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We present a study of "nodal semimetal" phases, in which non-degenerate conduction and valence bands touch at points (the "Weyl semimetal") or lines (the "line node semimetal") in three-dimensional momentum space. We discuss a general…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 A. A. Burkov , M. D. Hook , Leon Balents

Weyl fermions are massless chiral quasiparticles existing in materials known as Weyl semimetals. Topological surface states, associated with the unusual electronic structure in the Weyl semimetals, have been recently demonstrated in linear…

Optics · Physics 2018-04-18 Ce Shang , Yuanlin Zheng , Boris A. Malomed

We introduce a general mechanism for obtaining Weyl points in a stack of 2D quasicrystals, which can be extended to any stack of aperiodic layers. We do so by driving a topological phase transition with the vertical crystal-momentum as the…

Mesoscale and Nanoscale Physics · Physics 2023-09-21 André Grossi e Fonseca , Thomas Christensen , John D. Joannopoulos , Marin Soljačić

Weyl semimetals are a class of materials that can be regarded as three-dimensional analogs of graphene breaking time reversal or inversion symmetry. Electrons in a Weyl semimetal behave as Weyl fermions, which have many exotic properties,…

Materials Science · Physics 2015-08-05 B. Q. Lv , H. M. Weng , B. B. Fu , X. P. Wang , H. Miao , J. Ma , P. Richard , X. C. Huang , L. X. Zhao , G. F. Chen , Z. Fang , X. Dai , T. Qian , H. Ding

Weyl semimetals are expected to open up new horizons in physics and materials science because they provide the first realization of Weyl fermions and exhibit protected Fermi arc surface states. However, they had been found to be extremely…

The recent discovery of the Lorentz symmetry-violating 'Type II' Weyl semimetal phase has renewed interest in the study of Weyl physics in condensed matter systems. However, tuning the exceptional properties of this novel state has remained…

Quantum Gases · Physics 2017-01-25 Kunal Shastri , Zhaoju Yang , Baile Zhang

We discover three-dimensional intertwined Weyl phases, by developing a theory to create topological phases. The theory is based on intertwining existing topological gapped and gapless phases protected by the same crystalline symmetry. The…

Mesoscale and Nanoscale Physics · Physics 2022-02-09 W. B. Rui , Zhen Zheng , Moritz M. Hirschmann , Song-Bo Zhang , Chenjie Wang , Z. D. Wang

The discovery of topological phases introduces new perspectives and platforms for various interesting physics originally investigated in quantum context and then, on an equal footing, in classic wave systems, such as photonics, acoustics…

Constrained by the Nielsen-Ninomiya no-go theorem, in all so-far experimentally determined Weyl semimetals (WSMs) the Weyl points (WPs) always appear in pairs in the momentum space with no exception. As a consequence, Fermi arcs occur on…

Recently, intense efforts have been devoted to realizing classical analogues of various topological phases of matter. In this Letter, we explore the intriguing Weyl physics by a simple one-dimensional sonic crystal, in which two extra…

Mesoscale and Nanoscale Physics · Physics 2019-05-01 Xiying Fan , Chunyin Qiu , Yuanyuan Shen , Hailong He , Meng Xiao , Manzhu Ke , Zhengyou Liu

Anisotropic photonic time crystals, enabled by periodic temporal modulation of a uniform anisotropic medium, exhibit asymmetric momentum-bandgap structures and offer unique control over light-matter interactions. Here, we introduce and…

Optics · Physics 2026-04-02 Zihao He , Sihao Zhang , Huanan Li , Xiang Ni

Based on $ab$ $initio$ calculations and low-energy effective $k{\cdot}p$ model, we propose a type of Weyl nodal point-line fermion, composed of 0D Weyl points and 1D Weyl nodal line, in ferromagnetic material Eu$_5$Bi$_3$. In the absence of…

Materials Science · Physics 2019-09-13 Hongbo Wu , Da-Shuai Ma , Botao Fu , Wei Guo , Yugui Yao

We find that generic boundary conditions of Weyl semimetal is dictated by only a single real parameter, in the continuum limit. We determine how the energy dispersions (the Fermi arcs) and the wave functions of edge states depend on this…

Mesoscale and Nanoscale Physics · Physics 2017-02-03 Koji Hashimoto , Taro Kimura , Xi Wu

Distinct to type-I Weyl semimetals (WSMs) that host quasiparticles described by the Weyl equation, the energy dispersion of quasiparticles in type-II WSMs violates Lorentz invariance and the Weyl cones in the momentum space are tilted.…

Mesoscale and Nanoscale Physics · Physics 2019-05-07 M. -Y. Yao , N. Xu , Q. Wu , G. Autès , N. Kumar , V. N. Strocov , N. C. Plumb , M. Radovic , O. V. Yazyev , C. Felser , J. Mesot , M. Shi

In 1929, H. Weyl proposed that the massless solution of Dirac equation represents a pair of new type particles, the so-called Weyl fermions [1]. However the existence of them in particle physics remains elusive for more than eight decades.…

Quantum materials governed by emergent topological fermions have become a cornerstone of physics. Dirac fermions in graphene form the basis for moir\'e quantum matter, and Dirac fermions in magnetic topological insulators enabled the…

The last decade has witnessed great advancements in the science and engineering of systems with unconventional band structures, seeded by studies of graphene and topological insulators. While the band structure of graphene simulates…

Strongly Correlated Electrons · Physics 2013-12-09 Pavan Hosur , Xiaoliang Qi

We demonstrate that a Weyl point, widely examined in 3D Weyl semimetals and superfluids, can develop a pair of non-degenerate gapless spheres. Such a bouquet of two spheres is characterized by three distinct topological invariants of…

Quantum Gases · Physics 2016-04-14 Yong Xu , Fan Zhang , Chuanwei Zhang

In periodic media, despite the close relationship between geometrical effects in the bulk and topological surface states, the two are typically probed separately. We show that when beams in a Weyl medium reflect off an interface with a…

Mesoscale and Nanoscale Physics · Physics 2019-02-20 Udvas Chattopadhyay , Li-Kun Shi , Baile Zhang , Justin C. W. Song , Y. D. Chong

A Weyl semimetal is a new state of matter that host Weyl fermions as quasiparticle excitations. The Weyl fermions at zero energy correspond to points of bulk band degeneracy, Weyl nodes, which are separated in momentum space and are…