Abstract
The kagome bands hosting exotic quantum phases generally and understandably pertain only to a kagome lattice. This has severely hampered the research of kagome physics due to the lack of real kagome-lattice materials. Interestingly, we discover that a coloring-triangle (CT) lattice, named after color-triangle tiling, also hosts kagome bands. We demonstrate first theoretically the equivalency between the kagome and CT lattices, and then computationally in photonic (waveguide lattice) and electronic (Au overlayer on electride Ca2N surface) systems by first-principles calculations. The theory can be generalized to even distorted kagome and CT lattices to exhibit ideal kagome bands. Our findings open an avenue to explore the alluding kagome physics.
| Original language | English (US) |
|---|---|
| Article number | 100404 |
| Journal | Physical Review B |
| Volume | 99 |
| Issue number | 10 |
| DOIs | |
| State | Published - Mar 18 2019 |
| Externally published | Yes |
Bibliographical note
Funding Information:Work at Tsinghua University was supported by the Tsinghua University Initiative Scientific Research Program and the NSFC under Grant No. 11774196. Work at the University of Utah was supported by grants from the U.S. Department of Energy (DOE) (Grant No. DEFG02-04ER46148). Shunhong Zhang is supported by the National Postdoctoral Program for Innovative Talents of China (Grant No. BX201600091) and the Funding from China Postdoctoral Science Foundation (Grant No. 2017M610858). M.K., Shunping Zhang, and H.X. are thankful for the financial support from the National Key Basic Research Program (Grant No. 2015CB932400) and the National Natural Science Foundation of China (Grant No. 11674256). M.K. acknowledges financial support from the Wuhan University graduate student overseas exchange program. Numerical simulations of the photonic lattice were performed on supercomputers at Wuhan University. First-principles calculations were performed on the Tianhe-II supercomputer provided by The National Supercomputer Center in Guangzhou, China. The Paratera Tech Co. Ltd. is also sincerely acknowledged for the continuous technical support on high-performance computation.
Funding Information:
Work at Tsinghua University was supported by the Tsinghua University Initiative Scientific Research Program and the NSFC under Grant No. 11774196. Work at the University of Utah was supported by grants from the U.S. Department of Energy (DOE) (Grant No. DEFG02-04ER46148). Shunhong Zhang is supported by the National Postdoctoral Program for Innovative Talents of China (Grant No. BX201600091) and the Funding from China Postdoctoral Science Foundation (Grant No. 2017M610858). M.K., Shunping Zhang, and H.X. are thankful for the financial support from the National Key Basic Research Program (Grant No. 2015CB932400) and the National Natural Science Foundation of China (Grant No. 11674256).
Publisher Copyright:
© 2019 American Physical Society.