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Related papers: Higher-order Topological Anderson Insulators

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The properties of topological systems are inherently tied to their dimensionality. Higher-dimensional physical systems exhibit topological properties not shared by their lower dimensional counterparts and, in general, offer richer physics.…

Mesoscale and Nanoscale Physics · Physics 2019-12-16 Kai Chen , Matthew Weiner , Mengyao Li , Xiang Ni , Andrea Alù , Alexander B. Khanikaev

Topological insulators interacting with magnetic impurities have been reported to host several unconventional effects. These phenomena are described within the framework of gapping Dirac quasiparticles due to broken time-reversal symmetry.…

We theoretically propose a second-order topological magnon insulator by stacking the van der Waals honeycomb ferromagnets with antiferromagnetic interlayer coupling. The system exhibits Z$_{2}$ topological phase, protected by…

Mesoscale and Nanoscale Physics · Physics 2022-08-03 Yun-Mei Li , Ya-Jie Wu , Xi-Wang Luo , Yongwei Huang , Kai Chang

Higher-order topological insulators are a new class of topological phases of matter, originally conceived for electrons in solids. It has been suggested that $\mathbb{Z}_N$ Berry phase (Berry phase quantized into $2\pi/N$) is a useful tool…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Huanhuan Yang , Z. -X. Li , Yuanyuan Liu , Yunshan Cao , Peng Yan

In this paper we explore the effects of quasiperiodicity in paradigmatic models of Chern insulators. We identify a plethora of topological phase transitions and characterize them based on spectral and localization properties. Contrary to…

Disordered Systems and Neural Networks · Physics 2022-12-16 Tiago S. Gonçalves , Miguel Gonçalves , Pedro Ribeiro , Bruno Amorim

We demonstrate that a combination of disorder and interactions in a two-dimensional bulk topological insulator can generically drive its helical edge insulating. We establish this within the framework of helical Luttinger liquid theory and…

Strongly Correlated Electrons · Physics 2018-08-24 Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky

We study transport properties and topological phase transition in two-dimensional interacting disordered systems. Within dynamical mean-field theory, we derive the Hall conductance, which is quantized and serves as a topological invariant…

Disordered Systems and Neural Networks · Physics 2019-03-27 Jun-Hui Zheng , Tao Qin , Walter Hofstetter

We show that proximity to an altermagnet provides an efficient route to engineering non-Hermitian higher-order topological phases. The proximity-induced altermagnetic order gaps the edge states of a topological insulator, thereby driving a…

Mesoscale and Nanoscale Physics · Physics 2026-01-08 Xiang Ji , Dengfeng Wang , Tong Zhou , Xiaosen Yang

Three-dimensional topological insulators (3D-TIs) possess a specific topological order of electronic bands, resulting in gapless surface states via bulk-edge correspondence. Exotic phenomena have been realized in ferromagnetic TIs, such as…

Materials Science · Physics 2020-04-29 Y. Satake , J. Shiogai , G. P. Mazur , S. Kimura , S. Awaji , K. Fujiwara , T. Nojima , K. Nomura , S. Souma , T. Sato , T. Dietl , A. Tsukazaki

We study the ground state phase diagram of the Anderson-Hubbard model with correlated hopping at half filling in one-dimension. The Hamiltonian has a local Coulomb repulsion $U$ and a disorder potential with local energies randomly…

Strongly Correlated Electrons · Physics 2017-07-19 Francesca Battista , Alberto Camjayi , Liliana Arrachea

Symmetry and topology are essential principles in topological physics. Recently, the idea of sub-symmetry-protected topology -- where some of the original symmetries are broken while a remaining subset, called sub-symmetries, continues to…

Mesoscale and Nanoscale Physics · Physics 2026-01-09 Myungjun Kang , Wonjun Sung , Sonu Verma , Sangmo Cheon

Higher-dimensional topological phases play a key role in understanding the lower-dimensional topological phases and the related topological responses through a dimensional reduction procedure. In this work, we present a Dirac-type model of…

Mesoscale and Nanoscale Physics · Physics 2022-11-11 Yan-Qing Zhu , Zhen Zheng , Giandomenico Palumbo , Z. D. Wang

We examine the transport properties of magnetically doped topological insulator (TI) thin films subject to correlated non-magnetic disorder. For the disorder we choose a quasi-periodic potential with a random phase. We restrict the disorder…

Mesoscale and Nanoscale Physics · Physics 2022-07-26 Takuya Okugawa , Tanay Nag , Dante M. Kennes

The quadrupole insulator is a well-known instance of higher-order topological insulators in two dimensions, which possesses midgap corner states in both the energy spectrum and entanglement spectrum. Here, by constructing and exploring a…

Mesoscale and Nanoscale Physics · Physics 2023-07-04 Yu-Liang Tao , Jiong-Hao Wang , Yong Xu

We analyse the topological transition and localization evolution of disordered two dimensional systems with non trivial topology based on bipartite lattices. Chern insulators with broken time reversal symmetry show non standard behavior for…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Eduardo V. Castro , M. Pilar López-Sancho , María A. H. Vozmediano

Topological insulators [1-6] is a new quantum phase of matter with exotic properties such as dissipationless transport and protection against Anderson localization [7]. These new states of quantum matter could be one of the missing links…

Materials Science · Physics 2010-07-29 M. Klintenberg

We present theoretical and experimental results probing the rich topological structure of arbitrarily disordered finite tight binding Hamiltonians with chiral symmetry. We extend the known classification by considering the topological…

Mesoscale and Nanoscale Physics · Physics 2025-05-19 Maxine M. McCarthy , D. M. Whittaker

We study the half-filled Haldane model with Anderson and binary disorder and determine its phase diagram, as a function of the Haldane flux and staggered sub-lattice potential, for increasing disorder strength. We establish that disorder…

Strongly Correlated Electrons · Physics 2018-07-31 Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro

We explore the interplay of disorder and topological phenomena in honeycomb lattices of atoms coupled by the electromagnetic field. On the one hand, disorder can trigger transitions between distinct topological phases and drive the lattice…

Quantum Physics · Physics 2022-04-22 S. E. Skipetrov , P. Wulles

Higher-order topological insulators are a recently discovered class of materials that can possess zero-dimensional localized states regardless of the dimension of the lattice. Here, we experimentally demonstrate that the topological…