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In recent years, non-Hermitian (NH) topological semimetals have garnered significant attention due to their unconventional properties. In this work, we explore the transport properties of a three-dimensional dissipative Weyl semi-metal…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Soumi Dey , Ayan Banerjee , Debashree Chowdhury , Awadhesh Narayan

Topological mechanical structures exhibit robust properties protected by topological invariants. In this letter, we study a family of deformed square lattices that display topologically protected zero-energy bulk modes analogous to the…

Mesoscale and Nanoscale Physics · Physics 2016-04-06 D. Zeb Rocklin , Bryan Gin-ge Chen , Martin Falk , Vincenzo Vitelli , T. C. Lubensky

To effectively regulate thermal transport for the near-junction thermal management of GaN electronics, it is imperative to gain an understanding of the phonon characteristics of GaN nanostructures, particularly the topological phonon…

Materials Science · Physics 2023-07-21 Daosheng Tang , Limin Zhang

We present a method of constructing discrete integrable systems with crystallographic reflection group (Weyl) symmetries, thus clarifying the relationship between different discrete integrable systems in terms of their symmetry groups.…

Exactly Solvable and Integrable Systems · Physics 2016-05-05 Nalini Joshi , Nobutaka Nakazono , Yang Shi

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

Chiral anomaly is a key feature of Lorentz-invariant quantum field theories: in presence of parallel external electric and magnetic fields, the number of massless Weyl fermions of a given chirality is not conserved. In condensed matter,…

Strongly Correlated Electrons · Physics 2026-02-20 Shantonu Mukherjee , Sayantan Sharma , Hridis K. Pal

The Weyl semimetal NbP was found to exhibit topological Fermi arcs and exotic magneto-transport properties. Here, we report on magnetic quantum-oscillation measurements on NbP and construct the 3D Fermi surface with the help of…

Weyl points are point degeneracies that occur in momentum space of periodic materials, and are associated with a quantized topological charge. We experimentally observe in a 3D micro-printed photonic crystal that a charge-2 Weyl point can…

We investigate the topological protection of surface states in Weyl and nodal-line semimetals by characterizing them as evanescent states when the band structure is extended to complex momenta. We find in this way a sequence of exceptional…

Mesoscale and Nanoscale Physics · Physics 2017-08-09 J. Gonzalez , R. A. Molina

Weyl points are the degenerate points in three-dimensional momentum space with nontrivial topological phase, which are usually realized in classical system with structure and symmetry designs. Here we proposed a one-dimensional…

Optics · Physics 2021-12-01 Ying Chen , Hai-xiao Wang , Qiaoliang Bao , Jian-Hua Jiang , Huanyang Chen

We consider a compact smooth manifold $X$ of dimension $n+1$ with boundary $M=\partial X$. In a collar neighborhood of $M$, we assume that the metric has the form $g=u^{-\alpha}\bar g$, where $u$ is a boundary defining function, $\alpha\in…

Spectral Theory · Mathematics 2026-05-25 Yves Colin de Verdière , Charlotte Dietze , Emmanuel Trélat

We show that a heavy fermion superconductor UPt_3 is a topological Weyl superconductor with tunable Weyl nodes. Adopting a generic order parameter in the E_2u representation allowed by nonsymmorphic crystal symmetry, we clarify unusual gap…

Superconductivity · Physics 2016-11-23 Youichi Yanase

The CoSi-family of materials (CoSi, CoGe, RhSi and RhGe) forms a cubic chiral structure and hosts unconventional multifold chiral fermions, such as spin-1 and spin-3/2 fermions, leading to intriguing phenomena like long Fermi arc surface…

Materials Science · Physics 2025-10-13 P. V. Sreenivasa Reddy , Guang-Yu Guo

This work reports the general design and characterization of two exotic, anomalous nonequilibrium topological phases. In equilibrium systems, the Weyl nodes or the crossing points of nodal lines may become the transition points between…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Weiwei Zhu , Muhammad Umer , Jiangbin Gong

Motivated by experiments, we performed a systematic study on the one dimensional zone center phonons in $O_{h}$ space groups. All the one dimensional phonon modes for different Wyckoff positions are tabulated. We show that at least four…

Materials Science · Physics 2014-03-05 Jian Li , Jiufeng J. Tu , Joseph L. Birman

Compared with Hermitian theory, non-Hermitian physics offers a fundamentally different mathematical framework, enabling the observation of topological phenomena that have no analogue in Hermitian systems. Among these, the exceptional point…

Quantum Physics · Physics 2025-09-24 Zhong-Sheng Chen , Wei-Xin Chen , Fan Wu , Zhong-Wei Xu , Jing Ma , Yun-Kun Jiang , Huai-Zhi Wu , Shi-Biao Zheng

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

Type-II Weyl semimetals are a novel gapless topological phase of matter discovered recently in 2015. Similar to normal (type-I) Weyl semimetals, type-II Weyl semimetals consist of isolated band touching points. However, unlike type-I Weyl…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Raditya Weda Bomantara , Jiangbin Gong

This paper establishes two things in an asymptotically (anti-)de Sitter spacetime, by direct computations in the physical spacetime (i.e. with no involvement of spacetime compactification): (1) The peeling property of the Weyl spinor is…

General Relativity and Quantum Cosmology · Physics 2020-04-30 Vee-Liem Saw , Freeman Chee Siong Thun

We investigate novel topological magnon band crossings of pyrochlore antiferromagnets with all-in-all-out (AIAO) magnetic order. By general symmetry analysis and spin-wave theory, we show that pyrochlore materials with AIAO orders can host…

Strongly Correlated Electrons · Physics 2018-04-03 Shao-Kai Jian , Wenxing Nie