Ideal Spin-Orbit-Free Dirac Semimetal and Diverse Topological Transitions in Pr$_8$CoGa$_3$ Family

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Main Authors: Sato, Manabu, Bouaziz, Juba, Sumita, Shuntaro, Kobayashi, Shingo, Tateishi, Ikuma, Blügel, Stefan, Furusaki, Akira, Hirayama, Motoaki
Format: Preprint
Published: 2024
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author Sato, Manabu
Bouaziz, Juba
Sumita, Shuntaro
Kobayashi, Shingo
Tateishi, Ikuma
Blügel, Stefan
Furusaki, Akira
Hirayama, Motoaki
author_facet Sato, Manabu
Bouaziz, Juba
Sumita, Shuntaro
Kobayashi, Shingo
Tateishi, Ikuma
Blügel, Stefan
Furusaki, Akira
Hirayama, Motoaki
contents Topological semimetals, known for their intriguing properties arising from band degeneracies, have garnered significant attention. However, the discovery of a material realization and the detailed characterization of spinless Dirac semimetals have not yet been accomplished. Here, we propose from first-principles calculations that the $RE_8\mathrm{Co}X_3$ group ($RE$ = rare earth elements, $X$ = Al, Ga, or In) contains ideal spinless Dirac semimetals whose Fermi surfaces are fourfold degenerate band-crossing points (without including spin degeneracy). Despite the lack of space inversion symmetry in these materials, Dirac points are formed on the rotation-symmetry axis due to accidental degeneracies of two bands corresponding to different 2-dimensional irreducible representations of $C_{6v}$ group. We also investigate, through first-principles calculations and effective model analysis, various phase transitions caused by lattice distortion or elemental substitutions from the Dirac semimetal phase to distinct topological semimetallic phases such as nonmagnetic linked-nodal-line and Weyl semimetals (characterized by the second Stiefel-Whitney class) and ferromagnetic Weyl semimetals.
format Preprint
id arxiv_https___arxiv_org_abs_2401_13930
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Ideal Spin-Orbit-Free Dirac Semimetal and Diverse Topological Transitions in Pr$_8$CoGa$_3$ Family
Sato, Manabu
Bouaziz, Juba
Sumita, Shuntaro
Kobayashi, Shingo
Tateishi, Ikuma
Blügel, Stefan
Furusaki, Akira
Hirayama, Motoaki
Materials Science
Topological semimetals, known for their intriguing properties arising from band degeneracies, have garnered significant attention. However, the discovery of a material realization and the detailed characterization of spinless Dirac semimetals have not yet been accomplished. Here, we propose from first-principles calculations that the $RE_8\mathrm{Co}X_3$ group ($RE$ = rare earth elements, $X$ = Al, Ga, or In) contains ideal spinless Dirac semimetals whose Fermi surfaces are fourfold degenerate band-crossing points (without including spin degeneracy). Despite the lack of space inversion symmetry in these materials, Dirac points are formed on the rotation-symmetry axis due to accidental degeneracies of two bands corresponding to different 2-dimensional irreducible representations of $C_{6v}$ group. We also investigate, through first-principles calculations and effective model analysis, various phase transitions caused by lattice distortion or elemental substitutions from the Dirac semimetal phase to distinct topological semimetallic phases such as nonmagnetic linked-nodal-line and Weyl semimetals (characterized by the second Stiefel-Whitney class) and ferromagnetic Weyl semimetals.
title Ideal Spin-Orbit-Free Dirac Semimetal and Diverse Topological Transitions in Pr$_8$CoGa$_3$ Family
topic Materials Science
url https://arxiv.org/abs/2401.13930