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In electronic topological Dirac semimetals the conduction and valence bands touch at discrete points in the Brillouin zone and form Dirac cones. They are robust against spin-orbit interaction (SOI) and protected by crystal symmetries. They…

Strongly Correlated Electrons · Physics 2017-09-27 S. A. Owerre

Two-dimensional (2D) band crossing semimetals (BCSMs) could be used to build a range of novel nanoscale devices such as superlenses and transistors. We find that symmorphic symmetry can protect a new type of robust 2D BCSMs, unlike the…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Wei Luo , Junyi Ji , Jinlian Lu , Xiuwen Zhang , Hongjun Xiang

Three-dimensional (3D) Weyl and Dirac semimetals garner considerable attention in condensed matter physics due to the exploration of entirely new topological phases and related unconventional surface states. Nodal line and ring semimetals…

Materials Science · Physics 2019-06-17 Aurelien Merkel , Johan Christensen

Topological semimetals (TSMs) featuring symmetry-protected band degeneracies have attracted considerable attention due to their exotic quantum properties and potential applications. While nodal line (NL) and nodal surface (NS) semimetals…

Materials Science · Physics 2025-11-12 Xiao-jing Gao , Yanfeng Ge , Yan Gao

Recently, it was pointed out that all chiral crystals with spin-orbit coupling (SOC) can be Kramers Weyl semimetals (KWSs) which possess Weyl points pinned at time-reversal invariant momenta. In this work, we show that all achiral…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 Ying-Ming Xie , Xue-Jian Gao , Xiao Yan Xu , Cheng-Ping Zhang , Jin-Xin Hu , Jason Z. Gao , K. T. Law

While the topological classification of insulators, semimetals, and superconductors in terms of nonspatial symmetries is well understood, less is known about topological states protected by crystalline symmetries, such as mirror reflections…

Mesoscale and Nanoscale Physics · Physics 2014-12-01 Ching-Kai Chiu , Andreas P. Schnyder

In two-dimensional materials electronic band contacts often give non-trivial contribution to materials topological properties. Besides band contacts at high-symmetry points (HSP) in the Brillouin zone (BZ), like those in graphene, there are…

Materials Science · Physics 2023-05-01 Vladimir Damljanovic

Using evolutionary algorithm and first-principles calculations, we predict a family group of two-dimensional node-line semimetals MX (M=Pd, Pt; X=S, Se, Te), which has zig-zag type mono-layer structure in Pmm2 layer group. Band structure…

Mesoscale and Nanoscale Physics · Physics 2017-09-20 Yuanjun Jin , Rui Wang , Jinzhu Zhao , Candi Zheng , Li-Yong. Gan , Junfeng Liu , Hu Xu , S. Y. Tong

Topological phases can not only be protected by internal symmetries (e.g., time-reversal symmetry), but also by crystalline symmetries, such as reflection or rotation symmetry. Recently a complete topological classification of reflection…

Mesoscale and Nanoscale Physics · Physics 2015-05-26 Ching-Kai Chiu , Andreas P. Schnyder

A spin-U(1)-symmetry protected momentum-dependent integer-$Z$-valued topological invariant is proposed to time-reversal-invariant (TRI) superconductivity (SC) whose nonzero value will lead to exactly flat surface band(s). The theory is…

Superconductivity · Physics 2020-07-20 Cheng-Cheng Liu , Chen Lu , Li-Da Zhang , Xianxin Wu , Chen Fang , Fan Yang

We investigate two-dimensional trilayered quantum systems with multi-orbital conduction bands by focusing on the role played by the layer degree of freedom in setting the character of nodal line semimetals. The layer index can label the…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 F. Forte , D. Guerra , C. Noce , W. Brzezicki , M. Cuoco

Several intriguing electronic phenomena and electric properties were discovered in three-dimensional Dirac nodal line semimetals (3D-DNLSM), which are, however, easy to be perturbed under strong spin-orbit coupling (SOC). While…

Mesoscale and Nanoscale Physics · Physics 2022-10-18 Deping Guo , Pengjie Guo , Shiliang Tan , Min Feng , Limin Cao , Zhengxin Liu , Kai Liu , Zhong-Yi Lu , Wei Ji

Spin-gapless semimetals (SGSMs), which generate 100\% spin polarization, are viewed as promising semi-half-metals in spintronics with high speed and low consumption. We propose and characterize a new $\mathbb{Z_{\mathrm{2}}}$ class of…

Materials Science · Physics 2020-01-14 Run-Wu Zhang , Zeying Zhang , Cheng-Cheng Liu , Yugui Yao

We study topological properties of materials in the Ca$_2$As family without spin-orbit coupling (SOC) by combining the first-principles calculation and a tight-binding model calculation. As a result of the calculation, we reveal that the…

Mesoscale and Nanoscale Physics · Physics 2020-11-24 Ikuma Tateishi

We introduce a new type of topological magnon matter: the magnonic pendant to electronic nodal-line semimetals. Magnon spectra of anisotropic pyrochlore ferromagnets feature twofold degeneracies of magnon bands along a closed loop in…

Computational Physics · Physics 2017-01-25 Alexander Mook , Jürgen Henk , Ingrid Mertig

Nodal loops in two-dimensional (2D) systems are typically vulnerable against spin-orbit coupling (SOC). Here, we explore 2D systems with a type of doubly degenerate nodal loops that are robust under SOC and feature an hourglass type…

Materials Science · Physics 2019-05-21 Weikang Wu , Yalong Jiao , Si Li , Xian-Lei Sheng , Zhi-Ming Yu , Shengyuan A. Yang

Nodal line semimetals are characterized by symmetry-protected band crossing lines and are expected to exhibit nontrivial electronic properties. Connections of the multiple nodal lines, resulting in nodal nets, chains, or links, are…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Ding-Fu Shao , Shu-Hui Zhang , Xiaoqian Dang , Evgeny Y. Tsymbal

We propose and characterize a new $\mathbb{Z}_2$ class of topological semimetals with a vanishing spin--orbit interaction. The proposed topological semimetals are characterized by the presence of bulk one-dimensional (1D) Dirac Line Nodes…

Materials Science · Physics 2015-12-03 Youngkuk Kim , Benjamin J. Wieder , C. L. Kane , Andrew M. Rappe

Using both an effective three-band model and {\it ab initio} calculations, we have investigated various topological features in the cubic ferromagnetic $5d^{1,2}$ systems showing large spin-orbit coupling (SOC): Ba$_2$NaOsO$_6$,…

Materials Science · Physics 2020-07-29 Young-Joon Song , K. -W. Lee

Nodal-sphere semimetals (NSSMs), featuring spherical band degeneracies in momentum space, constitute a fascinating class of topological materials. However, their realization in real materials is severely hampered by discrete…

Materials Science · Physics 2025-10-22 Xiao-jing Gao , Yanfeng Ge , Yan Gao