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The mathematical foundation of quantum mechanics is built on linear algebra, while the application of nonlinear operators can lead to outstanding discoveries under some circumstances. In this Letter, we propose a model of square-root…

其他凝聚态物理 · 物理学 2022-10-12 Lingling Song , Huanhuan Yang , Yunshan Cao , Peng Yan

Graphene as a two-dimensional (2D) topological Dirac semimetal has attracted much attention for its outstanding properties and potential applications. However, three-dimensional (3D) topological semimetals for carbon materials are still…

The response to an electric field (DC and AC) of electronic systems in which the Fermi "surface" consists of a number of 3D Weyl points (such as some pyrochlore iridates) exhibits a peculiar combination of characteristics usually associated…

强关联电子 · 物理学 2015-06-15 B. Rosenstein , M. Lewkowicz

We introduce (3+1) dimensional models of short-range-interacting electrons that form a strongly correlated many-body state whose low-energy excitations are relativistic neutral fermions coupled to an emergent gauge field, $\text{QED}_{4}$.…

强关联电子 · 物理学 2018-11-21 Eran Sagi , Ady Stern , David F. Mross

Weyl points exist in a fascinating topological state of matter with linear band crossings analogous to magnetic monopoles. Tremendous efforts have been devoted to investigate fermionic topological matters with Weyl points in the…

量子气体 · 物理学 2023-07-19 Guang-Quan Luo , Guan-Hua Huang , Zhi-Fang Xu

Weyl semimetals are a new paradigmatic topological phase of matter featuring a gapless spectrum. One of its most distinctive features is the presence of Fermi arc surface states. Here, we report on atomistic simulations of the dc…

介观与纳米尺度物理 · 物理学 2018-03-20 Jose Chesta Lopez , Luis E. F. Foa Torres , Alvaro S. Nunez

Weyl semimetals are extraordinary systems where exotic phenomena such as Fermi arcs, pseudo-gauge fields and quantum anomalies arise from topological band degeneracy in crystalline solids for electrons and metamaterials for photons and…

介观与纳米尺度物理 · 物理学 2022-11-23 Li Luo , Hai-Xiao Wang , Bin Jiang , Ying Wu , Zhi-Kang Lin , Feng Li , Jian-Hua Jiang

Weyl semimetals harbor unusual surface states known as Fermi arcs, which are essentially disjoint segments of a two dimensional Fermi surface. We describe a prescription for obtaining Fermi arcs of arbitrary shape and connectivity by…

强关联电子 · 物理学 2012-11-08 Pavan Hosur

We begin this review with an introduction and a discussion of Weyl fermions as emergent particles in condensed matter systems, and explain how high energy phenomena like the chiral anomaly can be seen in low energy experiments. We then…

介观与纳米尺度物理 · 物理学 2016-03-23 Sumathi Rao

The three-dimensional topological semimetals represent a new quantum state of matter. Distinct from the surface state in the topological insulators that exhibits linear dispersion in two-dimensional momentum plane, the three-dimensional…

In floppy mechanical lattices, robust edge states and bulk Weyl modes are manifestations of underlying topological invariants. To explore the universality of these phenomena independent of microscopic detail, we formulate topological…

软凝聚态物质 · 物理学 2025-11-03 Ian Tan , Anton Souslov

Engineering surfaces and interfaces of materials promises great potential in the field of heterostructures and quantum matter designer, with the opportunity of driving new many-body phases that are absent in the bulk compounds. Here, we…

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…

介观与纳米尺度物理 · 物理学 2022-09-20 Haiping Hu , Erhai Zhao , W. Vincent Liu

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…

介观与纳米尺度物理 · 物理学 2022-12-23 J. P. Santos Pires

Lorentz-violating type-II Weyl fermions, which were missed in Weyl's prediction of nowadays classified type-I Weyl fermions in quantum field theory, have recently been proposed in condensed matter systems. The semimetals hosting type-II…

介观与纳米尺度物理 · 物理学 2016-11-28 Zhaoju Yang , Baile Zhang

It was recently shown that nonsymmorphic space group symmetries can protect novel surface states with hourglass-like dispersions. In this paper, we show that such dispersions can also appear in the bulk of three-dimensional (3D) systems…

介观与纳米尺度物理 · 物理学 2017-08-10 Luyang Wang , Shao-Kai Jian , Hong Yao

Following the intense studies on topological insulators, significant efforts have recently been devoted to the search for gapless topological systems. These materials not only broaden the topological classification of matter but also…

Motivated by recent progress in epitaxial growth of proximity structures of s-wave superconductors (S) and spin-active materials (M), we show that the periodic structure of S and M can behave effectively as a superconductor with pairs of…

超导电性 · 物理学 2018-07-03 Ahmet Keles , Erhai Zhao

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…

介观与纳米尺度物理 · 物理学 2021-10-13 Xin Lu , Dibya Kanti Mukherjee , Mark O. Goerbig

The exploration of topological phases in carbon allotropes offers a fascinating avenue to realize topological devices based on carbon materials. Here, using first-principles calculations, we propose a novel metastable carbon allotrope,…

材料科学 · 物理学 2021-08-17 Chao Zhang , Xian-Yong Ding , Li-Yong Gan , Yu Cao , Bing-Sheng Li , Xiaozhi Wu , Rui Wang