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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

We present a feasible protocol to mimic topological Weyl semimetal phase in a small one-dimensional circuit-QED lattice. By modulating the photon hopping rates and on-site photon frequencies in parametric spaces, we demonstrate that the…

Quantum Physics · Physics 2016-12-20 Feng Mei , Zheng-Yuan Xue , Dan-Wei Zhang , Lin Tian , Chaohong Lee , Shi-Liang Zhu

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

Topological semimetals are a class of novel three-dimensional (3D) electronic phases that feature topologically protected conical band-touchings at the Fermi level. These band-touching points are monopoles of Berry curvature in momentum…

Mesoscale and Nanoscale Physics · Physics 2022-12-23 J. P. Santos Pires

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

We demonstrate the coexistence of pseudospin- and valley-Hall-like edge states in a photonic crystal with $C_{3v}$ symmetry, which is composed of three interlacing triangular sublattices with the same lattice constants. By tuning the…

Mesoscale and Nanoscale Physics · Physics 2020-11-05 Menglin L. N. Chen , Li Jun Jiang , Zhihao Lan , Wei E. I. Sha

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

In topological semimetals the Dirac points can form zero-dimensional and one-dimensional manifolds, as predicted for Dirac/Weyl semimetals and topological nodal line semimetals, respectively. Here, based on first-principles calculations, we…

In topological semimetals, nodes appear at symmetry points in the Brillouin zone as a result of band inversion, and yield quasi-relativistic massless fermions at low energies. Cd3As2 is a three-dimensional topological semimetal that hosts…

Recent developments in topological semimetals open a way to realize relativistic dispersions in condensed matter systems. One recently studied type of topological feature is the "triple nodal point" where three bands become degenerate. In…

Materials Science · Physics 2018-10-17 Jinwoong Kim , Heung-Sik Kim , David Vanderbilt

Topological semimetals are gapless states of matter which have robust surface states and interesting electromagnetic responses. In this paper, we consider the electromagnetic response of gapless phases in $3+1$-dimensions with line nodes.…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Srinidhi T. Ramamurthy , Taylor L. Hughes

Three-dimensional (3D) topological Weyl semimetals (TWSs) represent a novel state of quantum matter with unusual electronic structures that resemble both a "3D graphene" and a topological insulator by possessing pairs of Weyl points…

Weyl semimetals and higher-order topological insulators represent two fundamental yet distinct classes of topological matter. While both have been extensively studied in classical-wave systems, their coexistence and controllable transition…

Mesoscale and Nanoscale Physics · Physics 2025-08-28 Yu-Hong Han , Yi Li , Feng Mei , Liantuan Xiao , Suotang Jia

Using first--principles density functional calculations, we systematically investigate electronic structures and topological properties of InNbX2 (X=S, Se). In the absence of spin--orbit coupling (SOC), both compounds show nodal lines…

Materials Science · Physics 2018-01-03 Yongping Du , Xiangyan Bo , Di Wang , Er-jun Kan , Chun-Gang Duan , Sergey Y. Savrasov , Xiangang Wan

Weyl semimetal is a new topological state of matter, characterized by the presence of nondegenerate band-touching nodes, separated in momentum space, in its bandstructure. Here we discuss a particular realization of a Weyl semimetal: a…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 A. A. Zyuzin , Si Wu , A. A. Burkov

Nodal-chain fermions, as novel topological states of matter, have been hotly discussed in non-magnetic materials. Here, by using first-principles calculations and symmetry analysis, we propose the realization of fully spin-polarized nodal…

Materials Science · Physics 2020-11-30 Haopeng Zhang , Xiaoming Zhang , Ying Liu , Xuefang Dai , Guang Chen , Guodong Liu

Based on the first-principles study, we report a new set of topological semimetals (TiS, TiSe, TiTe, HfS, HfSe, HfTe and ZrS) which show the co-existence of a nodal-ring and triply-degenerate points. The two-fold degenerate one-dimensional…

Materials Science · Physics 2017-12-05 Mighfar Imam , Ranjan Kumar Barik , Rinkle Juneja , Ravindra Shinde , Abhishek K. Singh

Nodal loop semimetals are close descendants of Weyl semimetals and possess a topologically dressed band structure. We argue by combining the conventional theory of magnetic oscillation with topological arguments that nodal loop semimetals…

Strongly Correlated Electrons · Physics 2018-05-16 László Oroszlány , Balázs Dóra , József Cserti , Alberto Cortijo

Chern insulator is a building block of many topological quantum matters, ranging from quantum spin Hall insulators to fractional Chern insulators. Here, we discuss a new type of insulator, which consists of two half filled ordinary Chern…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Li-Jun Lang , Shao-Liang Zhang , Qi Zhou

The electronic spectra of altermagnets are a fertile ground for nontrivial topology due to the unique interplay between time-reversal and crystalline symmetries. This is reflected in the unconventional Zeeman splitting between bands of…

Mesoscale and Nanoscale Physics · Physics 2025-03-13 Daniil S. Antonenko , Rafael M. Fernandes , Jorn W. F. Venderbos