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Title: Kagome bands disguised in a coloring-triangle lattice

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. Furthermore, our findings open an avenue to explore the alluding kagome physics.

Authors:
 [1];  [2];  [3];  [3];  [3];  [4];  [5];  [5];  [6];  [7]
+ Show Author Affiliations
  1. Tsinghua Univ., Beijing (China); Univ. of Utah, Salt Lake City, UT (United States)
  2. Wuhan Univ. (China); Univ. of Utah, Salt Lake City, UT (United States)
  3. Univ. of Utah, Salt Lake City, UT (United States)
  4. Beijing Computational Science Research Center (China)
  5. Wuhan Univ. (China)
  6. Tsinghua Univ., Beijing (China); Collaborative Innovation Center of Quantum Matter, Beijing (China)
  7. Univ. of Utah, Salt Lake City, UT (United States); Collaborative Innovation Center of Quantum Matter, Beijing (China)
Publication Date:
Research Org.:
Univ. of Utah, Salt Lake City, UT (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Key Basic Research Program; National Natural Science Foundation of China (NSFC)
OSTI Identifier:
1609551
Alternate Identifier(s):
OSTI ID: 1501703
Grant/Contract Number:  
FG02-04ER46148; 2015CB932400; 11674256
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 10; Journal ID: ISSN 2469-9950
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; materials science; physics; electronic structure; topological materials

Citation Formats

Zhang, Shunhong, Kang, Meng, Huang, Huaqing, Jiang, Wei, Ni, Xiaojuan, Kang, Lei, Zhang, Shunping, Xu, Hongxing, Liu, Zheng, and Liu, Feng. Kagome bands disguised in a coloring-triangle lattice. United States: N. p., 2019. Web. doi:10.1103/physrevb.99.100404.
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Zhang, Shunhong, Kang, Meng, Huang, Huaqing, Jiang, Wei, Ni, Xiaojuan, Kang, Lei, Zhang, Shunping, Xu, Hongxing, Liu, Zheng, & Liu, Feng. Kagome bands disguised in a coloring-triangle lattice. United States. https://doi.org/10.1103/physrevb.99.100404
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Zhang, Shunhong, Kang, Meng, Huang, Huaqing, Jiang, Wei, Ni, Xiaojuan, Kang, Lei, Zhang, Shunping, Xu, Hongxing, Liu, Zheng, and Liu, Feng. Mon . "Kagome bands disguised in a coloring-triangle lattice". United States. https://doi.org/10.1103/physrevb.99.100404. https://www.osti.gov/servlets/purl/1609551.
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@article{osti_1609551,
title = {Kagome bands disguised in a coloring-triangle lattice},
author = {Zhang, Shunhong and Kang, Meng and Huang, Huaqing and Jiang, Wei and Ni, Xiaojuan and Kang, Lei and Zhang, Shunping and Xu, Hongxing and Liu, Zheng and Liu, Feng},
abstractNote = {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. Furthermore, our findings open an avenue to explore the alluding kagome physics.},
doi = {10.1103/physrevb.99.100404},
journal = {Physical Review B},
number = 10,
volume = 99,
place = {United States},
year = {Mon Mar 18 00:00:00 EDT 2019},
month = {Mon Mar 18 00:00:00 EDT 2019}
}
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https://doi.org/10.1103/physrevb.99.100404
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    Works referencing / citing this record:

    Hidden mechanism for embedding the flat bands of Lieb, kagome, and checkerboard lattices in other structures
    journal, July 2019

    Flat bands and nontrivial topological properties in an extended Lieb lattice
    journal, December 2019

    Molecular beam epitaxy growth of antiferromagnetic Kagome metal FeSn
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    • Inoue, Hisashi; Han, Minyong; Ye, Linda
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