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Considering a $d$-wave superconductor being in proximity to a two-dimensional Weyl model, a topological superconductor with gapless edge states may be realized. We here demonstrate that the system can become topologically trivial when an…

Superconductivity · Physics 2019-04-02 Tao Zhou , Yi Gao , Z. D. Wang

Second-order topological insulators and superconductors have a gapped excitation spectrum in bulk and along boundaries, but protected zero modes at corners of a two-dimensional crystal or protected gapless modes at hinges of a…

Mesoscale and Nanoscale Physics · Physics 2018-07-05 Max Geier , Luka Trifunovic , Max Hoskam , Piet W. Brouwer

Having the potential for performing quantum computation, topological superconductors have been generalized to the second-order case. The hybridization of different orders of topological superconductors is attractive because it facilitates…

Superconductivity · Physics 2023-06-19 Hong Wu , Jun-Hong An

We study the Dirac quasiparticles in $d$-dimensional lattice systems of electrons in the presence of domain walls ($d=1$), vortices ($d=2$), or hedgehogs ($d=3$) of superconducting and/or insulating, order parameters, which appear as mass…

Mesoscale and Nanoscale Physics · Physics 2012-02-16 Igor F. Herbut

Photonic structures with topologically nontrivial bands are usually designed by arranging simple meta-atoms, ideally, single-mode ones, in a carefully designed photonic lattice with symmetry that guarantees the emergence of topological…

Optics · Physics 2020-10-21 Roman S. Savelev , Maxim A. Gorlach

The concept of free fermion topology has been generalized to $d$-dimensional phases that exhibit $(d-n)$-dimensional boundary modes, such as zero-dimensional (0D) corner excitations. Motivated by recent extensions of these ideas to magnetic…

Strongly Correlated Electrons · Physics 2023-12-22 Arijit Haldar , Geremia Massarelli , Arun Paramekanti

Symmetries -- whether explicit, latent, or hidden -- are fundamental to understanding topological materials. This work introduces a prototypical spring-mass model that extends beyond established canonical models, revealing topological edge…

Mesoscale and Nanoscale Physics · Physics 2025-03-04 Udbhav Vishwakarma , Murthaza Irfan , Georgios Theocharis , Rajesh Chaunsali

Continuum grid-like frames composed of rigidly jointed beams are classic subjects in the field of structural mechanics, whose topological dynamical properties have only recently been revealed. For two-dimensional frames, higher-order…

Materials Science · Physics 2026-05-05 Yimeng Sun , Jiacheng Xing , Li-Hua Shao , Jianxiang Wang

Topological materials rely on engineering global properties of their bulk energy bands called topological invariants. These invariants, usually defined over the entire Brillouin zone, are related to the existence of protected edge states.…

Mesoscale and Nanoscale Physics · Physics 2021-03-31 P. St-Jean , A. Dauphin , P. Massignan , B. Real , O. Jamadi , M. Milićević , A. Lemaître , A. Harouri , L. Le Gratiet , I. Sagnes , S. Ravets , J. Bloch , A. Amo

We introduce a model of three-dimensional (3D) topological order enriched by planar subsystem symmetries. The model is constructed starting from the 3D toric code, whose ground state can be viewed as an equal-weight superposition of…

Strongly Correlated Electrons · Physics 2020-09-09 David T. Stephen , José Garre-Rubio , Arpit Dua , Dominic J. Williamson

In a topological insulator, it is the electrons on the surface or edge that carry the signature of topology. Recently, a novel topological state has been proposed in metals or semimetals (gapless) whose band-structure is similar to that of…

The mutual feedback between quantum condensed matter and cold atom physics has been quite fruitful throughout history and continues to inspire ongoing research. Motivated by the recent activities on the quantum simulation of topological…

Strongly Correlated Electrons · Physics 2025-08-15 Pengwei Zhao , Gang v. Chen

We introduce two-dimensional topological insulators in proximity to high-temperature cuprate or iron-based superconductors as high-temperature platforms of Majorana Kramers pairs of zero modes. The proximity-induced pairing at the helical…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 Zhongbo Yan , Fei Song , Zhong Wang

Our study sets forth a carbon based two-dimensional (2D) kagome topological insulator without containing any metal atoms, that aligns the Fermi level with the Dirac point without the need for doping, overcoming a significant bottleneck…

Mesoscale and Nanoscale Physics · Physics 2024-12-17 Shashikant Kumar , Gulshan Kumar , Ajay Kumar , Prakash Parida

Two-dimensional materials (2DM) and their derived heterostructures have electrical and optical properties that are widely tunable via several approaches, most notably electrostatic gating and interfacial engineering such as twisting. While…

Mesoscale and Nanoscale Physics · Physics 2024-06-18 Haoning Tang , Yiting Wang , Xueqi Ni , Kenji Watanabe , Takashi Taniguchi , Pablo Jarillo-Herrero , Shanhui Fan , Eric Mazur , Amir Yacoby , Yuan Cao

Local topological charge structure in the 2D CP(N-1) sigma models is studied using the overlap Dirac operator. Long-range coherence of topological charge along locally 1D regions in 2D space-time is observed. We discuss the connection…

High Energy Physics - Lattice · Physics 2009-11-10 H. Thacker , S. Ahmad , J. Lenaghan

We show by means of ab initio calculations and tight-binding modeling that an oxide system based on a honeycomb lattice can sustain topologically non-trivial states if a single orbital dominates the spectrum close to the Fermi level. In…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 J. L. Lado , V. Pardo

Topologically protected one-way transportation of sound, mimicking the topological properties of the condensed matter, has received greatly attentions. Thus far, the topological phases and the topological edge states of sound are yielded in…

Materials Science · Physics 2018-04-18 Bai-Zhan Xia , Sheng-Jie Zheng , Ning Chen , Ting-Ting Liu , Jun-Rui Jiao , Hong-Qing Dai , De-Jie Yu , Jian Liu

Recently, unconventional superconductivity having a zero-bias conductance peak is reported in doped topological Dirac semimetal (DSM) with lattice distortion. Motivated by the experiments, we theoretically study the possible…

Superconductivity · Physics 2023-11-16 Sangmo Cheon , Ki Hoon Lee , Suk Bum Chung , Bohm-Jung Yang

Among the many far-reaching consequences of the potential existence of a magnetic monopole, it induces topological zero modes in the Dirac equation, which were derived by Jackiw and Rebbi 46 years ago and have been elusive ever since. Here,…

Mesoscale and Nanoscale Physics · Physics 2024-09-04 Hengbin Cheng , Jingyu Yang , Zhong Wang , Ling Lu
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