scholarly journals Symmetry-protected nodal points and nodal lines in magnetic materials

2021 ◽  
Vol 103 (24) ◽  
Author(s):  
Jian Yang ◽  
Chen Fang ◽  
Zheng-Xin Liu
2019 ◽  
Vol 5 (5) ◽  
pp. eaau6459 ◽  
Author(s):  
B.-B. Fu ◽  
C.-J. Yi ◽  
T.-T. Zhang ◽  
M. Caputo ◽  
J.-Z. Ma ◽  
...  

Topological semimetals are characterized by symmetry-protected band crossings, which can be preserved in different dimensions in momentum space, forming zero-dimensional nodal points, one-dimensional nodal lines, or even two-dimensional nodal surfaces. Materials harboring nodal points and nodal lines have been experimentally verified, whereas experimental evidence of nodal surfaces is still lacking. Here, using angle-resolved photoemission spectroscopy (ARPES), we reveal the coexistence of Dirac nodal surfaces and nodal lines in the bulk electronic structures of ZrSiS. As compared with previous ARPES studies on ZrSiS, we obtained pure bulk states, which enable us to extract unambiguously intrinsic information of the bulk nodal surfaces and nodal lines. Our results show that the nodal lines are the only feature near the Fermi level and constitute the whole Fermi surfaces. We not only prove that the low-energy quasiparticles in ZrSiS are contributed entirely by Dirac fermions but also experimentally realize the nodal surface in topological semimetals.


2019 ◽  
Vol 21 (36) ◽  
pp. 20262-20268 ◽  
Author(s):  
Anh Pham ◽  
Frank Klose ◽  
Sean Li

This study predicts the existence of a symmetry protected nodal line state in Y2C2I2 in both 2D and 3D.


APL Materials ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 101125 ◽  
Author(s):  
Jennifer Cano ◽  
Barry Bradlyn ◽  
M. G. Vergniory

2020 ◽  
Vol 22 (16) ◽  
pp. 8713-8718
Author(s):  
Jun Zhou ◽  
Yuee Xie ◽  
Shengbai Zhang ◽  
Yuanping Chen

Critical topological phases, possessing flat bands, provide a platform to study unique topological properties and transport phenomena under a many-body effect.


2019 ◽  
Vol 7 (40) ◽  
pp. 12657-12663 ◽  
Author(s):  
Tingli He ◽  
Xiaoming Zhang ◽  
Weizhen Meng ◽  
Lei Jin ◽  
Xuefang Dai ◽  
...  

Antiferromagnetic β-Fe2PO5 is a new topological semimetal with coexisting rich fermionic states, and with the potential to be applied in topological antiferromagnetic spintronics.


2019 ◽  
Vol 10 (1) ◽  
Author(s):  
Yihao Yang ◽  
Jian-ping Xia ◽  
Hong-xiang Sun ◽  
Yong Ge ◽  
Ding Jia ◽  
...  

AbstractThree-dimensional (3D) gapless topological phases can be classified by the dimensionality of the band degeneracies, including zero-dimensional (0D) nodal points, one-dimensional (1D) nodal lines, and two-dimensional (2D) nodal surfaces. Both nodal points and nodal lines have been realized recently in photonics and acoustics. However, a nodal surface has never been observed in any classical-wave system. Here, we report on the experimental observation of a twofold symmetry-enforced nodal surface in a 3D chiral acoustic crystal. In particular, the demonstrated nodal surface carries a topological charge of 2, constituting the first realization of a higher-dimensional topologically-charged band degeneracy. Using direct acoustic field measurements, we observe the projected nodal surface and its Fermi-arc-like surface states and demonstrate topologically-induced robustness of the surface states against disorders. This discovery of a higher-dimensional topologically-charged band degeneracy paves the way toward further explorations of the physics and applications of new topological semimetal phases.


2021 ◽  
Vol 7 (1) ◽  
Author(s):  
Xiaoting Zhou ◽  
Chuang-Han Hsu ◽  
Cheng-Yi Huang ◽  
Mikel Iraola ◽  
Juan L. Mañes ◽  
...  

AbstractMost topological insulators (TIs) discovered today in spinful systems can be transformed from topological semimetals (TSMs) with vanishing bulk gap via introducing the spin-orbit coupling (SOC), which manifests the intrinsic links between the gapped topological insulator phases and the gapless TSMs. Recently, we have discovered a family of TSMs in time-reversal invariant spinless systems, which host butterfly-like nodal-lines (NLs) consisting of a pair of identical concentric intersecting coplanar ellipses (CICE). In this Communication, we unveil the intrinsic link between this exotic class of nodal-line semimetals (NLSMs) and a $${{\mathbb{Z}}}_{4}$$ Z 4 = 2 topological crystalline insulator (TCI), by including substantial SOC. We demonstrate that in three space groups (i.e., Pbam (No.55), P4/mbm (No.127), and P42/mbc (No.135)), the TCI supports a fourfold Dirac fermion on the (001) surface protected by two glide symmetries, which originates from the intertwined drumhead surface states of the CICE NLs. The higher order topology is further demonstrated by the emergence of one-dimensional helical hinge states, indicating the discovery of a higher order topological insulator protected by a glide symmetry.


2021 ◽  
pp. 159773
Author(s):  
Qianling Liu ◽  
Ao Li ◽  
Hongxi Hou ◽  
Rui Liu ◽  
Chengkai Fan ◽  
...  

1988 ◽  
Vol 49 (C8) ◽  
pp. C8-25-C8-29 ◽  
Author(s):  
J. C. Fuggle ◽  
J. F. van Acker

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