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We predict a novel metallic state of matter that emerges in a Weyl-semimetal superstructure with spatially varying Weyl-node positions. In the new state, the Weyl nodes are stretched into extended, anisotropic Fermi surfaces, which can be…

Mesoscale and Nanoscale Physics · Physics 2023-05-15 Maxim Breitkreiz , Piet W. Brouwer

Smooth interfaces of topological systems are known to host massive surface states along with the topologically protected chiral one. We show that in Weyl semimetals these massive states, along with the chiral Fermi arc, strongly alter the…

Mesoscale and Nanoscale Physics · Physics 2021-10-13 Xin Lu , Dibya Kanti Mukherjee , Mark O. Goerbig

A 3D fermionic topological insulator has a gapless Dirac surface state protected by time-reversal symmetry and charge conservation symmetry. The surface state can be gapped by introducing ferromagnetism to break time-reversal symmetry,…

Strongly Correlated Electrons · Physics 2013-09-24 Parsa Bonderson , Chetan Nayak , Xiao-Liang Qi

The chiral surface states of Weyl semimetals have an open Fermi surface called Fermi arc. At the interface between two Weyl semimetals, these Fermi arcs are predicted to hybridize and alter their connectivity. In this letter, we numerically…

Mesoscale and Nanoscale Physics · Physics 2023-08-07 D. -H. -Minh Nguyen , Chiara Devescovi , Dung Xuan Nguyen , Hai Son Nguyen , Dario Bercioux

Higher-dimensional topological phases play a key role in understanding the lower-dimensional topological phases and the related topological responses through a dimensional reduction procedure. In this work, we present a Dirac-type model of…

Mesoscale and Nanoscale Physics · Physics 2022-11-11 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

Most electronic properties of metals are determined solely by the low-energy states around the Fermi level, and for topological metals/semimetals, these low-energy states become distinct because of their unusual energy dispersion and…

We generalize the concept of three-dimensional topological Weyl semimetal to a class of five dimensional (5D) gapless solids, where Weyl points are generalized to Weyl surfaces which are two-dimensional closed manifolds in the momentum…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Biao Lian , Shou-Cheng Zhang

The topological classification of matter has been extended to include semimetallic phases characterized by the presence of topologically protected band degeneracies. In Weyl semimetals, the foundational gapless topological phase, chiral…

Materials Science · Physics 2020-07-16 Daniel Gosálbez-Martínez , Gabriel Autès , Oleg V. Yazyev

Weak topological insulators and Dirac semimetals are gapped and nodal phases with distinct topological properties, respectively. Here, we propose a novel topological phase that exhibits features of both and is dubbed composite Dirac…

Mesoscale and Nanoscale Physics · Physics 2019-10-16 Ziming Zhu , Zhi-Ming Yu , Weikang Wu , Lifa Zhang , Wei Zhang , Fan Zhang , Shengyuan A. Yang

We propose and characterize a new $\mathbb{Z}_2$ class of topological semimetals with a vanishing spin--orbit interaction. The proposed topological semimetals are characterized by the presence of bulk one-dimensional (1D) Dirac Line Nodes…

Materials Science · Physics 2015-12-03 Youngkuk Kim , Benjamin J. Wieder , C. L. Kane , Andrew M. Rappe

Systems with strong spin-orbit coupling, which competes with other interactions and energy scales, offer a fertile playground to explore new correlated phases of matter. Weyl semimetals are an example where the phenomenon leads to a low…

Strongly Correlated Electrons · Physics 2013-05-13 Huazhou Wei , Sung-Po Chao , Vivek Aji

We present a physical scenario in which both Fermi arcs and two-dimensional gapless Dirac states coexist as boundary modes at the same two-dimensional surface. This situation is realized in topological insulator-Weyl semimetal interfaces in…

Mesoscale and Nanoscale Physics · Physics 2015-04-29 Adolfo G. Grushin , Jörn W. F. Venderbos , Jens H. Bardarson

Weyl semimetals have been classified into type-I and type-II with respect to the geometry of their Fermi surfaces at the Weyl points. Here, we propose a new class of Weyl semimetal, whose unique Fermi surface contains two electron or two…

Mesoscale and Nanoscale Physics · Physics 2021-04-29 Xiao-Ping Li , Ke Deng , Botao Fu , YongKai Li , DaShuai Ma , JunFeng Han , Jianhui Zhou , Shuyun Zhou , Yugui Yao

Dirac semimetals, with their protected Dirac points, present an ideal platform for realizing intrinsic topological superconductivity. In this work, we investigate superconductivity in a two-dimensional, square-lattice nonsymmorphic Dirac…

Superconductivity · Physics 2025-12-03 Xiao-Jiao Wang , Yijie Mo , Zhi Wang , Zhigang Wu , Zhongbo Yan

As the development of topological band theory, comprehensive databases about time reversal and crystalline symmetries protected nonmagnetic topological materials were developed via first-principles calculations recently. However, owing to…

Materials Science · Physics 2020-04-06 Qiunan Xu , Yang Zhang , Klaus Koepernik , Wujun Shi , Jeroen van den Brink , Claudia Felser , Yan Sun

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

We have given a summary on our theoretical predictions of three kinds of topological semimetals (TSMs), namely, Dirac semimetal (DSM), Weyl semimetal (WSM) and Node-Line Semimetal (NLSM). TSMs are new states of quantum matters, which are…

Materials Science · Physics 2016-06-30 Hongming Weng , Xi Dai , Zhong Fang

In semimetals with time-reversal symmetry, the interplay between Weyl points and Fu-Kane-Mele indices results in coexisting surface Dirac cones and Fermi arcs that are transmutable without a topological phase transition. We show that Weyl…

Mesoscale and Nanoscale Physics · Physics 2017-08-10 Guo Chuan Thiang , Koji Sato , Kiyonori Gomi

We study the optical properties of Weyl semimetal (WSM) in a model which features, in addition to the usual term describing isolated Dirac cones proportional to the Fermi velocity $v_{F}$, a gap term $m$ and a Zeeman spin-splitting term $b$…

Strongly Correlated Electrons · Physics 2017-10-11 S. P. Mukherjee , J. P. Carbotte

In search of materials with three-dimensional flat band dispersions, using {\em ab-initio} computations, we investigate how topological phases evolve as a function of hydrostatic pressure and uniaxial strain in two types of superlattices:…