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We investigate the finite-frequency optical response of systems described at low energies by Dirac-Weyl Hamiltonians with higher pseudospin $\mathcal{S}$ values. In particular, we examine the situation where a tilting term is applied in the…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 W. Callum Wareham , E. J. Nicol

The interband optical response of a three-dimensional Dirac cone is linear in photon energy ($\Omega$). Here, we study the evolution of the interband response within a model Hamiltonian which contains Dirac, Weyl and gapped semimetal…

Mesoscale and Nanoscale Physics · Physics 2016-03-14 C. J. Tabert , J. P. Carbotte

We propose a 3D topolectrical (TE) network that can be tuned to realize various higher-order topological gapless and chiral phases. We first study a higher-order Dirac semimetal phase that exhibits a hinge-like Fermi arc linking the Dirac…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 S. M. Rafi-Ul-Islam , Zhuo Bin Siu , Haydar Sahin , Mansoor B. A. Jalil

The discovery of Weyl and Dirac semimetals has produced a number of dramatic physical effects, including the chiral anomaly and topological Fermi arc surface states. We point out that a very different but no less dramatic physical effect is…

Materials Science · Physics 2018-07-09 Haiwen Liu , Hua Jiang , Ziqiang Wang , Robert Joynt , X. C. Xie

For the solid state physics, recent interest to topological systems is mostly connected with topological semimetals, in particular, to Weyl ones as the most representative semimetal type. Like other topological materials, e.g. topological…

Mesoscale and Nanoscale Physics · Physics 2026-05-22 E. V. Deviatov

Topology, a well-established concept in mathematics, has nowadays become essential to describe condensed matter. At its core are chiral electron states on the bulk, surfaces and edges of the condensed matter systems, in which spin and…

Materials Science · Physics 2022-05-13 Claudia Felser , Johannes Gooth

Weyl semimetals have been intensely studied as a three dimensional realization of a Dirac-like excitation spectrum where the conduction bands and valence bands touch at isolated Weyl points in momentum space. Like in graphene, this property…

Strongly Correlated Electrons · Physics 2017-11-22 Tobias Holder , Chia-Wei Huang , Pavel Ostrovsky

Recently published discoveries of acoustic and optical mode inversion in the phonon spectrum of certain metals became the first realistic example of non-interacting topological bosonic excitations in existing materials. However, the…

Materials Science · Physics 2018-11-21 Sobhit Singh , QuanSheng Wu , Changming Yue , Aldo H. Romero , Alexey A. Soluyanov

Weyl semimetals have been theoretically predicted to become topological metals with anomalous Hall conductivity in amorphous systems. However, measuring the anomalous Hall conductivity in realistic materials, particularly those with…

Mesoscale and Nanoscale Physics · Physics 2025-05-06 Jiong-Hao Wang , Yong Xu

It has recently been demonstrated that it is possible to open a gap in a magnetic Weyl semimetal, while preserving the chiral anomaly along with the charge conservation and translational symmetries, which all protect the gapless nodes in a…

Strongly Correlated Electrons · Physics 2023-03-27 Jinmin Yi , Xuzhe Ying , Lei Gioia , A. A. Burkov

We demonstrate a few unique dynamical properties of point-gap Weyl semimetal, an intrinsic non-Hermitian topological phase in three dimensions. We consider a concrete model where a pair of Weyl points reside on the imaginary axis of the…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Haiping Hu , Erhai Zhao , W. Vincent Liu

Topological states of matter possess bulk electronic structures categorized by topological invariants and edge/surface states due to the bulk-boundary correspondence. Topological materials hold great potential in the development of…

The chiral anomaly is a phenomenon characteristic of Weyl fermions, which has condensed matter realizations in Weyl semimetals. Efforts to observe smoking gun signatures of the chiral anomaly in Weyl semimetals have mostly focused on a…

Strongly Correlated Electrons · Physics 2019-08-30 Aaron Hui , Yi Zhang , Eun-Ah Kim

The topological response of matter to electromagnetic fields is a property in high demand in materials design and metrology due to its robustness against noise and decoherence, stimulating recent advances in ultrafast photonics. Embedding…

The presence of electron correlations in a system with topological order can lead to exotic ground states. Considering single crystals of LaAgSb2 which has a square net crystal structure, one finds multiple charge density wave transitions…

The recently discovered Dirac and Weyl semimetals are new members of topological materials. Starting from them, topological superconductivity may be achieved, e.g. by carrier doping or applying pressure. Here we report high-pressure…

Superconductivity · Physics 2016-09-27 L. P. He , Y. T. Jia , S. J. Zhang , X. C. Hong , C. Q. Jin , S. Y. Li

Recently discovered Weyl semimetals (WSM) have found special place in topological condensed matter studies for they represent first example of massless Weyl fermions found in condensed matter systems. A WSM shows gapless bulk energy spectra…

Strongly Correlated Electrons · Physics 2021-02-23 Satyaki Kar , Arun M Jayannavar

We develop a non-perturbative theory to study large-scale quantum dynamics of Dirac particles in disordered scalar potentials (the so-called "topological metal"). For general disorder strength and carrier doping, we find that at large…

Mesoscale and Nanoscale Physics · Physics 2012-02-16 Chushun Tian

In this review we discuss a wide range of topological properties of electron quasiparticles in Dirac and Weyl semimetals. Their nontrivial topology is quantified by a monopole-like Berry curvature in the vicinity of Weyl nodes, as well as…

Mesoscale and Nanoscale Physics · Physics 2018-06-26 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

Topological semimetals are a frontier of quantum materials. In multi-band electronic systems, topological band-crossings can form closed curves, known as nodal lines. In the presence of spin-orbit coupling and/or symmetry-breaking…

Materials Science · Physics 2022-07-22 Tiantian Zhang , T. Yilmaz , E. Vescovo , H. X. Li , R. G. Moore , H. N. Lee , H. Miao , S. Murakami , M. A. McGuire