Topological nodal line state in superconducting NaAlSi compound

Jin, Lei; Zhang, Xiaoming; He, Tingli; Meng, Weizhen; Dai, Xuefang; Liu, Guodong

doi:10.1039/c9tc03464a

Cited by 59 publications

(49 citation statements)

References 68 publications

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“…All of these band crossing points are located quite close to the Fermi level. Because the pure Zr system enjoys spatial inversion and time reversal symmetries, the P and Q band crossing points belong to a nodal line instead of isolated points (Jin et al, 2019 ). Moreover, the Γ-M and M-K paths are situated in the mirror-invariant plane k z = 0, which can protect a nodal line.…”

Section: Resultsmentioning

confidence: 99%

“…Weyl and Dirac materials (Ouyang et al, 2016 ; Zhong et al, 2016 ; Zhou et al, 2016 ; Liu et al, 2017 ; Fu et al, 2018 ; Meng et al, 2019 , 2020a ; Zhang et al, 2020 ), which host 2-fold and fourfold degenerate band-crossing points, have been explored in real materials and their exotic properties have been confirmed in experiments. Moving forward, a series of three-dimension materials, with 1D and 2D band crossing points, have been predicted to be nodal line semimetals/metals (Phillips and Aji, 2014 ; Gan et al, 2017 ; Jin et al, 2017 , 2019 , 2020 ; Lu et al, 2017 ; Yang et al, 2017 ; Chen et al, 2018 ; Gao et al, 2018 ; Liu et al, 2018 ) and nodal surface semimetals/metals (Wu et al, 2018 ; Zhang et al, 2018 ; Wang et al, 2020 ), respectively.…”

Section: Introductionmentioning

confidence: 99%

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Pure Zirconium: Type II Nodal Line and Nodal Surface States

Zhang

Wang

2020

Front. Chem.

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Type II nodal line states have novel properties, such as direction-reliant chiral anomalies and high anisotropic negative magneto-resistance. These type II nodal line states have been widely investigated. Compared to nodal line materials, there are far fewer proposed nodal surface materials, and furthermore, a very recent challenge is to find a realistic material that co-exhibits both nodal line and nodal surface states. In this manuscript, we present the study of the electronic and topological states of pure zirconium within the density functional theory. We found that pure Zr is an interesting material that rarely exhibits both the type II nodal line state (in k z = 0 plane) and nodal surface state (in k z = π plane). The nontrivial topological states are explained based on the orbital-resolved band structures. Our study shows that pure Zr can serve as a new platform to investigate the interplay between the nodal line state and the nodal surface state.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Pure Zirconium: Type II Nodal Line and Nodal Surface States

Zhang

Wang

2020

Front. Chem.

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“…In nodal line semimetals/metals [ 29 , 30 , 31 , 32 , 33 , 34 , 35 , 36 , 37 , 38 ] and nodal surface semimetals/metals [ 38 , 39 , 40 , 41 ], the band-crossing points form one-dimensional (1D) nodal lines and two-dimensional (2D) nodal surfaces, respectively, in the momentum space of solids. The nodal line materials were first predicted in carbon-based networks [ 42 ].…”

Section: Introductionmentioning

confidence: 99%

Perfect Topological Metal CrB2: A One-Dimensional (1D) Nodal Line, a Zero-Dimensional (0D) Triply Degenerate Point, and a Large Linear Energy Range

Xia

Khenata

et al. 2020

Materials

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Topological materials with band-crossing points exhibit interesting electronic characteristics and have special applications in electronic devices. However, to further facilitate the experimental detection of the signatures of these band crossings, topological materials with a large linear energy range around the band-crossing points need to be found, which is challenging. Here, via first-principle approaches, we report that the previously prepared P6/mmm-type CrB2 material is a topological metal with one pair of 1D band-crossing points, that is, nodal lines, in the kz= 0 plane, and one pair of 0D band-crossing points, that is, triple points, along the A–Γ–A’ paths. Remarkably, around these band-crossing points, a large linear energy range (larger than 1 eV) was found and the value was much larger than that found in previously studied materials with a similar linear crossing. The pair of nodal lines showed obvious surface states, which show promise for experimental detection. The effect of the spin–orbit coupling on the band-crossing points was examined and the gaps induced by spin–orbit coupling were found to be up to 69 meV. This material was shown to be phase stable in theory and was synthesized in experiments, and is therefore a potential material for use in investigating nodal lines and triple points.

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“…Nodal line materials [ 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 , 35 ] were first predicted in carbon-based networks and exhibit many interesting electronic and optical properties; furthermore, the associated nontrivial drum head-like surface states have emerged as an interesting research topic. Moreover, if multiple nodal lines conjoin, new types of topological materials are formed, such as nodal chain materials [ 36 , 37 , 38 ], nodal net materials [ 39 ], and nodal link materials [ 40 , 41 , 42 ].…”

Section: Introductionmentioning

confidence: 99%

Insight into the Topological Nodal Line Metal YB2 with Large Linear Energy Range: A First-Principles Study

Xia

Khenata

et al. 2020

Materials

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The presence of one-dimensional (1D) nodal lines, which are formed by band crossing points along a line in the momentum space of materials, is accompanied by several interesting features. However, in order to facilitate experimental detection of the band crossing point signatures, the materials must possess a large linear energy range around the band crossing points. In this work, we focused on a topological metal, YB2, with phase stability and a P6/mmm space group, and studied the phonon dispersion, electronic structure, and topological nodal line signatures via first principles. The computed results show that YB2 is a metallic material with one pair of closed nodal lines in the kz = 0 plane. Importantly, around the band crossing points, a large linear energy range in excess of 2 eV was observed, which was rarely reported in previous reports that focus on linear-crossing materials. Furthermore, YB2 has the following advantages: (1) An absence of a virtual frequency for phonon dispersion, (2) an obvious nontrivial surface state around the band crossing point, and (3) small spin–orbit coupling-induced gaps for the band crossing points.

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Topological nodal line state in superconducting NaAlSi compound

Abstract: NaAlSi manifests both topological band structures and superconductivity, which is promising to realize a topological superconducting state.

Cited by 59 publications

References 68 publications

Pure Zirconium: Type II Nodal Line and Nodal Surface States

Pure Zirconium: Type II Nodal Line and Nodal Surface States

Perfect Topological Metal CrB2: A One-Dimensional (1D) Nodal Line, a Zero-Dimensional (0D) Triply Degenerate Point, and a Large Linear Energy Range

Insight into the Topological Nodal Line Metal YB2 with Large Linear Energy Range: A First-Principles Study

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