skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

This content will become publicly available on December 13, 2020

Title: Phononic Helical Nodal Lines with PT Protection in MoB 2

Abstract

While condensed matter systems host both fermionic and bosonic quasiparticles, reliably predicting and empirically verifying topological states is only mature for Fermionic electronic structures, leaving topological Bosonic excitations sporadically explored. This is unfortunate, as Bosonic systems such as phonons offer the opportunity to assess spinless band structures where nodal lines can be realized without invoking special additional symetries to protect against spin-orbit coupling. Here we combine first-principles calculations and meV-resolution inelastic x-ray scattering to demonstrate the first realization of parity-time reversal symmetry protected helical nodal lines in the phonon spectrum of MoB 2. This structure is unique to phononic systems as the spin-orbit coupling present in electronic systems tends to lift the degeneracy away from high-symmetry locations. Our study establishes a protocol to accurately identify topological Bosonic excitations, opening a new route to explore exotic topological states in crystalline materials.

Authors:
 [1]; ORCiD logo [2];  [3];  [4]; ORCiD logo [5]; ORCiD logo [5];  [5];  [6];  [3];  [7];  [7]; ORCiD logo [2]
  1. Chinese Academy of Sciences (CAS), Beijing (China); Univ. of Chinese Academy of Sciences, Beijing (China); Tokyo Inst. of Technology, Tokyo (Japan); Tokyo Inst. of Technology, Kanagawa (Japan)
  2. Brookhaven National Lab. (BNL), Upton, NY (United States)
  3. Renmin Univ. of China, Beijing (China)
  4. Chinese Academy of Sciences (CAS), Beijing (China); Brookhaven National Lab. (BNL), Upton, NY (United States); Univ. of Chinese Academy of Sciences, Beijing (China); ShanghaiTech Univ., Shanghai (China)
  5. Argonne National Lab. (ANL), Argonne, IL (United States)
  6. ShanghaiTech Univ., Shanghai (China)
  7. Chinese Academy of Sciences (CAS), Beijing (China); Songshan Lake Materials Lab., Guangdong (China)
Publication Date:
Research Org.:
Brookhaven National Lab. (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Scientific User Facilities Division
OSTI Identifier:
1581515
Report Number(s):
BNL-212501-2020-JAAM
Journal ID: ISSN 0031-9007; PRLTAO
Grant/Contract Number:  
SC0012704; AC02-06CH11357
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 123; Journal Issue: 24; Journal ID: ISSN 0031-9007
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY

Citation Formats

Zhang, T. T., Miao, H., Wang, Q., Lin, J. Q., Cao, Y., Fabbris, G., Said, A. H., Liu, X., Lei, H. C., Fang, Z., Weng, H. M., and Dean, Mark P. M. Phononic Helical Nodal Lines with PT Protection in MoB2. United States: N. p., 2019. Web. doi:10.1103/PhysRevLett.123.245302.
Zhang, T. T., Miao, H., Wang, Q., Lin, J. Q., Cao, Y., Fabbris, G., Said, A. H., Liu, X., Lei, H. C., Fang, Z., Weng, H. M., & Dean, Mark P. M. Phononic Helical Nodal Lines with PT Protection in MoB2. United States. doi:10.1103/PhysRevLett.123.245302.
Zhang, T. T., Miao, H., Wang, Q., Lin, J. Q., Cao, Y., Fabbris, G., Said, A. H., Liu, X., Lei, H. C., Fang, Z., Weng, H. M., and Dean, Mark P. M. Fri . "Phononic Helical Nodal Lines with PT Protection in MoB2". United States. doi:10.1103/PhysRevLett.123.245302.
@article{osti_1581515,
title = {Phononic Helical Nodal Lines with PT Protection in MoB2},
author = {Zhang, T. T. and Miao, H. and Wang, Q. and Lin, J. Q. and Cao, Y. and Fabbris, G. and Said, A. H. and Liu, X. and Lei, H. C. and Fang, Z. and Weng, H. M. and Dean, Mark P. M.},
abstractNote = {While condensed matter systems host both fermionic and bosonic quasiparticles, reliably predicting and empirically verifying topological states is only mature for Fermionic electronic structures, leaving topological Bosonic excitations sporadically explored. This is unfortunate, as Bosonic systems such as phonons offer the opportunity to assess spinless band structures where nodal lines can be realized without invoking special additional symetries to protect against spin-orbit coupling. Here we combine first-principles calculations and meV-resolution inelastic x-ray scattering to demonstrate the first realization of parity-time reversal symmetry protected helical nodal lines in the phonon spectrum of MoB2. This structure is unique to phononic systems as the spin-orbit coupling present in electronic systems tends to lift the degeneracy away from high-symmetry locations. Our study establishes a protocol to accurately identify topological Bosonic excitations, opening a new route to explore exotic topological states in crystalline materials.},
doi = {10.1103/PhysRevLett.123.245302},
journal = {Physical Review Letters},
number = 24,
volume = 123,
place = {United States},
year = {2019},
month = {12}
}

