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Periodic stacking of topologically trivial and non-trivial layers with opposite symmetry of the valence and conduction bands induces topological interface states that, in the strong coupling limit, hybridize both across the topological and…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 G. Krizman , B. A. Assaf , G. Bauer , G. Springholz , L. A. de Vaulchier , Y. Guldner

We study the non-trivial phase of the two-dimensional breathing kagome lattice, displaying both edge and corner modes. The corner localized modes of a two-dimensional flake were initially identified as a signature of a higher-order…

Mesoscale and Nanoscale Physics · Physics 2022-02-15 M. A. J. Herrera , S. N. Kempkes , M. Blanco de Paz , A. García-Etxarri I. Swart , C. Morais Smith , D. Bercioux

High-order topological insulators are a recent development extending the topological theory of charge polarization to higher multipole moments. Since their theoretical proposal, several experimental realizations of high-order topological…

Mesoscale and Nanoscale Physics · Physics 2019-01-23 Marc Serra-Garcia , Roman Süsstrunk , Sebastian D. Huber

Topological corner states are exotic topological boundary states that are bounded to zero-dimensional geometry even the dimension of systems is large than one. As an elegant physical correspondence, their numbers are dictated by the bulk…

Mesoscale and Nanoscale Physics · Physics 2024-04-18 Yi Li , Jia-Hui Zhang , Feng Mei , Biye Xie , Ming-Hui Lu , Jie Ma , Liantuan Xiao , Suotang Jia

We study an extended Hubbard model with the nearest-neighbor Coulomb interaction on the pyrochlore lattice at half filling. An interaction-driven insulating phase with nontrivial Z_2 invariants emerges at the Hartree-Fock mean-field level…

Strongly Correlated Electrons · Physics 2015-05-20 Moyuru Kurita , Youhei Yamaji , Masatoshi Imada

Point-gap topological phases of non-Hermitian systems exhibit exotic boundary states that have no counterparts in Hermitian systems. Here, we develop classification of second-order point-gap topological phases protected by reflection…

Mesoscale and Nanoscale Physics · Physics 2025-12-05 Yutaro Tanaka , Daichi Nakamura , Ryo Okugawa , Kohei Kawabata

We propose a realization of higher-order topological phases in a spring-mass model with a breathing kagome structure. To demonstrate the existence of the higher-order topological phases, we characterize the topological properties and show…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Hiromasa Wakao , Tsuneya Yoshida , Hiromu Araki , Tomonari Mizoguchi , Yasuhiro Hatsugai

We investigate bilayer and trilayer systems composed of topologically distinct, vertically stacked layers, forming topological heterostructures based on the Benalcazar-Bernevig-Hughes model. We find that a topological phase transition…

Mesoscale and Nanoscale Physics · Physics 2025-04-15 Natsuko Ishida , Motohiko Ezawa , Guangtai Lu , Wenbo Lin , Yasutomo Ota , Yasuhiko Arakawa , Satoshi Iwamoto

Topological photonics shows considerable promise in revolutionizing photonic devices through the use of topological phases, leading to innovations like topological lasers that enhance light control. One of recent breakthroughs is reducing…

Optics · Physics 2024-05-16 Guangtai Lu , Yasutomo Ota , Satoshi Iwamoto

Higher-order topological phases of matter have been extensively studied in various areas of physics. While the Aubry-Andr\'e-Harper model provides a paradigmatic example to study topological phases, it has not been explored whether a…

Mesoscale and Nanoscale Physics · Physics 2020-07-17 Qi-Bo Zeng , Yan-Bin Yang , Yong Xu

We propose a new type of topological states of matter exhibiting topologically nontrivial edge states (ESs) within gapless bulk states (GBSs) protected by both spin rotational and reflection symmetries. A model presenting such states is…

Mesoscale and Nanoscale Physics · Physics 2019-04-23 Masoud Bahari , Mir Vahid Hosseini

We introduce a model of vortices in type-II superconductors with a four-fold anisotropy in the vortex-vortex interaction potential. Using numerical simulations we show that the vortex lattice undergoes structural transitions as the…

Superconductivity · Physics 2018-07-30 M. W. Olszewski , M. R. Eskildsen , C. Reichhardt , C. J. O. Reichhardt

We propose a minimal lattice model for two-dimensional class DIII superconductors with $C_2$-protected higher-order topology. While this class of superconductors cannot be topologically characterized by symmetry eigenvalues at high symmetry…

Superconductivity · Physics 2020-11-25 DinhDuy Vu , Rui-Xing Zhang , Sankar Das Sarma

We demonstrate that multiple higher-order topological transitions can be triggered via the continuous change of the geometry in kagome photonic crystals composed of three dielectric rods. By tuning a single geometry parameter, the photonic…

Optics · Physics 2021-09-01 Hai-Xiao Wang , Li Liang , Bin Jiang , Junhui Hu , Xiancong Lu , Jian-Hua Jiang

Rapid development of topological concepts in photonics unveils exotic phenomena such as unidirectional propagation of electromagnetic waves resilient to backscattering at sharp bends and disorder-immune localization of light at stable…

We realize an elastic second-order topological insulator hosting both one-dimensional gapped edge states and zero-dimensional in-gap corner modes in the double-sided pillared phononic crystal plates with square lattice. Changing the width…

Classical Physics · Physics 2019-09-04 Shao-yong Huo , Hong-bo Huang , Lu-yang Feng , Jiu-jiu Chen

Recently discovered photonic higher-order topological insulators enable unprecedented flexibility in the robust localization of light in structures of different dimensionality. While the potential of the two-dimensional systems is currently…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Valerii I. Kachin , Maxim A. Gorlach

Higher-order topological insulators have attracted considerable interests as a novel topological phase of matter, where topologically non-trivial nature of bulk protects boundary states whose co-dimension is larger than one. It has been…

Mesoscale and Nanoscale Physics · Physics 2019-09-23 Tomonari Mizoguchi , Hiromu Araki , Yasuhiro Hatsugai

Topological theories have established a new set of rules that govern the transport properties in a wide variety of wave-mechanical settings. In a marked departure from the established approaches that induce Floquet topological phases by…

Lattice geometry continues providing exotic topological phases in condensed matter physics. Exciting recent examples are the higher-order topological phases, manifesting via localized lower-dimensional boundary states. Moreover, flat…

Superconductivity · Physics 2023-10-12 Narayan Mohanta , Rahul Soni , Satoshi Okamoto , Elbio Dagotto