy ${\epsilon }_F$.

7 pages, 4 figures

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