Journal Article:
Free Publicly Available Full Text
This content will become publicly available on December 13, 2020
Publisher's Version of Record

Save / Share:

Works referenced in this record:

Topological Classification of Crystalline Insulators through Band Structure Combinatorics
journal, December 2017


Symmetry-based indicators of band topology in the 230 space groups
journal, June 2017


Quantitative mappings between symmetry and topology in solids
journal, August 2018


Diagnosis for Nonmagnetic Topological Semimetals in the Absence of Spin-Orbital Coupling
journal, September 2018


Topological quantum chemistry
journal, July 2017

  • Bradlyn, Barry; Elcoro, L.; Cano, Jennifer
  • Nature, Vol. 547, Issue 7663
  • DOI: 10.1038/nature23268

Topological Phononic Crystals with One-Way Elastic Edge Waves
journal, September 2015


Topological Phonons and Weyl Lines in Three Dimensions
journal, August 2016


Classification of topological quantum matter with symmetries
journal, August 2016


Double-Weyl Phonons in Transition-Metal Monosilicides
journal, January 2018


Dirac and Nodal Line Magnons in Three-Dimensional Antiferromagnets
journal, December 2017


Topological spin excitations in a three-dimensional antiferromagnet
journal, July 2018


The Anomalous Hall Effect and Magnetic Monopoles in Momentum Space
journal, October 2003


Weyl and Dirac semimetals in three-dimensional solids
journal, January 2018


Dirac Semimetals in Two Dimensions
journal, September 2015


Topological nodal line semimetals
journal, November 2016


Drumhead surface states and topological nodal-line fermions in TlTaSe 2
journal, March 2016


Beyond Dirac and Weyl fermions: Unconventional quasiparticles in conventional crystals
journal, July 2016


New developments in fabrication of high-energy-resolution analyzers for inelastic X-ray spectroscopy
journal, March 2011

  • Said, Ayman H.; Sinn, Harald; Divan, Ralu
  • Journal of Synchrotron Radiation, Vol. 18, Issue 3
  • DOI: 10.1107/S0909049511001828

Six-reflection meV-monochromator for synchrotron radiation
journal, May 2011


Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set
journal, October 1996


Generalized Gradient Approximation Made Simple
journal, October 1996

  • Perdew, John P.; Burke, Kieron; Ernzerhof, Matthias
  • Physical Review Letters, Vol. 77, Issue 18, p. 3865-3868
  • DOI: 10.1103/PhysRevLett.77.3865

First principles phonon calculations in materials science
journal, November 2015


Double crystallographic groups and their representations on the Bilbao Crystallographic Server
journal, September 2017

  • Elcoro, Luis; Bradlyn, Barry; Wang, Zhijun
  • Journal of Applied Crystallography, Vol. 50, Issue 5
  • DOI: 10.1107/S1600576717011712

Phonon line shapes and excitation energies
journal, June 1997


Highly convergent schemes for the calculation of bulk and surface Green functions
journal, April 1985

  • Sancho, M. P. Lopez; Sancho, J. M. Lopez; Sancho, J. M. L.
  • Journal of Physics F: Metal Physics, Vol. 15, Issue 4
  • DOI: 10.1088/0305-4608/15/4/009

Quick iterative scheme for the calculation of transfer matrices: application to Mo (100)
journal, May 1984

  • Sancho, M. P. Lopez; Sancho, J. M. Lopez; Rubio, J.
  • Journal of Physics F: Metal Physics, Vol. 14, Issue 5
  • DOI: 10.1088/0305-4608/14/5/016

WannierTools: An open-source software package for novel topological materials
journal, March 2018


Catalogue of topological electronic materials
journal, February 2019


A complete catalogue of high-quality topological materials
journal, February 2019


Comprehensive search for topological materials using symmetry indicators
journal, February 2019


Incommensurate Phonon Anomaly and the Nature of Charge Density Waves in Cuprates
journal, January 2018


Many-Body Effects in Angle-Resolved Photoemission: Quasiparticle Energy and Lifetime of a Mo(110) Surface State
journal, September 1999


Nanoscale surface dynamics of Bi 2 Te 3 (111): observation of a prominent surface acoustic wave and the role of van der Waals interactions
journal, January 2018

  • Tamtögl, Anton; Campi, Davide; Bremholm, Martin
  • Nanoscale, Vol. 10, Issue 30
  • DOI: 10.1039/C8NR03102A