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The topology in different dimensions has attracted enormous interests, e.g. the Zak phase in 1D systems, the Chern number in 2D systems and the Weyl points or nodal lines in the systems with higher dimensions. It would be fantastic to find…

Optics · Physics 2018-10-31 Qiucui Li , Xunya Jiang

Symmetry-protected topological semimetals are at the focus of solid-state research due to their unconventional properties, for example, regarding transport. By investigating local two-band Bloch Hamiltonians in the spin-1/2 basis for the…

Mesoscale and Nanoscale Physics · Physics 2022-03-22 Andy Knoll , Carsten Timm

In this work, we explore the possible emergence of superconducting phases in a multi-Weyl semimetal. In particular, we show that the presence of a pair of Weyl nodes with chirality $|\nu| \ge 1$ leads to an effective description of the…

Superconductivity · Physics 2026-01-07 Alonso Tapia , Enrique Muñoz

There is a close connection between various new phenomena in Weyl semimetals and the existence of linear band crossings in the single particle description. We show, by a full self-consistent mean-field calculation, how this picture is…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Fei Xue , Xiao-Xiao Zhang

We present a theory of the anomalous Hall effect in a topological Weyl superconductor with broken time reversal symmetry. Specifically, we consider a ferromagnetic Weyl metal with two Weyl nodes of opposite chirality near the Fermi energy.…

Superconductivity · Physics 2016-08-24 G. Bednik , A. A. Zyuzin , A. A. Burkov

We demonstrate that in Weyl semimetals, the momentum-space helical spin texture can couple to the chirality of the Weyl node to generate a frequency-independent magnetization in response to circularly polarized light through the inverse…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 Yang Gao , Chong Wang , Di Xiao

Weyl semimetal, which does not require any symmetry except translation for protection, is a robust gapless state of quantum matters in three dimensions. When translation symmetry is preserved, the only way to destroy a Weyl semimetal state…

Mesoscale and Nanoscale Physics · Physics 2025-11-20 Faruk Abdulla

The recently discovered type-II Weyl points appear at the boundary between electron and hole pockets. Type-II Weyl semimetals that host such points are predicted to exhibit a new type of chiral anomaly and possess thermodynamic properties…

Mesoscale and Nanoscale Physics · Physics 2016-08-10 G. Autès , D. Gresch , M. Troyer , A. A. Soluyanov , O. V. Yazyev

Floquet engineering provides a powerful and flexible method for modifying the band structures of quantum materials. While circularly polarized light has been shown to convert curved nodal lines in three-dimensional semimetals into Weyl…

Materials Science · Physics 2026-02-27 Dongling Liu , Zheng-Yang Zhuang , Zhongbo Yan

The quasi-particle excitations in Weyl semimetals, known as Weyl fermions, are usually forced to emerge in charge-conjugate pairs by the Nielsen--Ninomiya theorem. When the Brillouin zone is non-orientable, this constraint is replaced by a…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Thijs Douwes , Marcus Stålhammar

The occurrence of a topological phase transition can be demonstrated by a direct observation of a change in the topological invariant. For holographic topological semimetals, a topological Hamiltonian method needs to be employed to…

High Energy Physics - Theory · Physics 2025-08-15 Xiantong Chen , Xuanting Ji , Ya-Wen Sun

By utilizing symmetry analysis and electronic structure calculations, we investigated the low-temperature orthorhombic phase of Ag$_{2}$Se in ${\cal SG}$~17. In addition to the discovery of a nodal plane at $k_{z}=\pi$ protected by the…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Wujun Shi , Gang Li

We study the transport properties and superconducting proximity effect in NSN junctions formed by a time-reversal symmetry broken Weyl semimetal (WSM) in proximity to an $s$-wave superconductor. We find that the differential conductance and…

Superconductivity · Physics 2019-07-02 Daniel Breunig , Song-Bo Zhang , Martin Stehno , Björn Trauzettel

Anomaly cancelation has been shown to occur in time-reversal symmetry-broken Weyl metals, which explains the existence of a Fermi arc. We extend this result in the case of inversion symmetry-broken Weyl metals. Constructing a minimal model…

Strongly Correlated Electrons · Physics 2018-04-18 Iksu Jang , Ki-Seok Kim

Even if Weyl semimetals are characterized by quasiparticles with well-defined chirality, exploiting this experimentally is severely hampered by Weyl lattice-fermions coming in pairs with opposite chirality, typically causing the net…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Rajyavardhan Ray , Banasree Sadhukhan , Manuel Richter , Jorge I. Facio , Jeroen van den Brink

We propose a one-parameter family of noninteracting lattice models for Weyl semimetals with 4 Weyl nodes and tunable Fermi arcs. These 2-band model Hamiltonians are time-reversal symmetric with $\mathrm{T}^2 = + 1$, and tuning the parameter…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Vatsal Dwivedi , Srinidhi T Ramamurthy

Weyl quasiparticles, as gapless low-energy excitations with nontrivial chirality, have garnered extensive interest in recent years. However, archieving effective and reversible control over their chirality (topological charge) remains a…

Materials Science · Physics 2025-11-19 Zeling Li , Yu liu , Le Du , Fengyu Li , Zhifeng Liu , Lei Li , Lei Wang , Botao Fu , Xiao-Ping Li

Weyl points in three spatial dimensions are characterized by a $\mathbb{Z}$-valued charge -- the Chern number -- which makes them stable against a wide range of perturbations. A set of Weyl points can mutually annihilate only if their net…

Mesoscale and Nanoscale Physics · Physics 2017-10-06 Tomáš Bzdušek , Manfred Sigrist

Topological semimetals can be classified by the connectivity and dimensionality of the band cross- ing in momentum space. The band crossings of a Dirac, Weyl, or an unconventional fermion semimet- al are 0D points, whereas the band…

Weyl fermions1 do not appear in nature as elementary particles, but they are now found to exist as nodal points in the band structure of electronic and classical wave crystals. Novel phenomena such as Fermi arcs and chiral anomaly have…

Optics · Physics 2016-10-17 Qiang Wang , Meng Xiao , Hui Liu , Xiangang Wan , Shining Zhu , C. T. Chan