Response of the Skyrmion Lattice in MnSi to Cubic Magnetocrystalline Anisotropies
2018
We report high-precision
small angle neutron scatteringof the orientation of the
skyrmionlattice in a spherical sample of MnSi under systematic changes of the magnetic field direction. For all field directions the
skyrmionlattice may be accurately described as a triple-$\vec{Q}$ state, where the modulus $\vert \vec{Q} \vert$ is constant and the wave vectors enclose rigid angles of $120^{\circ}$. Along a
great circleacross $\langle 100\rangle$, $\langle 110\rangle$, and $\langle 111\rangle$ the normal to the
skyrmion-
lattice planevaries systematically by $\pm3^{\circ}$ with respect to the field direction, while the in-plane alignment displays a reorientation by $15^{\circ}$ for magnetic field along $\langle 100\rangle$. Our observations are qualitatively and quantitatively in excellent agreement with an
effective potential, that is determined by the symmetries of the tetrahedral
point group$T$ and includes contributions up to sixth-order in spin-orbit coupling, providing a full account of the effect of cubic
magnetocrystalline anisotropieson the
skyrmionlattice in MnSi.
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