Second-Order Real Nodal-Line Semimetal in Three-Dimensional Graphdiyne

Chen, Cong; Zeng, Xu-Tao; Chen, Zi-Yu; Zhao, Yifan; Sheng, Xian‐Lei; Yang, Shengyuan A.

doi:10.1103/physrevlett.128.026405

Cited by 62 publications

(41 citation statements)

References 81 publications

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“…The important signatures of a topological nodal-line semimetal is the existence of drumhead-like surface states, which is always nearly flat and can induce various exotic properties, such as high-temperature surface superconductivity [14], strong-correlated effects [15], Friedel oscillations [5] and unusual transport [16]. Although many TNLSMs have been predicted theoretically and realized experimentally [5,12,15,[17][18][19], it is still of great interests to find ideal TNLSM candidates with clean band-crossing close to Fermi level and large characteristic dispersion energy window. [20] Silicon is abundant and nontoxic and has been widely used in integrated circuits and solar cells due to its electronic properties.…”

Section: Introductionmentioning

confidence: 99%

I4/mcm-Si$_{48}$: An Ideal Topological Nodal-Line Semimetal

Su¹,

Li²,

Li³

et al. 2022

Preprint

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Topological semimetals (TSMs) have attracted numerous attention due to their exotic physical properties and great application potentials. Silicon-based TMSs are of particularly importance because of their high abundance, nontoxicity and natural compatibility with current semiconductor industry. In this work, an ideal low-energy topological nodal-line semimetal (TNLSM) silicon (I4/mcm-Si48) with a clean band crossing at Fermi level is screened from thousands of silicon allotropes by the transferable tight-binding and DFT-HSE calculations. The results of formation energy, phonon dispersion, ab initio molecular dynamics and elastic constants show that I4/mcm-Si48 possesses good stability and is more stable than several synthetized silicon structures. By analyzing the symmetry, it reveals that the topological nodal-line of I4/mcm-Si48 is protected by mirror symmetry and inversion, time-reversal and SU(2) spin-rotation symmetries, and the nearly flat drumhead-like surface spectrum is observed. Furthermore, I4/mcm-Si48 exhibits exotic photoelectric properties and the Dirac fermions with high Fermi velocity (3.4∼4.36×10 5 m/s) can be excited by low energy photons. Our study provides a promising topological nodal-line semimetal for fundamental research and potential practical applications in semiconductor-compatible high-speed photoelectric devices.

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Section: Introductionmentioning

confidence: 99%

I4/mcm-Si$_{48}$: An Ideal Topological Nodal-Line Semimetal

Su¹,

Li²,

Li³

et al. 2022

Preprint

Self Cite

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“…However, subsequent studies pointed out that such surface arcs are not protected [25]. More recently, with the development of the concept of higherorder topology [26][27][28][29][30][31][32][33][34][35][36][37], Wieder et al found that these DSMs actually have a second-order topology with hinge Fermi arcs [34].…”

Section: Introductionmentioning

confidence: 99%

Topological hinge modes in Dirac semimetals

Zeng¹,

Chen²,

Chen³

et al. 2022

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Dirac semimetals (DSMs) are an important class of topological states of matter. Here, focusing on DSMs of band inversion type, we investigate their boundary modes from the effective model perspective. We show that in order to properly capture the boundary modes, k-cubic terms must be included in the effective model, which would drive an evolution of surface degeneracy manifold from a nodal line to a nodal point. Using first-principles calculations, we demonstrate that this feature and the topological hinge modes can be clearly exhibited in β-CuI. We further extend the discussion to magnetic DSMs and show that the time-reversal symmetry breaking can gap out the surface bands and hence help to expose the hinge modes in the spectrum, which could be beneficial for the experimental detection of hinge modes.

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“…Similarly, the 3D semimetal can host second-order hinge Fermi arcs and first-order surface Dirac states as well. Recently, graphynes have been proposed as the material candidates which can realize both the 2D topological insuslator and the 3D topological semimetal [37,42,43].…”

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confidence: 99%

Takagi Topological Insulator on the Honeycomb Lattice

Liu,

Wang,

Dai

et al. 2022

Preprint

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Recently, real topological phases protected by P T symmetry have been actively investigated. In two dimensions, the corresponding topological invariant is the Stiefel-Whitney number. A recent theoretical advance is that in the presence of the sublattice symmetry, the Stiefel-Whitney number can be equivalently formulated in terms of Takagi's factorization. The topological invariant gives rise to a novel second-order topological insulator with odd P T -related pairs of corner zero modes. In this article, we review the elements of this novel second-order topological insulator, and demonstrate the essential physics by a simple model on the honeycomb lattice.

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Second-Order Real Nodal-Line Semimetal in Three-Dimensional Graphdiyne

Cited by 62 publications

References 81 publications

I4/mcm-Si$_{48}$: An Ideal Topological Nodal-Line Semimetal

I4/mcm-Si$_{48}$: An Ideal Topological Nodal-Line Semimetal

Topological hinge modes in Dirac semimetals

Takagi Topological Insulator on the Honeycomb Lattice

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