Abstract
The analytical solution of the periodic elastic fields in chiral magnets caused by presence of periodically distributed eigenstrains is obtained. For the skyrmion phase, both the periodic displacement field and the stress field are composed of three “triple-Q” structures with different wave numbers. The periodic displacement field, obtained by combining the three “triple-Q” displacement structures, is found to have the same lattice vectors with the magnetic skyrmion lattice. We find that for increasing external magnetic field, one type of “triple-Q” displacement structure and stress structure undergo a “configurational reversal”, where the initial and the final field configuration share similar pattern but with opposite direction of all the field vectors. The solution obtained is of fundamental significance for understanding the emergent mechanical properties of skyrmions in chiral magnets.
Highlights
Chiral magnets have attracted interest over the last few years due to experimental observation of a new chiral modulated magnetic state, commonly referred to as skyrmion lattice, first in MnSi1, and in Fe0.5Co0.5Si2 and FeGe3
We find that appearance of the triple-Q skyrmion lattices is accompanied by formation of three types of triple-Q structures in the displacement field, described by uS1(r), uS2(r), and uS3(r), as well as formation of three types of triple-Q structures in the stress field, described by σiSj1, σiSj2, and σiSj3
We find an interesting phenomenon that the field configuration of both uS1 and σ3S1 undergoes a “configurational reversal” when the external magnetic field increases: comparing Figure 3(a) and Figure 3(d) (Figure 4(a) and Figure 4(d)), it is observed that field configuration of uS1 (σ3S1) plotted at applied field 0.1T and 0.4T shares similar pattern but with opposite direction of all the field vectors
Summary
Chiral magnets have attracted interest over the last few years due to experimental observation of a new chiral modulated magnetic state, commonly referred to as skyrmion lattice, first in MnSi1, and in Fe0.5Co0.5Si2 and FeGe3. Regarding the nonlinear nature of the magnetoelastic coupling in chiral magnets, additional periodic structures with changed wave vectors may occur in the solution of elastic field. When the system is free from external mechanical loads, the solution of Uq can be obtained by solving the eigenstrain problem for chiral magnets as
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