Strong anisotropic nodal lines in the TiBe family

Zou, Zhengchun; Zhou, Pan; Ma, Zengsheng; Sun, Lizhong

doi:10.1039/c9cp00508k

Cited by 8 publications

(4 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…because they can host considerably rich fermionic states as well as other interesting physical properties [23][24][25]. TMs can be roughly classified into the following types: (i) topological nodal point (TNP) type [26][27][28][29]39]; (ii) topological nodal line (TNL) type [30][31][32][33][34][35][36][37][38][39]; (iii) topological nodal surface (TNS) type semimetals [40][41][42][43]. The TNP, TNL, and TNS type semimetals host 0D, 1D, and 2D topological elements (TEs), respectively, because these band crossing points (BCPs) can form a point, a line, or a surface in momentum space.…”

Section: Introductionmentioning

confidence: 99%

Pnma metal hydride system LiBH: a superior topological semimetal with the coexistence of twofold and quadruple degenerate topological nodal lines

Zhou¹,

Ding²,

Cheng³

et al. 2020

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

To date, a handful of topological semimetals (TMs) with multiple types of topological nodal line (TNL) states have been theoretically predicted in novel materials. However, their TNLs are often affected by many factors, such as spin-orbit coupling (SOC) effect, strain, and the extraneous bands near the band crossing points, and therefore, the TNL states cannot be easily verified by experiments. Here, by using first-principles calculations, we report that the Pnma LiBH is a potential TM with twofold and quadruple degenerate topological nodal lines. These TNLs situate very close to the Fermi level, and do not coexist with other extraneous bands. More importantly, the TNLs of this material are very robust to the effect of SOC, uniform strain, and biaxial strain. The nontrivial band structure in LiBH produces drum-head-like surface states in the (001) surface projection. Our result reveals that LiBH material is an excellent candidate to study the multiple kinds of TNLs.

show abstract

Section: Introductionmentioning

confidence: 99%

Pnma metal hydride system LiBH: a superior topological semimetal with the coexistence of twofold and quadruple degenerate topological nodal lines

Zhou¹,

Ding²,

Cheng³

et al. 2020

J. Phys.: Condens. Matter

View full text Add to dashboard Cite

show abstract

“…After the discovery of topological insulators (Zhang et al, 2009 ; Hasan and Kane, 2010 ; Yu et al, 2010 ; Qi and Zhang, 2011 ; Rechtsman et al, 2013 ), topological semimetals (Jiang et al, 2015 ; Fang et al, 2016 ; Chang et al, 2017 ; Yan and Felser, 2017 ; Gao et al, 2019 ) with topological band inversion and exotic topological boundary states have attracted widespread attention. To date, many types of topological semimetals have been proposed, including topological nodal point semimetals (Liu et al, 2013 , 2019 ; Li et al, 2014 ; Xu et al, 2014 , 2016 , 2020 ; Dvorak and Wu, 2015 ; Cheng et al, 2017 ; Zhong et al, 2017 ; Gao et al, 2019 ; Zhang et al, 2019 ), topological nodal line semimetals (Cai et al, 2018 ; Chen et al, 2018 ; Gao et al, 2018 ; Zhou et al, 2018 ; He et al, 2019 ; Jin et al, 2019a ; Pham et al, 2019 ; Yi et al, 2019 ; Zou et al, 2019 ; Zhao et al, 2020 ), and topological nodal surface semimetals (Qie et al, 2019 ; Yang and Zhang, 2020 ).…”

Section: Introductionmentioning

confidence: 99%

Cubic Hafnium Nitride: A Novel Topological Semimetal Hosting a 0-Dimensional (0-D) Nodal Point and a 1-D Topological Nodal Ring

Xia

2020

Front. Chem.

