Skyrmion crystal from RKKY interaction mediated by 2D electron gas
· Invited
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, $\bm{Q}_{\nu}$ ($\nu=1,2,3$), is dictated by the Fermi wave number $k_F$: $|\bm{Q}_{\nu} |=2k_F$. 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 $\epsilon_F$.
*This was carried out under the auspices of the U.S. DOE NNSA under contract No.
89233218CNA000001 through the LDRD Program, and was supported by the
Center for Nonlinear Studies at LANL.
This research used resources of the Oak Ridge Leadership Computing
Facility at the Oak Ridge National Laboratory, which is supported
by the Office of Science of the U.S. Department of Energy under Contract
No. DE-AC05-00OR22725.
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Presenters
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Cristian Batista
- University of Tennessee
- Department of Physics & Astronomy, University of Tennessee, Knoxville, TN 37996, USA
- Department of Physics and Astronomy, University of Tennessee
- Physics and Astronomy, University of Tennessee
- Oakridge National Laboratory
- Department of Physics and astronomy, University of Tennessee
- University of Tennessee, Knoxville
- Department of Physics and Astronomy, University of Tennessee, Knoxville