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The combination of non-trivial topology and superconductivity opens to novel quantum devices. The discovery of intrinsic materials where such properties appear together represents a frontier in modern condensed matter physics. Trigonal…

Weyl fermions are massless chiral quasiparticles existing in materials known as Weyl semimetals. Topological surface states, associated with the unusual electronic structure in the Weyl semimetals, have been recently demonstrated in linear…

Optics · Physics 2018-04-18 Ce Shang , Yuanlin Zheng , Boris A. Malomed

We extend the topological classification scheme of Weyl semimetals via cohomology and the Mayer-Vietoris sequence to account for nodal line semimetals with space-time inversion symmetry. These are semimetals where bands meet generally in…

Mathematical Physics · Physics 2023-12-05 Joshua Celeste

Weyl semimetal is a topologically non-trivial phase of matter with pairs of Weyl nodes in the k-space, which act as monopole and anti-monopole pairs of Berry curvature. Two hallmarks of the Weyl metallic state are the topological surface…

We theoretically address the effects of strong magnetic fields in three-dimensional Weyl semimetals (WSMs) built out of Weyl nodes with a monopole charge $n$. For $n=1$, $2$, and $3$ we realize single, double, and triple WSM, respectively,…

Materials Science · Physics 2016-11-29 Xiao Li , Bitan Roy , S. Das Sarma

In recent years, transition metal dichalcogenides (TMDs) have garnered great interest as topological materials -- monolayers of centrosymmetric $\beta$-phase TMDs have been identified as 2D topological insulators (TIs), and bulk crystals of…

Materials Science · Physics 2019-10-31 Zhijun Wang , Benjamin J. Wieder , Jian Li , Binghai Yan , B. Andrei Bernevig

Two-dimensional pentagonal structures based on the Cairo tiling are the basis of a family of layered materials with appealing physical properties. In this work we present a theoretical study of the symmetry-based electronic and optical…

Materials Science · Physics 2023-05-09 Sergio Bravo , M. Pacheco , V. Nunez , J. D. Correa , Leonor Chico

Weyl semimetals are arguably the most paradigmatic form of a gapless topological phase. While the stability of Weyl nodes, as quantified by their topological charge, has been extensively investigated, recent interest has shifted to the…

Mesoscale and Nanoscale Physics · Physics 2026-01-21 Siyu Chen , Adrien Bouhon , Robert-Jan Slager , Bartomeu Monserrat

Using topological band theory analysis we show that the nonsymmorphic symmetry operations in hexagonal lattices enforce Weyl points at the screw-invariant high-symmetry lines of the band structure. The corepresentation theory and…

Materials Science · Physics 2021-01-15 Rafael González-Hernández , Erick Tuiran , Bernardo Uribe

Topological states of matter have been a subject of intensive studies in recent years because of their exotic properties such as the topologically protected edge and surface states. The initial studies were exclusively for electron systems.…

Mesoscale and Nanoscale Physics · Physics 2017-06-07 Ying Su , X. S. Wang , X. R. Wang

Given the importance of crystal symmetry for the emergence of topological quantum states, we have studied, as exemplified in NbNiTe2, the interplay of crystal symmetry, atomic displacements (lattice vibration), band degeneracy, and band…

Materials Science · Physics 2017-04-27 Lin-Lin Wang , Na Hyun Jo , Yun Wu , QuanSheng Wu , Adam Kaminski , Paul C. Canfield , Duane D. Johnson

Weyl semimetals are 3D phases of matter with topologically protected states that have remarkable macroscopic transport behaviors. As phonon dynamics and electron-phonon scattering play a critical role in the electrical and thermal…

We show that the current thermodynamic measurements in the superconducting phase of $\mathrm{U}\mathrm{Ru}_2\mathrm{Si}_2$ are compatible with two distinct singlet chiral paired states $k_z(k_x \pm i k_y)$ and $(k_x \pm i k_y)^2$. Despite…

Superconductivity · Physics 2013-12-13 Pallab Goswami , Luis Balicas

Nodal lines are symmetry-protected one-dimensional band degeneracies in momentum space, which can appear in numerous topological configurations such as nodal rings, chains, links, and knots. Very recently, non-Abelian topological physics…

Mesoscale and Nanoscale Physics · Physics 2022-06-29 Mudi Wang , Shan Liu , Qiyun Ma , Ruo-Yang Zhang , Dongyang Wang , Qinghua Guo , Biao Yang , Manzhu Ke , Zhengyou Liu , C. T. Chan

In time-reversal symmetry-broken Weyl semimetals, Weyl points act as monopoles and antimonopoles of the Berry curvature, with a monopole-antimonopole pair producing a net zero Berry flux. The two-dimensional (2D) planes that separate a…

Mesoscale and Nanoscale Physics · Physics 2024-03-29 Alexander C. Tyner , Shouvik Sur

Metamaterials, artificially engineered materials consisting of subwavelength unit cell, have shown potentials in light manipulation with their extraordinary optical properties. Especially, topological metamaterials possessing topologically…

Phonons have provided an ideal platform for a variety of intriguing physical states, such as non-Abelian braiding and the Haldane model. It is promising that phonons will realize the complicated nodal states accompanying unusual quantum…

Materials Science · Physics 2023-09-27 Wen-Han Dong , Jinbo Pan , Jia-Tao Sun , Shixuan Du

The discovery of topological quantum states in two-dimensional (2D) systems is one of the most promising advancements in condensed matter physics. Linear Weyl point (LWP) phonons have been theoretically investigated in some 2D materials.…

Materials Science · Physics 2023-02-03 Mingmin Zhong , Haibo Liu , Jianhua Wang , Chengwu Xie , Hongkuan Yuan , Zeying Zhang , Xiaotian Wang , Gang Zhang

The experimental manifestation of topological effects in bulk materials under ambient conditions, especially those with practical applications, has attracted enormous research interest. Recent discovery of Weyl semimetal provides an ideal…

Materials Science · Physics 2019-03-25 Junchao Ma , Qiangqiang Gu , Yinan Liu , Jiawei Lai , Yu Peng , Xiao Zhuo , Zheng Liu , Jian-Hao Chen , Ji Feng , Dong Sun

The Weyl semimetal trigonal PtBi$_2$ has recently been identified as a promising candidate material for intrinsic topological surface superconductivity emerging from the Fermi arc states of the material with a sizeable superconducting gap.…