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

Journal Article · · Physical Review B
 [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)

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.

Research Organization:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-04ER46148
OSTI ID:
1527174
Alternate ID(s):
OSTI ID: 1512351
Journal Information:
Physical Review B, Vol. 99, Issue 20; ISSN 2469-9950
Publisher:
American Physical Society (APS)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

References (66)

Bismuthene on a SiC substrate: A candidate for a high-temperature quantum spin Hall material journal June 2017
Generalized Gradient Approximation Made Simple journal October 1996
Ferromagnetism in the Hubbard models with degenerate single-electron ground states journal September 1992
Projector augmented-wave method journal December 1994
Possibility of Flat-Band Ferromagnetism in Hole-Doped Pyrochlore Oxides Sn 2 Nb 2 O 7 and Sn 2 Ta 2 O 7 journal May 2018
Quantum Spin Hall Insulator State in HgTe Quantum Wells journal November 2007
Topological Materials: Weyl Semimetals journal March 2017
Quantum spin Hall effect and spin-charge separation in a kagomé lattice journal April 2010
wannier90: A tool for obtaining maximally-localised Wannier functions journal May 2008
Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices journal April 2011
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells journal December 2006
From ultrasoft pseudopotentials to the projector augmented-wave method journal January 1999
Chern Semimetal and the Quantized Anomalous Hall Effect in HgCr 2 Se 4 journal October 2011
Maximally localized generalized Wannier functions for composite energy bands journal November 1997
Exotic electronic states in the world of flat bands: From theory to material journal July 2014
Exact ground states for the Hubbard model on the Kagome lattice journal August 1992
Superconductivity in repulsively interacting fermions on a diamond chain: Flat-band-induced pairing journal December 2016
Magnetic-field effects on a two-dimensional Kagomé lattice of quantum dots journal February 2002
High-precision sampling for Brillouin-zone integration in metals journal August 1989
Observation of Weyl nodes in TaAs journal August 2015
Stability of Ferromagnetism in the Hubbard Model on the Kagome Lattice journal February 2003
Fully unconstrained noncollinear magnetism within the projector augmented-wave method journal November 2000
Weyl semimetal phase in the non-centrosymmetric compound TaAs journal August 2015
Topological insulator on the kagome lattice journal September 2009
Fractional Quantum Hall States at Zero Magnetic Field journal June 2011
High-Temperature Fractional Quantum Hall States journal June 2011
Nearly Flatbands with Nontrivial Topology journal June 2011
Proposed realization of itinerant ferromagnetism in optical lattices journal November 2010
Quantized Hall Conductance in a Two-Dimensional Periodic Potential journal August 1982
Ferromagnetism in the Hubbard model on line graphs and further considerations journal July 1991
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator journal March 2013
BCS theory on a flat band lattice journal September 2007
Z2 Topological Order and the Quantum Spin Hall Effect journal September 2005
Quantum Anomalous Hall Effect in 2D Organic Topological Insulators journal May 2013
Quantum Spin Hall Effect in Graphene journal November 2005
Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set journal October 1996
Topology and Interactions in a Frustrated Slab: Tuning from Weyl Semimetals to C > 1 Fractional Chern Insulators journal January 2015
Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface journal September 2014
Ferromagnetic ground states for the Hubbard model on line graphs journal January 1991
Discovery of a Weyl fermion semimetal and topological Fermi arcs journal July 2015
p x , y -orbital counterpart of graphene: Cold atoms in the honeycomb optical lattice journal June 2008
Kinetic Ferromagnetism on a Kagome Lattice journal April 2008
WannierTools: An open-source software package for novel topological materials journal March 2018
Z Q topological invariants for Polyacetylene, Kagome and Pyrochlore lattices journal June 2011
Prediction of a Two-Dimensional Organic Topological Insulator journal May 2013
Three-Dimensional Topological Insulators on the Pyrochlore Lattice journal November 2009
Quantized Anomalous Hall Effect in Magnetic Topological Insulators journal June 2010
Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates journal May 2011
Flat Bands and Wigner Crystallization in the Honeycomb Optical Lattice journal August 2007
Spin Hall effect on the kagome lattice with Rashba spin-orbit interaction journal January 2009
Reducing Dzyaloshinskii-Moriya interaction and field-free spin-orbit torque switching in synthetic antiferromagnets journal May 2021
Electronic structure of AlFeN films exhibiting crystallographic orientation change from c- to a-axis with Fe concentrations and annealing effect journal February 2020
WannierTools: An open-source software package for novel topological materials text January 2018
Proposed realization of itinerant ferromagnetism in optical lattices text January 2008
Spin Hall effect in the kagome lattice with Rashba spin-orbit interaction text January 2009
$Z_Q$ Topological Invariants for Polyacetylene, Kagome and Pyrochlore lattices text January 2010
Topological Insulators from Spontaneous Symmetry Breaking Induced by Electron Correlation on Pyrochlore Lattices text January 2010
Nearly-flat bands with nontrivial topology text January 2010
Epitaxial growth of large-gap quantum spin Hall insulator on semiconductor surface text January 2014
Discovery of a Weyl Fermion Semimetal and Topological Fermi Arcs text January 2015
Observation of Weyl nodes in TaAs text January 2015
Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator text January 2016
Superconductivity in repulsively interacting fermions on a diamond chain: flat-band induced pairing text January 2016
Topological Materials: Weyl Semimetals text January 2016
WannierTools: An open-source software package for novel topological materials text January 2017
Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells text January 2006