DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Layer-dependent topological phase in a two-dimensional quasicrystal and approximant

Abstract

The electronic and topological properties of materials are derived from the interplay between crystalline symmetry and dimensionality. Simultaneously introducing “forbidden” symmetries via quasiperiodic ordering with low dimensionality into a material system promises the emergence of new physical phenomena. Here, we isolate a two-dimensional (2D) chalcogenide quasicrystal and approximant, and investigate their electronic and topological properties. The 2D layers of the materials with a composition close to Ta 1.6 Te, derived from a layered transition metal dichalcogenide, are isolated with standard exfoliation techniques, and investigated with electron diffraction and atomic resolution scanning transmission electron microscopy. Density functional theory calculations and symmetry analysis of the large unit cell crystalline approximant of the quasicrystal, Ta 21 Te 13 , reveal the presence of symmetry-protected nodal crossings in the quasicrystalline and approximant phases, whose presence is tunable by layer number. Our study provides a platform for the exploration of physics in quasicrystalline, low-dimensional materials and the interconnected nature of topology, dimensionality, and symmetry in electronic systems.

Authors:
; ORCiD logo; ; ;
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division
OSTI Identifier:
1670472
Alternate Identifier(s):
OSTI ID: 1695764
Grant/Contract Number:  
AC02-05-CH11231; AC02-05CH11231
Resource Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Volume: 117 Journal Issue: 42; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences
Country of Publication:
United States
Language:
English
Subject:
36 MATERIALS SCIENCE; two-dimensional materials; quasicrystals; approximant; scanning transmission electron microscopy; topological materials

Citation Formats

Cain, Jeffrey D., Azizi, Amin, Conrad, Matthias, Griffin, Sinéad M., and Zettl, Alex. Layer-dependent topological phase in a two-dimensional quasicrystal and approximant. United States: N. p., 2020. Web. doi:10.1073/pnas.2015164117.
Cain, Jeffrey D., Azizi, Amin, Conrad, Matthias, Griffin, Sinéad M., & Zettl, Alex. Layer-dependent topological phase in a two-dimensional quasicrystal and approximant. United States. https://doi.org/10.1073/pnas.2015164117
Cain, Jeffrey D., Azizi, Amin, Conrad, Matthias, Griffin, Sinéad M., and Zettl, Alex. Mon . "Layer-dependent topological phase in a two-dimensional quasicrystal and approximant". United States. https://doi.org/10.1073/pnas.2015164117.
@article{osti_1670472,
title = {Layer-dependent topological phase in a two-dimensional quasicrystal and approximant},
author = {Cain, Jeffrey D. and Azizi, Amin and Conrad, Matthias and Griffin, Sinéad M. and Zettl, Alex},
abstractNote = {The electronic and topological properties of materials are derived from the interplay between crystalline symmetry and dimensionality. Simultaneously introducing “forbidden” symmetries via quasiperiodic ordering with low dimensionality into a material system promises the emergence of new physical phenomena. Here, we isolate a two-dimensional (2D) chalcogenide quasicrystal and approximant, and investigate their electronic and topological properties. The 2D layers of the materials with a composition close to Ta 1.6 Te, derived from a layered transition metal dichalcogenide, are isolated with standard exfoliation techniques, and investigated with electron diffraction and atomic resolution scanning transmission electron microscopy. Density functional theory calculations and symmetry analysis of the large unit cell crystalline approximant of the quasicrystal, Ta 21 Te 13 , reveal the presence of symmetry-protected nodal crossings in the quasicrystalline and approximant phases, whose presence is tunable by layer number. Our study provides a platform for the exploration of physics in quasicrystalline, low-dimensional materials and the interconnected nature of topology, dimensionality, and symmetry in electronic systems.},
doi = {10.1073/pnas.2015164117},
journal = {Proceedings of the National Academy of Sciences of the United States of America},
number = 42,
volume = 117,
place = {United States},
year = {Mon Oct 05 00:00:00 EDT 2020},
month = {Mon Oct 05 00:00:00 EDT 2020}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
https://doi.org/10.1073/pnas.2015164117

