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Title: Weyl points created by a three-dimensional flat band

Abstract

Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial inversion symmetry of a Dirac point. Here we demonstrate a generic formation mechanism for Weyl points by breaking TRS of a three-dimensional (3D) TI featured with highly degenerate 3D flat bands (FBs). It is in direct contrast to the conventional view that breaking TRS of a 2D/3D TI leads to a Chern insulator exhibiting quantum anomalous Hall effect. Based on a tight-binding model of pyrochlore lattice, we show that this unusual 3D-FB-enabled Weyl state may contain only a minimum of two Weyl points. Furthermore, using first-principles calculations, we identify this Weyl state in a real material Sn 2Nb 2O 7. The main features of the resulting Weyl points are analyzed with respect to symmetry, topological invariant and surface state. Finally, our finding sheds new light on our fundamental understanding of topological physics and significantly extends the scope of Weyl semimetals to attract immediate experimental interest.

Authors:
 [1];  [1];  [1];  [2];  [3]
  1. Univ. of Utah, Salt Lake City, UT (United States)
  2. Univ. of Science and Technology of China, Hefei (China)
  3. Univ. of Utah, Salt Lake City, UT (United States); Collaborative Innovation Center of Quantum Matter, Beijing (China)
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory-National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1527174
Alternate Identifier(s):
OSTI ID: 1512351
Grant/Contract Number:  
FG02-04ER46148
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Volume: 99; Journal Issue: 20; 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

Citation Formats

Zhou, Yinong, Jin, Kyung-Hwan, Huang, Huaqing, Wang, Zhengfei, and Liu, Feng. Weyl points created by a three-dimensional flat band. United States: N. p., 2019. Web. doi:10.1103/PhysRevB.99.201105.
Zhou, Yinong, Jin, Kyung-Hwan, Huang, Huaqing, Wang, Zhengfei, & Liu, Feng. Weyl points created by a three-dimensional flat band. United States. doi:10.1103/PhysRevB.99.201105.
Zhou, Yinong, Jin, Kyung-Hwan, Huang, Huaqing, Wang, Zhengfei, and Liu, Feng. Mon . "Weyl points created by a three-dimensional flat band". United States. doi:10.1103/PhysRevB.99.201105.
@article{osti_1527174,
title = {Weyl points created by a three-dimensional flat band},
author = {Zhou, Yinong and Jin, Kyung-Hwan and Huang, Huaqing and Wang, Zhengfei and Liu, Feng},
abstractNote = {Following the discovery of topological insulators (TIs), topological Dirac/Weyl semimetal has attracted much recent interest. A prevailing mechanism for the formation of Weyl points is by breaking time-reversal symmetry (TRS) or spatial inversion symmetry of a Dirac point. Here we demonstrate a generic formation mechanism for Weyl points by breaking TRS of a three-dimensional (3D) TI featured with highly degenerate 3D flat bands (FBs). It is in direct contrast to the conventional view that breaking TRS of a 2D/3D TI leads to a Chern insulator exhibiting quantum anomalous Hall effect. Based on a tight-binding model of pyrochlore lattice, we show that this unusual 3D-FB-enabled Weyl state may contain only a minimum of two Weyl points. Furthermore, using first-principles calculations, we identify this Weyl state in a real material Sn2Nb2O7. The main features of the resulting Weyl points are analyzed with respect to symmetry, topological invariant and surface state. Finally, our finding sheds new light on our fundamental understanding of topological physics and significantly extends the scope of Weyl semimetals to attract immediate experimental interest.},
doi = {10.1103/PhysRevB.99.201105},
journal = {Physical Review B},
number = 20,
volume = 99,
place = {United States},
year = {2019},
month = {5}
}

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