Two-dimensional Dirac nodal-line semimetal protected by symmetry

Cui, Xingxia; Li, Yafei; Guo, Deping; Guo, Peng‐Jie; Lou, Cancan; Mei, Guangqiang; Lin, Chen; Tan, Shun; Liu, Zhengxin; Li, Kai; Lu, Zhong-Yi; Petek, Hrvoje; Cao, Limin; Ji, Wei; Feng, Min

doi:10.48550/arxiv.2012.15220

Cited by 4 publications

(10 citation statements)

References 50 publications

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“…It was shown that with SOC, the symmetries P , T , a screw axis S 2x and a vertical glide mirror G y can enforce a Dirac line on the k y = π path at the BZ boundary. Such a line was predicted in the so-called brick phase tri-atomic layer Bi(110), which was successfully grown on black phosphorous substrate in experiment [83].…”

Section: D Nodal-line Tsmmentioning

confidence: 81%

“…Fourfold degenerate Dirac lines in 2D was recently proposed in Ref. [82,83]. It was shown that with SOC, the symmetries P , T , a screw axis S 2x and a vertical glide mirror G y can enforce a Dirac line on the k y = π path at the BZ boundary.…”

Section: D Nodal-line Tsmmentioning

confidence: 95%

“…Recently, trilayer Bi structure was also identified as a candidate to host such Dirac lines. [84,85] It was shown that with SOC, the symmetries P, T , a screw axis S 2x and a vertical glide mirror G y can enforce a Dirac line on the k y = π path at the BZ boundary. This Bi structure, called the brick phase tri-atomic layer Bi(110), was successfully grown on black phosphorous substrate in experiment.…”

Section: The 2d Nodal-line Tsmmentioning

confidence: 99%

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Two-dimensional topological semimetals*

Feng

Zhu

et al. 2021

Chinese Phys. B

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The field of two-dimensional topological semimetals, which emerged at the intersection of twodimensional materials and topological materials, have been rapidly developing in recent years. In this article, we briefly review the progress in this field. Our focus is on the basic concepts and notions, in order to convey a coherent overview of the field. Some material examples are discussed to illustrate the concepts. We discuss the outstanding problems in the field that need to be addressed in future research.

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Section: D Nodal-line Tsmmentioning

confidence: 81%

Section: D Nodal-line Tsmmentioning

confidence: 95%

Section: The 2d Nodal-line Tsmmentioning

confidence: 99%

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Two-dimensional topological semimetals*

Feng

Zhu

et al. 2021

Chinese Phys. B

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“…If the leading order of Γ(δk k k) is linear in δk k k, namely, Γ(δk k k) ∼ δk k k • Γ Γ Γ, then the dispersion around this highdegeneracy point froms a cone. For fermionic systems, a conic dispersion is called a Dirac cone [22][23][24][25][26][27][28][29][30][31] if d = 4 and if T = IT (I is the spacial inversion operation) is an element of G 0 (k k k) such that the energy bands are doubly degenerate away from k k k. On the other hand, if the degeneracy remains unchanged along a special line crossing the point k k k, then this line is called a nodal line [32][33][34][35][36][37][38][39][40][41][42].…”

Section: A K • P Perturbation Around High Symmetry Pointsmentioning

confidence: 99%

“…Proof Equation (41) indicates that Γm satisfies the symmetry condition On the other hand, the second equation in ( 39) is equivalent to (37)…”

mentioning

confidence: 99%

A Hamiltonian Approach for Obtaining Irreducible Projective Representations and the $k\cdot p$ Perturbation for Anti-unitary Symmetry Groups

Yang,

Fang

et al. 2021

Preprint

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As is known, the irreducible projective representations (Reps) of anti-unitary groups contain three different situations, namely, the real, the complex and quaternion types with torsion number 1,2,4 respectively. This subtlety increases the complexity in obtaining irreducible projective Reps of antiunitary groups. In the present work, a physical approach is introduced to derive the condition of irreducibility for projective Reps of anti-unitary groups. Then a practical procedure is provided to reduce an arbitrary projective Rep into direct sum of irreducible ones. The central idea is to construct a hermitian Hamiltonian matrix which commutes with the representation of every group element g ∈ G, such that each of its eigenspaces forms an irreducible representation space of the group G. Thus the Rep is completely reduced in the eigenspaces of the Hamiltonian. This approach is applied in the k • p effective theory at the high symmetry points (HSPs) of the Brillouin zone for quasi-particle excitations in magnetic materials. After giving the criterion to judge the power of single-particle dispersion around a HSP, we then provide a systematic procedure to construct the k • p effective model.

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Fabrication of honeycomb AuTe monolayer with Dirac nodal line fermions

et al. 2023

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Two-dimensional honeycomb lattices show great potential in the realization of Dirac nodal line fermions (DNLFs). Here, we successfully synthesized a gold telluride (AuTe) monolayer by direct tellurizing an Au(111) substrate. Low energy electron diffraction measurements reveal that it is (2×2) AuTe layer stacked onto (3×3) Au(111) substrate. Moreover, scanning tunneling microscopy images show that the AuTe layer has a honeycomb structure. Scanning transmission electron microscopy reveals that it is a single-atom layer. In addition, first-principles calculations demonstrate that the honeycomb AuTe monolayer exhibits Dirac nodal line features protected by mirror symmetry, which is validated by angle-resolved photoemission spectra. Our results establish that monolayer AuTe can be a good candidate to investigate 2D DNLFs and provides opportunities to realize high-speed low-dissipation devices.

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Two-dimensional Dirac nodal-line semimetal protected by symmetry

Cited by 4 publications

References 50 publications

Two-dimensional topological semimetals*

Two-dimensional topological semimetals*

A Hamiltonian Approach for Obtaining Irreducible Projective Representations and the $k\cdot p$ Perturbation for Anti-unitary Symmetry Groups

Fabrication of honeycomb AuTe monolayer with Dirac nodal line fermions

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