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Classical wave fields are real-valued, ensuring the wave states at opposite frequencies and momenta to be inherently identical. Such a particle-hole symmetry can open up new possibilities for topological phenomena in classical systems. Here…

Mesoscale and Nanoscale Physics · Physics 2016-12-08 Dafei Jin , Ling Lu , Zhong Wang , Chen Fang , John D. Joannopoulos , Marin Soljačić , Liang Fu , Nicholas X. Fang

Search for higher-order topological insulators, characterized by topologically protected gapless boundary states of codimension higher than one, in bosonic systems has attracted growing interest. Here, we establish twisted bilayer honeycomb…

Strongly Correlated Electrons · Physics 2023-01-16 Chun-Bo Hua , Feiping Xiao , Zheng-Rong Liu , Jin-Hua Sun , Jin-Hua Gao , Chui-Zhen Chen , Qingjun Tong , Bin Zhou , Dong-Hui Xu

The past years have seen rapid progress in the classification of topological materials. These diagnostical methods are increasingly getting explored in the pertinent context of magnetic structures. We report on a general class of electronic…

Mesoscale and Nanoscale Physics · Physics 2021-06-18 Adrien Bouhon , Gunnar F. Lange , Robert-Jan Slager

Pontrjagin's seminal topological classification of two-band Hamiltonians in three momentum dimensions is hereby enriched with the inclusion of a crystallographic rotational symmetry. The enrichment is attributed to a new topological…

Mesoscale and Nanoscale Physics · Physics 2022-08-31 Aleksandra Nelson , Titus Neupert , A. Alexandradinata , Tomáš Bzdušek

We study the band structure of phases induced by depositing bilayer graphene on a transition metal dichalcogenide monolayer. Tight-binding and low-energy effective Hamiltonian calculations show that it is possible to induce topologically…

Mesoscale and Nanoscale Physics · Physics 2018-06-20 Abdulrhman M. Alsharari , Mahmoud M. Asmar , Sergio E. Ulloa

The Klein bottle Benalcazar-Bernevig-Hughes (BBH) insulator phase plays a pivotal role in understanding higher-order topological phases. The insulator phase is characterized by a unique feature: a nonsymmorphic glide symmetry that exists…

Mesoscale and Nanoscale Physics · Physics 2024-07-22 Xizhou Shen , Keyu Pan , Xiumei Wang , Xingping Zhou

The ground state of translationally-invariant insulators comprise bands which can assume topologically distinct structures. There are few known examples where this distinction is enforced by a point-group symmetry alone. In this paper we…

Strongly Correlated Electrons · Physics 2014-04-15 A. Alexandradinata , Xi Dai , B. Andrei Bernevig

Existence of nontrivial topological phases in a tight binding Haldane-like model on the depleted Lieb lattice is reported. This two-band model is formulated by considering the nearest-neighbor, next-nearest-neighbor and…

Mesoscale and Nanoscale Physics · Physics 2023-12-18 Arghya Sil , Asim Kumar Ghosh

The multipartite non-Hermitian Su-Schrieffer-Heeger model is explored as a prototypical example of one-dimensional systems with several sublattice sites for unveiling intriguing insulating and metallic phases with no Hermitian counterparts.…

Mesoscale and Nanoscale Physics · Physics 2022-05-10 Ritu Nehra , Dibyendu Roy

We investigate the dynamics and topology of metastructures with quasiperiodically modulated local resonances. The concept is implemented on a LEGO beam featuring an array of tunable pillar-cone resonators. The versatility of the platform…

Applied Physics · Physics 2021-04-07 Matheus I. N. Rosa , Yuning Guo , Massimo Ruzzene

Nontrivial band topology along with magnetism leads to different novel quantum phases. When time-reversal-symmetry is broken in three-dimensional topological insulators (TIs) by applying high enough magnetic field or proximity effect,…

Mesoscale and Nanoscale Physics · Physics 2023-09-11 Nezhat Pournaghavi , Banasree Sadhukhan , Anna Delin

Symmetry plays an important role in the topological band theory. In contrary, study on the topological properties of the asymmetric systems is rather limited, especially in higher-dimensional systems. In this work, we explore a new theory…

Mesoscale and Nanoscale Physics · Physics 2025-09-26 Yunlin Li , Yufu Liu , Xuezhi Wang , Haoran Zhang , Xunya Jiang

We present the exhaustive classification of surface states of topological insulators and superconductors protected by crystallographic magnetic point group symmetry in three spatial dimensions. Recently, Cornfeld and Chapman [Phys. Rev. B…

Mesoscale and Nanoscale Physics · Physics 2022-02-18 Ken Shiozaki

Recent experimental advances in controlling dissipation have brought about unprecedented flexibility in engineering non-Hermitian Hamiltonians in open classical and quantum systems. A particular interest centers on the topological…

Mesoscale and Nanoscale Physics · Physics 2018-09-25 Zongping Gong , Yuto Ashida , Kohei Kawabata , Kazuaki Takasan , Sho Higashikawa , Masahito Ueda

Magnetic and topological properties along with quantum correlations in terms of several entanglement measures have been investigated for an antiferromagnetic spin-1/2 XY model in the presence of transverse magnetic field and XZX$-$YZY type…

Mesoscale and Nanoscale Physics · Physics 2024-05-20 Rakesh Kumar Malakar , Asim Kumar Ghosh

We examine the transition from trivial to non-trivial phases in a Su-Schrieffer-Heeger model subjected to disorder in a quasi-periodic environment. We analytically determine the phase boundary, and characterize the localization of normal…

Statistical Mechanics · Physics 2025-12-09 Sayan Sircar

We theoretically study the electronic structure and spin properties of one-dimensional nanostructures of the prototypical bulk topological insulator Bi$_2$Se$_3$. Realistic models of experimentally observed Bi$_2$Se$_3$ nanowires and…

Mesoscale and Nanoscale Physics · Physics 2018-04-13 Naunidh Virk , Gabriel Autès , Oleg V. Yazyev

Topological insulators represent a new state of matter where the topological nature of the bulk bands dictates the existence of a surface state with unique properties. These materials are predicted to host exotic states such as Majorana…

Materials Science · Physics 2012-05-29 Yoshinori Okada , Wenwen Zhou , Chetan. Dhital , D. Walkup , Ying Ran , Z. Wang , Stephen D. Wilson , V. Madhavan

We consider a one-dimensional system combining local magnetic moments and a delocalized metallic band on top of a superconducting substrate. This system can describe a chain of magnetic impurities with both localized polarized orbitals and…

Mesoscale and Nanoscale Physics · Physics 2017-12-13 Gian Marcello Andolina , Pascal Simon

The non-trivial topological features in the energy band of non-Hermitian systems provide promising pathways to achieve robust physical behaviors in classical or quantum open systems. A key topological feature, unique to non-Hermitian…