Two-dimensional Dirac-line semimetals resistant to strong spin–orbit coupling

Guo, Deping; Guo, Peng‐Jie; Tan, Shun; Feng, Min; Cao, Limin; Liu, Zhengxin; Li, Kai; Lu, Zhong-Yi; Ji, Wei

doi:10.1016/j.scib.2022.09.008

Cited by 8 publications

(6 citation statements)

References 13 publications

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“…To show the DNL more clearly, we calculated the 2D electronic band structure. From figure 4(c), the Dirac node line has linear dispersion along the k x direction but shows quadratic dispersion along the line direction, which is consistent with our previous theoretical analysis [18]. Due to the C 4 symmetry, another boundary in the 2D BZ must also host symmetry-enforced DNLs.…”

Section: Materials Calculationssupporting

confidence: 88%

“…According to the four conditions, there are five nonsymmorphic space groups that can enforce 2D DNLs in case of SOC, which are further proved by the calculated symmetry invariants (see [19] for details). Different from the case of P-mma (51) space group [17,18], the two boundaries of 2D BZ for the P-bam(55) and P4-mbm (127) space groups host the DNLs.…”

Section: Symmetry Analysismentioning

confidence: 99%

“…Such symmetry-enforced DNLs indeed exist in 2D systems. Recent theoretical and experimental studies showed that the tri-layered bismuth taking nonsymmorphic space group symmetry Pmma (51) is a nonmagnetic Dirac node-line semimetal which is robust against strong SOC [17,18]. Correspondingly, two interesting questions arise.…”

Section: Future Perspectivesmentioning

confidence: 99%

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Symmetry-enforced two-dimensional Dirac node-line semimetals

et al. 2022

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Based on symmetry analysis and lattice model calculations, we demonstrate that Dirac nodal line (DNL) can stably exist in two-dimensional (2D) nonmagnetic as well as antiferromagnetic systems. We focus on the situations where the DNLs are enforced by certain symmetries with which the degeneracies on the DNLs are inevitable even if spin-orbit coupling is strong. After thorough analysis, we ﬁnd that ﬁve space groups, namely 51, 54, 55, 57 and 127, can enforce the DNLs in 2D nonmagnetic semimetals, and four type-III magnetic space groups (51.293, 54.341, 55.355, 57.380) plus eihgt type-IV magnetic space groups (51.299, 51.300, 51.302, 54.348, 55.360, 55.361, 57.387 and 127.396) can enforce the DNLs in 2D antiferromagnetic semimetals. By breaking these symmetries, the diﬀerent 2D topological phases can be obtained. Furthermore, by the ﬁrst-principles electronic structure calculations, we predict that monolayer YB4C4is a good material platform for studying the exotic properties of 2D symmetry-enforced Dirac node-line semimetals.

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Section: Materials Calculationssupporting

confidence: 88%

Section: Symmetry Analysismentioning

confidence: 99%

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Symmetry-enforced two-dimensional Dirac node-line semimetals

et al. 2022

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“…For the brick phase, a relatively simpler brick system, odd-atomic-layer Bi, is predicted to be a Dirac-line semimetal protected by symmetries in first-principles calculation. 39 In addition, in the optical lattice, the tilted brick-wall system exhibits a sequence of topological phase transitions. 40…”

Section: Calculation Methods and Crystal Structurementioning

confidence: 99%

Non-centrosymmetric Weyl semimetal state and strain effect in the twisted-brick phase transition metal monochalcogenides

Guo

et al. 2023

Nanoscale

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“…In 3D, WNL and DNL are determined by achiral gray double space groups [17], by 230 ordinary/gray single/double space groups [18], by certain black-and-white magnetic space groups [19], and in the presence and absence of spin-orbit coupling (SOC) [20]. Guo et al [21,22] report DNL in the presence of SOC in 2D. On the other hand, full enumeration of layer groups' UNPs hosting fully linear dispersion in non-magnetic 2D materials is a completed task [23].…”

Section: Introductionmentioning

confidence: 99%

Electronic structures near unmovable nodal points and lines in two-dimensional materials

Damljanović

Lazić

2023

J. Phys. A: Math. Theor.

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Unmovable nodal points (UNP) and lines (UNL) are band crossings whose positions in the Brillouin zone are unaltered by symmetry preserving perturbations. Not only positions but also the band structure in their vicinity are determined by the little group of wave vectors and its irreducible (co)representations. In this paper, we give the full set of electronic dispersions near all UNPs and UNLs in non-magnetic quasi two-dimensional (2D) materials, both with and without spin-orbit coupling (SOC). Analysis of all layer gray single and double groups gives nineteen different quasiparticles, the great majority of which are unavoidable for a 2D material that belongs to a certain layer group. This includes Weyl and Dirac nodal lines, dispersions with quadratic or cubic splitting, anisotropic Weyl and Dirac cones, whose orientation can be varied by \emph{e.g.}, strain \emph{etc}. We indicated quasiparticles that are robust to SOC. For convenience, our results are concisely presented graphically - as a map, not in a tabular, encyclopedia form. They may be of use as checkpoints and/or for fitting experimentally (via \emph{e.g.}, ARPES) and numerically obtained electronic band structures data, as well as for deeper theoretical investigations.

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Two-dimensional Dirac-line semimetals resistant to strong spin–orbit coupling

Cited by 8 publications

References 13 publications

Symmetry-enforced two-dimensional Dirac node-line semimetals

Symmetry-enforced two-dimensional Dirac node-line semimetals

Non-centrosymmetric Weyl semimetal state and strain effect in the twisted-brick phase transition metal monochalcogenides

Electronic structures near unmovable nodal points and lines in two-dimensional materials

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