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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…

Motivated by new capabilities to realise artificial gauge fields in ultracold atomic systems, and by their potential to access correlated topological phases in lattice systems, we present a new strategy for designing topologically…

Quantum Gases · Physics 2012-11-22 N. R. Cooper , R. Moessner

The classification of topological insulators predicts the existence of high-dimensional topological phases that cannot occur in real materials, as these are limited to three or fewer spatial dimensions. We use electric circuits to…

Mesoscale and Nanoscale Physics · Physics 2020-06-03 You Wang , Hannah M. Price , Baile Zhang , Y. D. Chong

Non-Hermitian topological matter provides a platform for engineering phenomena that go beyond the capabilities of Hermitian systems, enabling the use of losses to engineer topological phenomena. Non-Hermitian models often rely on artificial…

The study of topological states has developed rapidly in electric circuits, which permits flexible fabrications of non-Hermitian systems by introducing non-Hermitian terms. Here, nonreciprocal coupling terms are realized by utilizing a…

Mesoscale and Nanoscale Physics · Physics 2023-10-17 Bin Liu , Yang Li , Bin Yang , Xiaopeng Shen , Yuting Yang , Zhi Hong Hang , Motohiko Ezawa

There have been considerable efforts devoted to the study of topological phases in certain non-Hermitian systems that possess real eigenfrequencies in the presence of gain and loss. However, it is challenging to experimentally realize such…

Mesoscale and Nanoscale Physics · Physics 2022-03-08 Shuo Liu , Shaojie Ma , Cheng Yang , Lei Zhang , Wenlong Gao , Yuan Jiang Xiang , Tie Jun Cui , Shuang Zhang

Robust boundary states epitomize how deep physics can give rise to concrete experimental signatures with technological promise. Of late, much attention has focused on two distinct mechanisms for boundary robustness - topological protection,…

Mesoscale and Nanoscale Physics · Physics 2021-12-30 Deyuan Zou , Tian Chen , Wenjing He , Jiacheng Bao , Ching Hua Lee , Houjun Sun , Xiangdong Zhang

We demonstrate that vacancies can induce topologically protected localized electronic excitations within the bulk of a topological insulator, and when sufficiently close, give rise to one-dimensional propagating chiral bulk modes. We show…

Mesoscale and Nanoscale Physics · Physics 2026-01-07 Cunyuan Jiang , Weicen Dong , Matteo Baggioli

Moir\'e superlattices provide a compelling platform for exploring exotic correlated physics. Electronic interference within these systems often results in flat bands with localized electrons, which are typically described by effective…

Mesoscale and Nanoscale Physics · Physics 2025-11-04 Xianliang Zhou , Yifan Gao , Laiyuan Su , Z. F. Wang , Li Huang , Angel Rubio , Zhiwen Shi , Lede Xian

Topological phase transitions can be remarkably induced purely by manipulating gain and loss mechanisms, offering a novel approach to engineering topological properties. Recent theoretical studies have revealed gain-loss-induced topological…

Mesoscale and Nanoscale Physics · Physics 2025-02-27 Jin Liu , Wei-Wu Jin , Zhao-Fan Cai , Xin Wang , Yu-Ran Zhang , Xiaomin Wei , Wenbo Ju , Zhongmin Yang , Tao Liu

Resonances in an electric circuit occur when capacitive and inductive components are present together. Such resonances appear in admittance measurements depending on the circuit's parameters and the driving AC frequency. In this study, we…

Mesoscale and Nanoscale Physics · Physics 2023-08-21 Haydar Sahin , Zhuo Bin Siu , S. M. Rafi-Ul-Islam , Jian Feng Kong , Mansoor B. A. Jalil , Ching Hua Lee

Non-Hermitian topological insulators have attracted considerable attention due to their distinctive energy band characteristics and promising applications. Here, we systematically investigate non-Hermitian M\"obius insulators and…

Mesoscale and Nanoscale Physics · Physics 2025-06-18 Wenjie Zhang , Yuting Yang , Xiaopeng Shen , Liwei Shi , Zhi Hong Hang

Periodically driven systems intertwined with non-Hermiticity opens a rich arena for topological phases that transcend conventional Hermitian limits. The physical significance of these phases hinges on obtaining the topological invariants…

Mesoscale and Nanoscale Physics · Physics 2026-01-23 Koustav Roy , Dipendu Halder , Koustabh Gogoi , B. Tanatar , Saurabh Basu

Integrated photonic systems provide a flexible platform where artificial lattices can be engineered in a reconfigurable fashion. Here, we show that one-dimensional photonic arrays with engineered losses allow the realization of topological…

We consider non-Hermitian dynamics of a quantum particle hopping on a one-dimensional tight-binding lattice made of $N$ sites with asymmetric hopping rates induced by a time-periodic oscillating imaginary gauge field. A deeply different…

Quantum Physics · Physics 2016-08-10 Stefano Longhi

Acoustic systems that are without limitations imposed by the Fermi level have been demonstrated as significant platform for the exploration of fruitful topological phases. By surrounding the nontrivial domain with trivial "environment", the…

Applied Physics · Physics 2021-06-30 An-Yang Guan , Zhang-Zhao Yang , Xin-Ye Zou , Jian-Chun Cheng

The system of spinless fermions on a hexagonal lattice is studied . We have considered tight-binding model with the hopping integrals between the nearest-neighbor and next-nearest-neighbor lattice sites, that depend on the direction of the…

Strongly Correlated Electrons · Physics 2017-04-27 Igor N. Karnaukhov

Circuits provide ideal platforms of topological phases and matter, yet the study of topological circuits in the strongly nonlinear regime, has been lacking. We propose and experimentally demonstrate strongly nonlinear topological phases and…

Mesoscale and Nanoscale Physics · Physics 2023-07-03 Jijie Tang , Fangyuan Ma , Feng Li , Honglian Guo , Di Zhou

Motivated by experimental progress in the growth of heavy transition metal oxides, we theoretically study a class of lattice models of interacting fermions with strong spin-orbit coupling. Focusing on interactions of intermediate strength,…

Strongly Correlated Electrons · Physics 2014-01-14 Joseph Maciejko , Victor Chua , Gregory A. Fiete

We investigate a one-dimensional superconducting lattice that realizes all internal symmetries permitted in non-Hermitian systems, characterized by nonreciprocal hopping, onsite dissipation, and $s$-wave singlet pairing in a…

Mesoscale and Nanoscale Physics · Physics 2026-02-19 Chuo-Kai Chang , Kazuma Saito , Nobuyuki Okuma , Hsien-Chung Kao , Chen-Hsuan Hsu