Save / Share:

Works referenced in this record:

Topological Phases without Crystalline Counterparts
journal, November 2019


The crystal structures of NbT 2 and TaTe 2
journal, February 1966


Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
journal, November 1984


Topological insulators and superconductors
journal, October 2011


Dodecagonal bilayer graphene quasicrystal and its approximants
journal, December 2019


Amorphous topological insulators constructed from random point sets
journal, January 2018


Quasicrystalline structure formation in a classical crystalline thin-film system
journal, October 2013

  • Förster, Stefan; Meinel, Klaus; Hammer, René
  • Nature, Vol. 502, Issue 7470
  • DOI: 10.1038/nature12514

Type-II Weyl semimetals
journal, November 2015

  • Soluyanov, Alexey A.; Gresch, Dominik; Wang, Zhijun
  • Nature, Vol. 527, Issue 7579
  • DOI: 10.1038/nature15768

Ultrafast Unbalanced Electron Distributions in Quasicrystalline 30° Twisted Bilayer Graphene
journal, September 2019


Topological States and Adiabatic Pumping in Quasicrystals
journal, September 2012


Four-Dimensional Quantum Hall Effect in a Two-Dimensional Quasicrystal
journal, November 2013


Hexagonal approximants of a dodecagonal tantalum telluride — the crystal structure of Ta21Te13
journal, December 2000


Colloquium: Topological insulators
journal, November 2010


Topological Hofstadter insulators in a two-dimensional quasicrystal
journal, February 2015


Dirac semimetal and topological phase transitions in A 3 Bi ( A = Na , K, Rb)
journal, May 2012


Quantum Spin Hall Effect and Spin Bott Index in a Quasicrystal Lattice
journal, September 2018


Quasicrystalline valence bands in decagonal AlNiCo
journal, August 2000

  • Rotenberg, Eli; Theis, W.; Horn, K.
  • Nature, Vol. 406, Issue 6796
  • DOI: 10.1038/35020519

Quasicrystalline 30° twisted bilayer graphene as an incommensurate superlattice with strong interlayer coupling
journal, June 2018

  • Yao, Wei; Wang, Eryin; Bao, Changhua
  • Proceedings of the National Academy of Sciences, Vol. 115, Issue 27
  • DOI: 10.1073/pnas.1720865115

Model for a Quantum Hall Effect without Landau Levels: Condensed-Matter Realization of the "Parity Anomaly"
journal, October 1988


Quasicrystalline Chern insulators
journal, December 2019


30°-Twisted Bilayer Graphene Quasicrystals from Chemical Vapor Deposition
journal, April 2020


Dirac electrons in a dodecagonal graphene quasicrystal
journal, June 2018


Higher-Order Topological Insulators in Quasicrystals
journal, January 2020


Bose-Einstein condensates in optical quasicrystal lattices
journal, November 2005


Crystallography and the penrose pattern
journal, August 1982


Topological semimetal and Fermi-arc surface states in the electronic structure of pyrochlore iridates
journal, May 2011


Emergence of topological electronic phases in elemental lithium under pressure
journal, April 2019

  • Mack, Stephanie A.; Griffin, Sinéad M.; Neaton, Jeffrey B.
  • Proceedings of the National Academy of Sciences, Vol. 116, Issue 19
  • DOI: 10.1073/pnas.1821533116

Single-component quasicrystalline nanocrystal superlattices through flexible polygon tiling rule
journal, December 2018


A Weyl Fermion semimetal with surface Fermi arcs in the transition metal monopnictide TaAs class
journal, June 2015

  • Huang, Shin-Ming; Xu, Su-Yang; Belopolski, Ilya
  • Nature Communications, Vol. 6, Issue 1
  • DOI: 10.1038/ncomms8373