View full text Add to dashboard Cite

Very recently, topological semimetals with nontrivial band crossing and associated topological surface states have received widespread attention. Various types of topological semimetals, including nodal point semimetals, nodal line semimetals, and nodal surface semimetals, have been predicted from first principles. In absence of spin-orbit coupling (SOC) effect, we propose that cubic-type hafnium nitride (HfN) with a space group is a novel topological semimetal hosting a rare 0-D triple nodal point and a 1-D topological nodal ring. More importantly, the interesting 0-D and 1-D topological states all occur near the Fermi level, and these topological states are not disturbed by other extraneous bands. When the SOC effect is taken into consideration, 0-D triple nodal point was gapped and a new 0-D topological element, namely, Dirac point appears along Γ-R path. Finally, the dynamical and mechanical stabilities of this semimetal and its associated mechanical properties are discussed in order to provide a reference for future investigations. Our work promises that HfN can serve as a superior topological semimetal with high stability, excellent mechanical properties, and rich topological states.

show abstract

“…Topological nodal point semimetals (Hosur et al, 2012 ; Zyuzin and Burkov, 2012 ; Hosur and Qi, 2013 ; Vazifeh and Franz, 2013 ; Liu et al, 2014 ; Lundgren et al, 2014 ; Kobayashi and Sato, 2015 ; Miransky and Shovkovy, 2015 ; Xu et al, 2015a ; Young and Kane, 2015 ) enjoy 0-D nodal points in momentum space. Topological nodal line semimetals (Cai et al, 2018 ; Chen et al, 2018 ; Gao et al, 2018 ; Zhou et al, 2018 ; He et al, 2019 ; Jin et al, 2019a ; Pham et al, 2019 ; Yi et al, 2019 ; Zou et al, 2019 ; Zhao et al, 2020 ) host 1-D topological nodal lines in momentum space via band crossing along a line in momentum space. Topological nodal surface semimetals (Wu et al, 2018 ; Zhang et al, 2018 ; Fu et al, 2019a ; Qie et al, 2019 ; Yang et al, 2020 ) host 2-D nodal surface states that are composed of continuous band crossing points.…”

Section: Introductionmentioning

confidence: 99%

The Tetragonal Monoxide of Platinum: A New Platform for Investigating Nodal-Line and Nodal-Point Semimetallic Behavior

Xia

Srivastava

2020

Front. Chem.

View full text Add to dashboard Cite

The search for new topological materials that are realistic to synthesize has attracted increasing attention. In this study, we systematically investigated the electronic, mechanical, and topological semimetallic properties, as well as the interesting surface states, of the tetragonal monoxide of platinum, which is realistic to synthesize, via a first-principles approach. Our calculated results indicate that PtO is a novel topological semimetal with double nodal lines in the k z = 0 plane and a pair of triple topological nodal points along the A'-M-A directions. Obvious surface states, including Fermi arc and drum-head-like surfaces, could be found around nodal points and nodal lines. The dynamic and mechanical stabilities of P4 2 /mmc-type PtO were examined in detail via calculation of the phonon dispersion and determination of elastic constants, respectively. Some other mechanical properties, including the bulk modulus, Young's modulus, shear modulus, Poisson's ratio, and Pugh's index, were considered in this study. P4 2 /mmc-type PtO provides a good research platform for investigation of novel behaviors that combine mechanical properties and rich topological elements.

show abstract

Strong anisotropic nodal lines in the TiBe family

Abstract: Using first-principles calculations and k·p model analysis, we find that Dirac nodal lines (DNLs) exist in low energy band structures of real materials of the body-centered cubic TiBe family.

Cited by 8 publications

References 45 publications

Pnma metal hydride system LiBH: a superior topological semimetal with the coexistence of twofold and quadruple degenerate topological nodal lines

Pnma metal hydride system LiBH: a superior topological semimetal with the coexistence of twofold and quadruple degenerate topological nodal lines

Cubic Hafnium Nitride: A Novel Topological Semimetal Hosting a 0-Dimensional (0-D) Nodal Point and a 1-D Topological Nodal Ring

The Tetragonal Monoxide of Platinum: A New Platform for Investigating Nodal-Line and Nodal-Point Semimetallic Behavior

Contact Info

Product

Resources

About