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The topological nodal-line semimetal state, serving as a fertile ground for various topological quantum phases, where a topological insulator, Dirac semimetal, or Weyl semimetal can be realized when the certain protecting symmetry is…

Among the quantum materials that gained interest recently are the topological Dirac/Weyl semimetals, where conduction and valence bands touch at points in reciprocal (k)-space, and the Dirac nodal-line semimetals, where these bands touch…

Topological phases of matter have sparked an immense amount of activity in recent decades. Topological materials are classified by topological invariants that act as a non-local order parameter for any symmetry and condition. As a result,…

Materials Science · Physics 2020-12-08 Oded Zilberberg

It is generally believed that there is a correspondence between the topological charge of nodal points or lines and the presence of Fermi arcs. Using a $\mathcal{P}\mathcal{T}$-invariant system as an example, we demonstrate that this…

Mesoscale and Nanoscale Physics · Physics 2025-04-25 Xue-Min Yang , Jiang-Shan Chen , Ying Chen , Yu-Hang Qin , Hong Wu

Topological nodal line (DNL) semimetals, formed by a closed loop of the inverted bands in the bulk, result in the nearly flat drumhead-like surface states with a high electronic density near the Fermi level. The high catalytic active sites…

Materials Science · Physics 2018-02-28 Jiangxu Li , Hui Ma , Shaobo Feng , Sami Ullah , Ronghan Li , Junhua Dong , Dianzhong Li , Yiyi Li , Xing-Qiu Chen

Node line (NL) band-touchings protected by mirror symmetry (named as $m$-NL), the product of inversion and time reversal symmetry $\mathcal{S=PT}$ ($s$-NL), or nonsymmorphic symmetry are nontrivial topological objects of topological…

Materials Science · Physics 2018-07-18 Jinling Lian , Lixian Yu , Qi-Feng Liang , Jian Zhou , Rui Yu , Hongming Weng

Topological materials host fascinating low dimensional gapless states at the boundary. As a prominent example, helical topological edge states (TESs) of two-dimensional topological insulators (2DTIs) and their stacked three-dimensional (3D)…

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

Recent advances in delicate topology have expanded the classification of topological bands, but its presence in solid-state materials remains elusive. Here we show that delicate topology naturally emerges in the Luttinger-Kohn model that…

Mesoscale and Nanoscale Physics · Physics 2023-08-14 Penghao Zhu , Rui-Xing Zhang

Young and Kane have given a great insight for 2D Dirac semimetals with nontrivial topology in the presence of nonsymmorphic crystalline symmetry. Based on one of 2D nonsymmorphic square lattice structures they proposed, we further construct…

Materials Science · Physics 2019-05-22 Pok-Man Chiu , Cheng-Yi Huang , Wan-Ju Li , Ting-Kuo Lee

We study a new class of non-Hermitian topological phases in three dimension in the absence of any symmetry, where the topological robust band degeneracies are Hopf-link exceptional lines. As a concrete example, we investigate the…

Mesoscale and Nanoscale Physics · Physics 2019-12-17 Zhesen Yang , Jiangping Hu

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

Dirac semimetals host bulk band-touching Dirac points and a surface Fermi loop. We develop a theory of superconducting Dirac semimetals. Establishing a relation between the Dirac points and the surface Fermi loop, we clarify how the…

Superconductivity · Physics 2015-11-03 Shingo Kobayashi , Masatoshi Sato

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

Topologically protected fermionic quasiparticles appear in metals, where band degeneracies occur at the Fermi level, dictated by the band structure topology. While in some metals these quasiparticles are direct analogues of elementary…

Mesoscale and Nanoscale Physics · Physics 2016-07-11 Ziming Zhu , Georg W. Winkler , QuanSheng Wu , Ju Li , Alexey A. Soluyanov

It has recently been established that two-dimensional massless graphene-like systems and three-dimensional line-node topological semimetals comprise a special class of centrosymmetric materials where edge/surface states of topological…

Materials Science · Physics 2016-11-15 Ivan I. Naumov , Russell J. Hemley

Materials with tunable topological features, simple crystal structure and flexible synthesis, are in extraordinary demand towards technological exploitation of unique properties of topological nodal points. The controlled design of the…

Materials Science · Physics 2020-10-14 Ali Ebrahimian , Reza Asgari , Mehrdad Dadsetani

Nodal-line semimetals are topological semimetals in which band touchings form nodal lines or rings. Around a loop that encloses a nodal line, an electron can accumulate a nontrivial $\pi$ Berry phase, so the phase shift in the Shubnikov-de…

Mesoscale and Nanoscale Physics · Physics 2018-04-10 Cequn Li , C. M. Wang , Bo Wan , Xiangang Wan , Hai-Zhou Lu , X. C. Xie

We study the topological properties of magnon excitations in a wide class of three dimensional (3D) honeycomb lattices with ferromagnetic ground states. It is found that they host nodal ring magnon excitations. These rings locate on the…

Mesoscale and Nanoscale Physics · Physics 2017-07-12 Kangkang Li , Jiangping Hu

The exploration of quantum phases in moir\'e systems has drawn intense experimental and theoretical efforts. The realization of honeycomb symmetry has been a recent focus. The combination of strong interaction and honeycomb symmetry can…

Strongly Correlated Electrons · Physics 2024-12-25 Yubo Yang , Miguel A. Morales , Shiwei Zhang
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