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A well-established result in condensed matter physics states that materials crystallizing in symmetry groups containing glide reflection symmetries possess nodal lines on the energy bands. These nodal lines are topologically protected and…

Materials Science · Physics 2021-12-08 Rafael González-Hernández , Erick Tuirán , Bernardo Uribe

The band theory of solids is arguably the most successful theory of condensed matter physics, providing the description of the electronic energy levels in a variety of materials. Electronic wavefunctions obtained from the band theory allow…

Mesoscale and Nanoscale Physics · Physics 2017-06-14 Tomáš Bzdušek , QuanSheng Wu , Andreas Rüegg , Manfred Sigrist , Alexey A. Soluyanov

Topological nodal-line semimetals (NLSMs) are a new family of topological materials characterized by electronic band crossings that form lines in the Brillouin zone. These NLSMs host exotic nodal-line structures and exhibit distinct…

Strongly Correlated Electrons · Physics 2025-10-30 Po-Yao Chang

We have performed angle-resolved photoemission spectroscopy of layered ternary telluride Ta3SiTe6 which is predicted to host nodal lines associated with nonsymmorphic crystal symmetry. We found that the energy bands in the valence-band…

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

We classify the band degeneracies in 3D crystals with screw symmetry $n_m$ and broken $\mathcal P*\mathcal T$ symmetry, where $\mathcal P$ stands for spatial inversion and $\mathcal T$ for time reversal. The generic degeneracies along…

Materials Science · Physics 2017-07-27 Stepan S. Tsirkin , Ivo Souza , David Vanderbilt

We investigate the interaction-driven instability of a quadratic band crossing arising for ultracold bosonic atoms loaded into a two-dimensional optical lattice. We consider the case when the degenerate point becomes a local minimum of both…

Quantum Gases · Physics 2018-11-21 Guang-Quan Luo , Andreas Hemmerich , Zhi-Fang Xu

We consider the stability of nodal surfaces in fermionic band systems with respect to the Coulomb repulsion. It is shown that nodal surfaces at the Fermi level are gapped out at low temperatures due to emergent particle-hole orders. Energy…

Mesoscale and Nanoscale Physics · Physics 2018-12-19 Pavel A. Volkov , Sergej Moroz

Topological semimetals have energy bands near the Fermi energy sticking together at isolated points/lines/planes in the momentum space, which are often accompanied by stable surface states and intriguing bulk topological responses. Although…

Materials Science · Physics 2017-03-01 Bohm-Jung Yang , Troels Arnfred Bojesen , Takahiro Morimoto , Akira Furusaki

We consider three-dimensional fermionic band theories that exhibit Weyl nodal surfaces defined as two-band degeneracies that form closed surfaces in the Brillouin zone. We demonstrate that topology ensures robustness of these objects under…

Mesoscale and Nanoscale Physics · Physics 2018-03-01 Oğuz Türker , Sergej Moroz

It was recently demonstrated that the connectivities of bands emerging from zero frequency in dielectric photonic crystals are distinct from their electronic counterparts with the same space groups. We discover that, in an AB-layer-stacked…

Optics · Physics 2020-10-27 Zhongfei Xiong , Ruo-Yang Zhang , Rui Yu , C. T. Chan , Yuntian Chen

Based on first-principles calculations and effective model analysis, all possible straight nodal-line phonons in symmorphic space groups are uncovered. A classification of two-band ${\textbf{k}}\cdot {\textbf{p}}$ models at an arbitrary…

Materials Science · Physics 2021-07-28 Guang Liu , Yuanjun Jin , Zhongjia Chen , Hu Xu

We classify line nodes in superconductors with strong spin-orbit interactions and time-reversal symmetry, where the latter may include non-primitive translations in the magnetic Brillouin zone to account for coexistence with…

Superconductivity · Physics 2017-05-24 T. Micklitz , M. R. Norman

We study a class of topological materials which in their momentum-space band structure exhibit three-fold degeneracies known as triple points. Focusing specifically on $\mathcal{P}\mathcal{T}$-symmetric crystalline solids with negligible…

Mesoscale and Nanoscale Physics · Physics 2022-02-28 Patrick M. Lenggenhager , Xiaoxiong Liu , Stepan S. Tsirkin , Titus Neupert , Tomáš Bzdušek

Crystalline semimetals with certain space group symmetries may possess unusual electronic structure topology, distinct from the conventional Weyl and Dirac semimetals. Characteristic property of these materials is the existence of…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 D. A. Pshenay-Severin , Yu. V. Ivanov , A. A. Burkov , A. T. Burkov

Topological semimetals with symmetry-protected band crossings have emerged as a rich landscape to explore intriguing electronic phenomena. Nonsymmorphic symmetries in particular have been shown to play an important role in protecting the…

We theoretically study three-dimensional topological semimetals (TSMs) with nodal lines protected by crystalline symmetries. Compared with TSMs with point nodes, e.g., Weyl semimetals and Dirac semimetals, where the conduction and the…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Chen Fang , Yige Chen , Hae-Young Kee , Liang Fu

We study the occurrence of symmetry-enforced topological band crossings in tetragonal crystals with strong spin-orbit coupling. By computing the momentum dependence of the symmetry eigenvalues and the global band topology in the entire…

A Dirac nodal-line phase, as a quantum state of topological materials, usually occur in three-dimensional or at least two-dimensional materials with sufficient symmetry operations that could protect the Dirac band crossings. Here, we report…

Topological nodal line semimetals are characterized by the crossing of the conduction and valence bands along one or more closed loops in the Brillouin zone. Usually, these loops are either isolated or touch each other at some highly…

Strongly Correlated Electrons · Physics 2017-07-12 Wei Chen , Hai-Zhou Lu , Jing-Min Hou