Interplay between magnetism and band topology in the kagome magnets <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>R</mml:mi><mml:msub><mml:mi>Mn</mml:mi><mml:mn>6</mml:mn></mml:msub><mml:msub><mml:mi>Sn</mml:mi><mml:mn>6</mml:mn></mml:msub></mml:mrow></mml:math>
Yongbin Lee, R. Skomski, Xindong Wang, Peter P. Orth, Yafei Ren, Byungkyun Kang, Arjun K. Pathak, Andrey Kutepov, B. N. Harmon, R. J. McQueeney, I. I. Mazin, Liqin Ke
Abstract
The kagome magnets $R$Mn${}_{6}$Sn${}_{6}$ have recently emerged as a new topological materials platform. By elucidating the topological nature of the band structure, the authors conclude that the observed anomalous Hall conductivity is $u\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}r\phantom{\rule{0}{0ex}}e\phantom{\rule{0}{0ex}}l\phantom{\rule{0}{0ex}}a\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}e\phantom{\rule{0}{0ex}}d$ to the previously speculated quasi-two-dimensional Dirac points. The microscopic origin of magnetocrystalline anisotropy is explored at various levels: phenomenological, analytical, and $a\phantom{\rule{0}{0ex}}b$ $i\phantom{\rule{0}{0ex}}n\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}t\phantom{\rule{0}{0ex}}i\phantom{\rule{0}{0ex}}o$. The authors discovered how the special Mn coordination of the rare-earth atoms results in significant high-order anisotropy.