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This paper presents three aspects by which the Weyl geometric generalization of Riemannian geometry, and of Einstein gravity, sheds light on actual questions of physics and its philosophical reflection. After introducing the theory's…

General Relativity and Quantum Cosmology · Physics 2015-07-28 Erhard Scholz

Weyl semimetals in three-dimensional crystals provide the paradigm example of topologically protected band nodes. It is usually taken for granted that a pair of colliding Weyl points annihilate whenever they carry opposite chiral charge. In…

Mesoscale and Nanoscale Physics · Physics 2021-03-09 Adrien Bouhon , QuanSheng Wu , Robert-Jan Slager , Hongming Weng , Oleg V. Yazyev , Tomáš Bzdušek

Weyl semimetals possess low energy excitations which act as monopoles of Berry curvature in momentum space. These emergent monopoles are at the heart of the extensive novel transport properties that Weyl semimetals exhibit. The singular…

Mesoscale and Nanoscale Physics · Physics 2017-12-20 Timothy M. McCormick , Robert C. McKay , Nandini Trivedi

We experimentally compare two types of interface structures with magnetic and non-magnetic Weyl semimetals. They are the junctions between a gold normal layer and magnetic Weyl semimetal Ti$_2$MnAl, and a ferromagnetic nickel layer and…

Mesoscale and Nanoscale Physics · Physics 2020-04-28 V. D. Esin , D. N. Borisenko , N. N. Kolesnikov , E. V. Deviatov

A class of globally scale-invariant scalar-tensor theories have been proposed to be invariant under a larger class of transformations that take the form of local Weyl transformations supplemented by a restriction that the conformal factor…

High Energy Physics - Theory · Physics 2024-12-16 Dražen Glavan , Ruggero Noris , Tom Zlosnik

In this work, we investigate the emergence of Weyl points in an inversion symmetry-breaking 1T-NiTe$_2$ system. Through first-principles calculations based on the density functional theory combined with tight-binding methods, we find three…

Materials Science · Physics 2026-03-19 Marcos G. O. Junior , Augusto L. Araújo , Emmanuel V. C. Lopes , Tome M. Schmidt

Superdiffusion is an anomalous transport behavior. Recently, a new mechanism, termed the ``nodal mechanism," has been proposed to induce superdiffusion in quantum models. However, existing realizations of the nodal mechanism have so far…

Mesoscale and Nanoscale Physics · Physics 2025-11-14 Shaofeng Huang , Yu-Peng Wang , Jie Ren , Chen Fang

Double Weyl nodes are topologically protected band crossing points which carry chiral charge $\pm2$. They are stabilized by $C_{4}$ point group symmetry and are predicted to occur in $\mathrm{SrSi_{2}}$ or $\mathrm{HgCr_{2}Se_{4}}$. We…

Mesoscale and Nanoscale Physics · Physics 2017-03-02 Björn Sbierski , Maximilian Trescher , Emil J. Bergholtz , Piet W. Brouwer

Topological protection is an attractive signature in both fundamental and applied researches because it provides an exotic and robust state. Multi-terminal Josephson junctions have recently been studied extensively owing to the emergence of…

Mesoscale and Nanoscale Physics · Physics 2025-10-08 Kento Takemura , Tomohiro Yokoyama

The interplay between topology and electronic correlation effects offers a rich avenue for discovering emergent quantum phenomena in condensed matter systems. In this work, starting from the Weyl-Hubbard model, we investigate the quantum…

Strongly Correlated Electrons · Physics 2024-02-16 Snehasish Nandy , Christopher Lane , Jian-Xin Zhu

The Weyl semimetal phase is a recently discovered topological quantum state of matter characterized by the presence of topologically protected degeneracies near the Fermi level. These degeneracies are the source of exotic phenomena,…

Topological phases of matter exhibit phase transitions between distinct topological classes. These phase transitions are exotic in that they do not fall within the traditional Ginzburg-Landau paradigm but are instead associated with changes…

Topological effects manifest in a wide range of physical systems, such as solid crystals, acoustic waves, photonic materials and cold atoms. These effects are characterized by `topological invariants' which are typically integer-valued, and…

Optics · Physics 2024-03-12 Sashank Kaushik Sridhar , Sayan Ghosh , Avik Dutt

In quantum mechanics, a particle is best described by the wave packet instead of the plane wave. Here, we study the wave-packet scattering problem in Weyl semimetals with the low-energy Weyl fermions of different chiralities. Our results…

Mesoscale and Nanoscale Physics · Physics 2016-06-08 Qing-Dong Jiang , Hua Jiang , Haiwen Liu , Qing-Feng Sun , X. C. Xie

In this paper we address the question as to what extent the quantum-mechanical nature of the process is relevant for teleportation of A spin-1/2 state. For this purpose we analyze the possibility of underpinning teleportation with a…

Quantum Physics · Physics 2008-01-21 Amir Kalev , Sergio Rivera , Pier A. Mello

The quasiparticle spectra of interacting Weyl and nodal-line semimetals on a cubic lattice are studied using the cluster perturbation theory. By tracking the spectral functions under interaction, we find that the Weyl points will move to…

Strongly Correlated Electrons · Physics 2019-03-19 Jing Kang , Jianfei Zou , Kai Li , Shun-Li Yu , Lu-Bing Shao

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

Weyl points (WPs), as nodal degenerate points in three-dimensional (3D) momentum space, are ideal if they are symmetry-related, well-separated, residing at the same energy and far from the nontopological bands. Although type-II WPs show…

Mesoscale and Nanoscale Physics · Physics 2020-09-04 Rujiang Li , Bo Lv , Huibin Tao , Jinhui Shi , Yidong Chong , Baile Zhang , Hongsheng Chen

We consider effects of spatial dispersion in noncentrosymmetric time-reversal invariant Weyl metals in the presence of a static magnetic field. In particular, we study currents that are linear in both the spatial derivatives of an applied…

Mesoscale and Nanoscale Physics · Physics 2022-07-12 S. Nandy , D. A. Pesin

We study transport properties of topological Weyl nodal-line semimetals(NLSs). Starting from a minimal lattice model with a single nodal loop, and by focusing on a normal-metal-NLS-normal-metal junction, we investigate the dependence of the…

Mesoscale and Nanoscale Physics · Physics 2020-02-26 Yao Zhou , Feng Xiong , Weipeng Chen , Jin An