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The influence of networks topology on collective properties of dynamical systems defined upon it is studied in the thermodynamic limit. A network model construction scheme is proposed where the number of links, the average eccentricity and…

物理与社会 · 物理学 2015-05-25 Sarah De Nigris , Xavier Leoncini

A nodal link is a special form of a line degeneracy (a nodal line) between adjacent bands in the momentum space of a three-dimensional topological crystal. Unlike nodal chains or knots, a nodal link consists of two or more mutually-linked…

光学 · 物理学 2021-09-10 Haedong Park , Stephan Wong , Xiao Zhang , Sang Soon Oh

Recently, there has been a drive towards the realization of topological phases beyond conventional electronic materials, including phases defined in more than three dimensions. We propose a versatile and experimentally realistic approach of…

介观与纳米尺度物理 · 物理学 2019-07-24 Xiao Zhang , Youjian Chen , Yuzhu Wang , Jun Yu Lin , Nai Chao Hu , Bochen Guan , Ching Hua Lee

We study two coupled Su-Schrieffer-Heeger (SSH) chains system, which is shown to contain rich quantum phases associated with topological invariants protected by symmetries. In the weak coupling region, the system supports two non-trivial…

介观与纳米尺度物理 · 物理学 2017-09-14 Ci. Li , Sen. Lin , Gang. Zhang , Zhi. Song

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…

材料科学 · 物理学 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

Hopf-link semimetals exhibit exotic gapless band structures with fascinating topological properties, which have never been observed in nature. Here we demonstrate nodal lines with topological form of Hopf-link chains in artificial…

量子物理 · 物理学 2018-05-23 Xinsheng Tan , Mengmeng Li , Danyu Li , Kunzhe Dai , Haifeng Yu , Yang Yu

Percolation establishes the connectivity of complex networks and is one of the most fundamental critical phenomena for the study of complex systems. On simple networks, percolation displays a second-order phase transition; on multiplex…

适应与自组织系统 · 物理学 2023-03-14 Hanlin Sun , Filippo Radicchi , Jürgen Kurths , Ginestra Bianconi

Topological semimetal states which are constrained by symmetries and give birth to innovative excitations are the frontiers of topological quantum matter. Nodal chains in which two nodal rings connect at one point were first discovered in…

材料科学 · 物理学 2022-12-21 Hong-Ao Yang , Hao-Yu Wei , Bing-Yang Cao

While the topological order in two dimensions has been studied extensively since the discover of the integer and fractional quantum Hall systems, topological states in 3 spatial dimensions are much less understood. In this paper, we propose…

强关联电子 · 物理学 2014-12-17 Chao-Ming Jian , Xiao-Liang Qi

We review recent theoretical progress in the understanding and prediction of novel topological semimetals. Topological semimetals define a class of gapless electronic phases exhibiting topologically stable crossings of energy bands.…

介观与纳米尺度物理 · 物理学 2019-09-04 Heng Gao , Jörn W. F. Venderbos , Youngkuk Kim , Andrew M. Rappe

Topologically nontrivial states are common in symmetry broken phases at macroscopic scales. Low dimensional systems bring them to a microscopic level where solitons emerge as single particles. The earliest and latest applications are…

强关联电子 · 物理学 2007-05-23 S. Brazovski

Nodal-chain fermions, as novel topological states of matter, have been hotly discussed in non-magnetic materials. Here, by using first-principles calculations and symmetry analysis, we propose the realization of fully spin-polarized nodal…

材料科学 · 物理学 2020-11-30 Haopeng Zhang , Xiaoming Zhang , Ying Liu , Xuefang Dai , Guang Chen , Guodong Liu

We show that quantum systems of extended objects naturally give rise to a large class of exotic phases - namely topological phases. These phases occur when the extended objects, called ``string-nets'', become highly fluctuating and…

强关联电子 · 物理学 2009-11-10 Michael A. Levin , Xiao-Gang Wen

We review recent experimental progresses on layered topological materials, mainly focusing on transitional metal dichalcogenides with various lattice types including 1T, Td and 1T' structural phases. Their electronic quantum states are…

介观与纳米尺度物理 · 物理学 2019-03-25 Junchao Ma , Ke Deng , Lu Zheng , Sanfeng Wu , Zheng Liu , Shuyun Zhou , Dong Sun

The theory of topological insulators and superconductors has mostly focused on non-interacting and gapped systems. This review article discusses topological phases that are either gapless or interacting. We discuss recent progress in…

强关联电子 · 物理学 2013-01-04 Ari M. Turner , Ashvin Vishwanath

Topology is being widely adopted to understand and to categorize quantum matter in modern physics. The nexus of topology orders, which engenders distinct quantum phases with benefits to both fundamental research and practical applications…

Topological nodal line semimetals host stable chained, linked, or knotted line degeneracies in momentum space protected by symmetries. In this paper, we use the Jones polynomial as a general topological invariant to capture the global knot…

介观与纳米尺度物理 · 物理学 2020-05-11 Zhesen Yang , Ching-Kai Chiu , Chen Fang , Jiangping Hu

This work explores the topological phase diagram of inverted-band-gap semiconductors under strain and spin-orbit coupling. Using a minimalistic Luttinger Hamiltonian model, we follow the transitions between a 3D topological insulator, a…

介观与纳米尺度物理 · 物理学 2026-05-25 Vitaly N. Golovach , Alexander Khaetskii

Strongly interacting electrons in layered materials give rise to a plethora of emergent phenomena, such as unconventional superconductivity. heavy fermions, and spin textures with non-trivial topology. Similar effects can also be observed…

介观与纳米尺度物理 · 物理学 2022-08-23 Soroush Arabi , Taner Esat , Aizhan Sabitova , Yuqi Wang , Hovan Lee , Cedric Weber , Klaus Kern , F. Stefan Tautz , Ruslan Temirov , Markus Ternes

We investigate two-dimensional trilayered quantum systems with multi-orbital conduction bands by focusing on the role played by the layer degree of freedom in setting the character of nodal line semimetals. The layer index can label the…

介观与纳米尺度物理 · 物理学 2019-07-24 F. Forte , D. Guerra , C. Noce , W. Brzezicki , M. Cuoco