English
Related papers

Related papers: Network model for higher-order topological phases

200 papers

We start by describing a symmetry enforced nodal line semi-metal (NLSM) in the 2D flat form of honeycomb Group - V and its non trivial thermo-electric response. We will then proceed to show that, upon buckling, the system undergoes its…

Materials Science · Physics 2022-02-15 Santosh Kumar Radha

Quantized electric quadrupole insulators have recently been proposed as novel quantum states of matter in two spatial dimensions. Gapped otherwise, they can feature zero-dimensional topological corner mid-gap states protected by the bulk…

Symmetry-protected topological (SPT) phases in insulators and superconductors are known for their robust edge modes, linked to bulk invariants through the bulk-boundary correspondence. While this principle traditionally applies to gapped…

Strongly Correlated Electrons · Physics 2024-11-06 Gabriel Cardoso , Hsiu-Chung Yeh , Leonid Korneev , Alexander G. Abanov , Aditi Mitra

Higher-order topological phases are characterized by protected states localized at the corners or hinges of the system. By applying time-periodic quenches to a two-dimensional lattice with balanced gain and loss, we obtain a rich variety of…

Mesoscale and Nanoscale Physics · Physics 2020-09-23 Jiaxin Pan , Longwen Zhou

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

The higher-order corner modes for quantum anomalous Hall insulators in $C_3$ symmetry broken honeycomb lattice have been engineered recently. Here we consider an extended Haldane model in presence of inversion symmetry breaking sub-lattice…

Mesoscale and Nanoscale Physics · Physics 2023-06-05 Sudarshan Saha , Tanay Nag , Saptarshi Mandal

We investigate the physics of one-dimensional symmetry protected topological (SPT) phases protected by symmetries whose symmetry generators exhibit spatial modulation. We focus in particular on phases protected by symmetries with linear…

Strongly Correlated Electrons · Physics 2023-09-20 Jung Hoon Han , Ethan Lake , Ho Tat Lam , Ruben Verresen , Yizhi You

The bulk-boundary correspondence relates quantized edge states to bulk topological invariants in topological phases of matter. In one-dimensional symmetry-protected topological systems (SPTs), quantized topological Thouless pumps directly…

Strongly Correlated Electrons · Physics 2022-06-20 Julian F. Wienand , Friederike Horn , Monika Aidelsburger , Julian Bibo , Fabian Grusdt

For spinful systems with spin 1/2, it is generally believed that P and T invariant strong and second-order topologies exist in four band and eight band system, respectively. Here, by using periodic driving, we find it is possible to have…

Mesoscale and Nanoscale Physics · Physics 2024-06-14 Hong Wu , Yu-Chen Dong , Hui Liu

Non-Hermitian systems can host topological states with novel topological invariants and bulk-edge correspondences that are distinct from conventional Hermitian systems. Here we show that two unique classes of non-Hermitian 2D topological…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Junpeng Hou , Ya-Jie Wu , Chuanwei Zhang

We introduce a one dimensional non-Hermitian four band tight binding lattice system. We find stable topological edge states protected by particle-hole and parity-time symmetries. We show that topological phase appears in the system. We…

Mesoscale and Nanoscale Physics · Physics 2019-05-21 C. Yuce

The recent discovery of heavy-fermion superconductor UTe$_2$ has broadened the possibility of realizing exotic time-reversal-symmetry-breaking superconductivity. However, a comprehensive understanding of the topological phases in the…

Superconductivity · Physics 2025-11-11 Yuki Yamazaki , Shingo Kobayashi

Topological order has been proposed to go beyond Landau symmetry breaking theory for more than twenty years. But it is still a challenging problem to generally detect it in a generic many-body state. In this paper, we will introduce a…

Strongly Correlated Electrons · Physics 2014-11-19 Huan He , Heidar Moradi , Xiao-Gang Wen

Motivated by the recent discovery of higher-order topological insulators, we study their counterparts in strongly interacting bosons: `higher-order symmetry protected topological (HOSPT) phases'. While the usual (1st-order) SPT phases in d…

Strongly Correlated Electrons · Physics 2020-03-04 Alex Rasmussen , Yuan-Ming Lu

Higher-order topological insulators (HOTIs) represent a family of topological phases that go beyond the conventional bulkboundary correspondence. d-dimensional n-th order HOTIs maintain (d - n)-dimensional gapless boundary states (in…

Optics · Physics 2026-02-12 Rujiang Li , Wencai Wang , Yongtao Jia , Ying Liu , Pengfei Li , Boris A. Malomed

We propose a realizable experiment scheme to construct a one-dimensional synthetic magnetic flux lattice with spin-tensor-momentum coupled spin-1 atoms and explore its exotic topological states. Different from the Altland-Zirnbauer…

Quantum Gases · Physics 2020-07-14 Zhoutao Lei , Yuangang Deng , Chaohong Lee

Topology forms a cornerstone in modern condensed matter and statistical physics, offering a new framework to classify the phases and phase transitions beyond the traditional Landau paradigm. However, it is widely believed that topological…

Strongly Correlated Electrons · Physics 2026-01-05 Xue-Jia Yu , Limei Xu , Hai-Qing Lin

I consider higher-order topological insulator (HOTI) created in chi(2) nonlinear medium and based on two-dimensional generalization of the Su-Schrieffer-Heeger waveguide array, where transition between trivial and topological phases is…

Optics · Physics 2025-03-03 Yaroslav V. Kartashov

Topological order has become a new paradigm to distinguish ground states of interacting many-body systems without conventional long-range order. Here we discuss possible extensions of this concept to density matrices describing statistical…

Quantum Physics · Physics 2017-02-08 Fabian Grusdt

We extend the symmetry topological field theory (SymTFT) framework to open quantum systems. Using canonical purification, we embed mixed states into a doubled (2+1)-dimensional topological order and employ the slab construction to study…

Strongly Correlated Electrons · Physics 2025-07-09 Ran Luo , Yi-Nan Wang , Zhen Bi