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Topologically protected fermionic quasiparticles appear in metals, where band degeneracies occur at the Fermi level, dictated by the band structure topology. While in some metals these quasiparticles are direct analogues of elementary…

介观与纳米尺度物理 · 物理学 2016-07-11 Ziming Zhu , Georg W. Winkler , QuanSheng Wu , Ju Li , Alexey A. Soluyanov

The stability of three-dimensional relativistic semimetals to disorder has recently attracted great attention, but the effect of disorder remains elusive for multifold fermions, that are not present in the framework of quantum field theory.…

介观与纳米尺度物理 · 物理学 2022-12-20 Hsiu-Chuan Hsu , Ion Cosma Fulga , Jhih-Shih You

Novel fermionic quasiparticles with integer pseudospins in some energy bands, such as pseudospin-1 triple-point fermions, recently attract increasing interest since they are beyond the conventional spin-$1/2$ Dirac and Weyl counterparts. In…

量子气体 · 物理学 2018-11-27 Xue-Ying Mai , Yan-Qing Zhu , Zhi Li , Dan-Wei Zhang , Shi-Liang Zhu

Multifold fermions, quasiparticles with multiple degeneracy protected by crystalline symmetries, exhibit a variety of intriguing phenomena stemming from their large topological charges and unique band structures. A comprehensive…

介观与纳米尺度物理 · 物理学 2025-11-21 Koki Satow , Ai Yamakage

The interplay of symmetry and topology in crystal solids has given rise to various elementary excitations as quasiparticles. Among these, those with significant Berry-phase-related transport responses are of particular interest. Here, we…

材料科学 · 物理学 2025-02-05 Ao Zhang , Xiaobing Chen , Jiayu Li , Pengfei Liu , Yuntian Liu , Qihang Liu

Topologically protected fermionic quasiparticles occur in metals with band degeneracy as a consequence of band structure topology. Here we unveil topological semimetal and metal phases in a variety of non-symmorphic collinear…

强关联电子 · 物理学 2017-04-12 Wojciech Brzezicki , Mario Cuoco

We propose a simple theoretical construction of certain short-range entangled phases of interacting fermions, by putting the bound states of three fermions (which we refer to as clustons) into topological bands. We give examples in two and…

强关联电子 · 物理学 2015-07-14 Chong Wang

The realization of triply degenerate points (TDPs) with exotic fermionic excitations has opened a new perspective for the understanding of our nature. Here we explore the coexistence of single unpaired TDP and multiple twofold Weyl points…

量子气体 · 物理学 2022-07-14 Zhoutao Lei , Yuangang Deng , Chaohong Lee

The recent discovery of triply degenerate points (TDPs) in topological materials has opened a new perspective toward the realization of novel quasiparticles without counterparts in quantum field theory. The emergence of such protected nodes…

介观与纳米尺度物理 · 物理学 2018-06-19 Haiping Hu , Junpeng Hou , Fan Zhang , Chuanwei Zhang

Acoustic phonon in a crystalline solid is a well-known and ubiquitous example of elementary excitation with a triple degeneracy in the band structure. Because of the Nambu-Goldstone theorem, this triple degeneracy is always present in the…

介观与纳米尺度物理 · 物理学 2021-12-14 Sungjoon Park , Yoonseok Hwang , Hong Chul Choi , Bohm-Jung Yang

We predict the existence of triple point fermions in the band structure of several half-Heusler topological insulators by $ab~initio$ calculations and the Kane model. We find that many half-Heusler compounds exhibit multiple triple points…

材料科学 · 物理学 2017-10-04 Hao Yang , Jiabin Yu , Stuart S. P. Parkin , Claudia Felser , Chao-Xing Liu , Binghai Yan

The discovery of topological semimetals with multifold band crossings has opened up a new and exciting frontier in the field of topological physics. These materials exhibit large Chern numbers, leading to long double Fermi arcs on their…

Symmetry-protected topological (SPT) phases of matter have been interpreted in terms of anomalies, and it has been expected that a similar picture should hold for SPT phases with fermions. Here, we describe in detail what this picture means…

介观与纳米尺度物理 · 物理学 2016-08-03 Edward Witten

In an ordinary three-dimensional metal the Fermi surface forms a two-dimensional closed sheet separating the filled from the empty states. Topological semimetals, on the other hand, can exhibit protected one-dimensional Fermi lines or…

介观与纳米尺度物理 · 物理学 2016-05-24 Y. -H. Chan , Ching-Kai Chiu , M. Y. Chou , Andreas P. Schnyder

We demonstrate the existence of topologically stable unpaired exceptional points (EPs), and construct simple non-Hermitian (NH) tight-binding models exemplifying such remarkable nodal phases. While fermion doubling, i.e. the necessity of…

介观与纳米尺度物理 · 物理学 2023-10-31 J. Lukas K. König , Kang Yang , Jan Carl Budich , Emil J. Bergholtz

Strong interactions can give rise to new fermionic symmetry protected topological phases which have no analogs in free fermion systems. As an example, we have systematically studied a spinless fermion model with $U(1)$ charge conservation…

强关联电子 · 物理学 2015-06-17 Shang-Qiang Ning , Hong-Chen Jiang , Zheng-Xin Liu

Topological Dirac and Weyl semimetals not only host quasiparticles analogous to the elementary fermionic particles in high-energy physics, but also have nontrivial band topology manifested by exotic Fermi arcs on the surface. Recent…

Triply degenerate points (TDPs) in band structure of a crystal can generate novel TDP fermions without high-energy counterparts. Although identifying ideal TDP semimetals, which host clean TDP fermions around the Fermi level ($E_F$) without…

材料科学 · 物理学 2017-12-27 Jianfeng Wang , Xuelei Sui , Wujun Shi , Jinbo Pan , Shengbai Zhang , Feng Liu , Su-Huai Wei , Qimin Yan , Bing Huang

Symmetry-protected topological phases (SPT) are short-range entangled gapped states protected by global symmetry. Nontrivial SPT phases cannot be adiabatically connected to the trivial disordered state(or atomic insulator) as long as…

强关联电子 · 物理学 2016-06-02 Peng Ye , Zheng-Cheng Gu

We introduce a Hamiltonian coupling Majorana fermion degrees of freedom to a quantum dimer model. We argue that, in three dimensions, this model has deconfined quasiparticles supporting Majorana zero modes obeying nontrivial statistics. We…

强关联电子 · 物理学 2013-05-29 Michael Freedman , Matthew B. Hastings , Chetan Nayak , Xiao-Liang Qi
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