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Title: Single Nodal Loop of Accidental Degeneracies in Minimal Symmetry: Triclinic CaAs 3

Abstract

The existence of closed loops of degeneracies in crystals has been intimately connected with associated crystal symmetries, raising the following question: What is the minimum symmetry required for topological character, and can one find an example? Triclinic CaAs 3 , in the space group P1¯ with only a center of inversion, has been found to display, without need for tuning, a nodal loop of accidental degeneracies with topological character, centered on one face of the Brillouin zone that is otherwise fully gapped. The small loop is very flat in energy, yet is cut four times by the Fermi energy, a condition that results in an intricate repeated touching of inversion related pairs of Fermi surfaces at Weyl points. Spin-orbit coupling lifts the fourfold degeneracy along the loop, leaving trivial Kramers pairs. Here, with its single nodal loop that emerges without protection from any point group symmetry, CaAs 3 represents the primal “hydrogen atom” of nodal loop systems.

Authors:
 [1];  [1];  [2]
+ Show Author Affiliations
  1. Beijing Normal Univ. (China). Dept. of Physics and Center for Advanced Quantum Studies
  2. Univ. of California, Davis, CA (United States). Dept. of Physics
Publication Date:
Research Org.:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States). National Energy Research Scientific Computing Center (NERSC)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1544395
Alternate Identifier(s):
OSTI ID: 1353141
Grant/Contract Number:  
AC02-05CH11231
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review Letters
Additional Journal Information:
Journal Volume: 118; Journal Issue: 17; 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

Quan, Y., Yin, Z. P., and Pickett, W. E. Single Nodal Loop of Accidental Degeneracies in Minimal Symmetry: Triclinic CaAs3. United States: N. p., 2017. Web. doi:10.1103/PhysRevLett.118.176402.
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Quan, Y., Yin, Z. P., & Pickett, W. E. Single Nodal Loop of Accidental Degeneracies in Minimal Symmetry: Triclinic CaAs3. United States. https://doi.org/10.1103/PhysRevLett.118.176402
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Quan, Y., Yin, Z. P., and Pickett, W. E. Tue . "Single Nodal Loop of Accidental Degeneracies in Minimal Symmetry: Triclinic CaAs3". United States. https://doi.org/10.1103/PhysRevLett.118.176402. https://www.osti.gov/servlets/purl/1544395.
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@article{osti_1544395,
title = {Single Nodal Loop of Accidental Degeneracies in Minimal Symmetry: Triclinic CaAs3},
author = {Quan, Y. and Yin, Z. P. and Pickett, W. E.},
abstractNote = {The existence of closed loops of degeneracies in crystals has been intimately connected with associated crystal symmetries, raising the following question: What is the minimum symmetry required for topological character, and can one find an example? Triclinic CaAs3, in the space group P1¯ with only a center of inversion, has been found to display, without need for tuning, a nodal loop of accidental degeneracies with topological character, centered on one face of the Brillouin zone that is otherwise fully gapped. The small loop is very flat in energy, yet is cut four times by the Fermi energy, a condition that results in an intricate repeated touching of inversion related pairs of Fermi surfaces at Weyl points. Spin-orbit coupling lifts the fourfold degeneracy along the loop, leaving trivial Kramers pairs. Here, with its single nodal loop that emerges without protection from any point group symmetry, CaAs3 represents the primal “hydrogen atom” of nodal loop systems.},
doi = {10.1103/PhysRevLett.118.176402},
journal = {Physical Review Letters},
number = 17,
volume = 118,
place = {United States},
year = {Tue Apr 25 00:00:00 EDT 2017},
month = {Tue Apr 25 00:00:00 EDT 2017}
}
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Journal Article:
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Publisher's Version of Record
https://doi.org/10.1103/PhysRevLett.118.176402
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Cited by: 38 works
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Figures / Tables:

FIG. 1 FIG. 1: Crystal structure of CaAs3, viewed in the b-c plane. Arsenic atoms (yellow) form two-dimensional chains similar to black phosphorus. The center of inversion lies midway between neighboring Ca ions (shown in red).
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    Works referencing / citing this record:

    Multi-loop node line states in ternary MgSrSi-type crystals
    journal, January 2019

    Semilocal exchange-correlation potentials for solid-state calculations: Current status and future directions
    journal, September 2019

    • Tran, Fabien; Doumont, Jan; Kalantari, Leila
    • Journal of Applied Physics, Vol. 126, Issue 11
    • DOI: 10.1063/1.5118863

    Impurity-induced resonant states in topological nodal-line semimetals
    journal, November 2019

    Hopf-link topological nodal-loop semimetals
    journal, April 2018

    Topological and trivial magnetic oscillations in nodal loop semimetals
    journal, May 2018

    Coemergence of Dirac and multi-Weyl topological excitations in pnictide antiperovskites
    journal, September 2018

    Mirror protected multiple nodal line semimetals and material realization
    journal, November 2018

    Photoemission Spectroscopic Evidence for the Dirac Nodal Line in the Monoclinic Semimetal SrAs 3
    journal, February 2020

    Mirror Protected Multiple Nodal Line Semimetals and Material Realization
    text, January 2018

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      Figures / Tables found in this record:

      FIG. 1 (p. 2)figure
      FIG. 2 (p. 2)figure
      FIG. 3 (p. 3)figure
      FIG. 4 (p. 4)figure
      FIG. 5 (p. 4)figure
      FIG. 6 (p. 7)figure
      FIG. 7 (p. 8)figure
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