English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

Skyrmions with the topological number $Q$ equal an integer larger than 1 arecalled high-topological-number skyrmions or high-$Q$ skyrmions. In this work,we theoretically study the topological Hall effect in square-lattice high-$Q$skyrmion crystals (SkX) with $Q=2$ and $Q=3$. As a result of the emergentmagnetic field, Landau-level-like electronic band structure gives rise toquantized Hall conductivity when the Fermi energy is within the gaps betweenadjacent single band or multiple bands intertwined. We found that differentfrom conventional ($Q=1$) SkX the Hall quantization number increases by $1/Q$in average when the elevating Fermi energy crosses each band. We attribute theresult to the fact that the Berry phase ${\cal{C}}$ is measured in the momentumspace and the topological number of a single skyrmion $Q$ is measured in thereal space. The reciprocality does not affect the conventional SkX because$Q=1=1/Q$.

Unconventional topological Hall effect in high-topological-number skyrmion crystals