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Related papers: Topological Corner States in Graphene by Bulk and …

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Bulk-edge correspondence, with quantized bulk topology leading to protected edge states, is a hallmark of topological states of matter and has been experimentally observed in electronic, atomic, photonic, and many other systems. While…

We investigate the ground-state phase diagram of a modified spinless Haldane-Hubbard model with broken threefold rotational symmetry, employing exact diagonalization calculations. The interplay of asymmetry, interactions, and topology gives…

Strongly Correlated Electrons · Physics 2023-05-03 Tian-Cheng Yi , Hai-Qing Lin , Rubem Mondaini

We numerically and experimentally study corner states in a continuous elastic plate with em-bedded bolts in a hexagonal pattern. While preserving C6 crystalline symmetry, the system can transition from a topologically trivial to a…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 Chun-Wei Chen , Rajesh Chaunsali , Johan Christensen , Georgios Theocharis , Jinkyu Yang

We derive a model of localized edge states in the finite width strip for two-dimensional electron gas formed in the hybrid system of bismuth monolayer deposited on the silicon interface and described by the nearly-free electron model with…

Mesoscale and Nanoscale Physics · Physics 2014-04-09 D. V. Khomitsky , A. A. Chubanov

In this work, we study the disorder effects on the bulk-boundary correspondence of two-dimensional higher-order topological insulators (HOTIs). We concentrate on two cases: (i) bulk-corner correspondence, (ii) edge-corner correspondence.…

Disordered Systems and Neural Networks · Physics 2021-09-13 Yu-Song Hu , Yue-Ran Ding , Jie Zhang , Zhi-Qiang Zhang , Chui-Zhen Chen

A topological boundary can be formed at the interface between a trivial and a topological insulator. The difference in the topological index across the junction leads to robust gapless surface states. Optical studies of these states are…

Mesoscale and Nanoscale Physics · Physics 2018-08-29 A. Diaz-Fernandez , N. del Valle , E. Diaz , F. Dominguez-Adame

We use the bulk Hamiltonian for a three-dimensional topological insulator such as $\rm Bi_2 Se_3$ to study the states which appear on its various surfaces and along the edge between two surfaces. We use both analytical methods based on the…

Mesoscale and Nanoscale Physics · Physics 2015-06-18 Oindrila Deb , Abhiram Soori , Diptiman Sen

Topological insulators are new quantum states with helical gapless edge or surface states inside the bulk band gap.These topological surface states are robust against the weak time-reversal invariant perturbations, such as lattice…

Mesoscale and Nanoscale Physics · Physics 2013-08-07 Haijun Zhang , Shou-Cheng Zhang

Topological systems are inherently robust to disorder and continuous perturbations, resulting in dissipation-free edge transport of electrons in quantum solids, or reflectionless guiding of photons and phonons in classical wave systems…

Materials Science · Physics 2018-07-04 Xiang Ni , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

We study the topological phase in dipolar-coupled two-dimensional breathing square lattice of magnetic vortices. By evaluating the quantized Chern number and $\mathbb{Z}_{4}$ Berry phase, we obtain the phase diagram and identify that the…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Z. -X. Li , Yunshan Cao , X. R. Wang , Peng Yan

Topologically protected corner states serve as a key indicator for two-dimensional higher-order topological insulators, yet they have not been experimentally identified in realistic materials. Here, by utilizing the effective tight-binding…

Mesoscale and Nanoscale Physics · Physics 2024-10-15 Xiaolin Wan , Junjie Zeng , Ruixiang Zhu , Dong-Hui Xu , Baobing Zheng , Rui Wang

We propose that a spin-dependent second-order topological insulator can be realized in monolayer FeSe/GdClO heterostructure, in which substrate GdClO helps to stabilize and enhance the antiferromagnetic order in FeSe. The second-order…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Qing Wang , Rui Song , Ning Hao

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

Topological insulators are a new class of insulators in which a bulk gap for electronic excitations is generated by strong spin orbit coupling. These novel materials are distinguished from ordinary insulators by the presence of gapless…

Higher-order topological insulators have triggered great interests because of exhibitions of non-trivial bulk topology on lower-dimensional boundaries like corners and hinges. While such interesting phases have been investigated in a…

Mesoscale and Nanoscale Physics · Physics 2023-01-11 Ya-Jie Wu , Wen He , Ning Li , Zhitong Li , Junpeng Hou

Topological insulators in the Bi$_2$Se$_3$ family manifest helical Dirac surface states that span the topologically ordered bulk band gap. Recent scanning tunneling microscopy measurements have discovered additional states in the bulk band…

Materials Science · Physics 2018-08-01 Yishuai Xu , Guodong Jiang , Janet Chiu , Lin Miao , Erica Kotta , Yutan Zhang , Rudro R. Biswas , L. Andrew Wray

Topological insulators with unique gapless edge states have revolutionized the understanding of electronic properties in solid materials. These gapless edge states are dictated by the topological invariants associated with the quantization…

Mesoscale and Nanoscale Physics · Physics 2019-06-05 Xiujuan Zhang , Hai-Xiao Wang , Zhi-Kang Lin , Yuan Tian , Biye Xie , Ming-Hui Lu , Yan-Feng Chen , Jian-Hua Jiang

Second-order topological insulators can be characterized by their bulk polarization, which is believed to be intrinsically connected to the center of the Wannier function. In this study, we demonstrate the existence of second-order…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Zhenzhen Liu , Xiaoxi Zhou , Guochao Wei , Lei Gao , Bo hou , Jun-Jun Xiao

Spin-orbit coupled materials have attracted revived prominent research interest as of late, especially due their direct connection with topological notions. Arguably, a hallmark of this pursuit is formed by the concept of the topological…

Mesoscale and Nanoscale Physics · Physics 2019-07-29 Robert-Jan Slager

Topological phases with insulating bulk and gapless surface or edge modes have attracted much attention because of their fundamental physics implications and potential applications in dissipationless electronics and spintronics. In this…

Materials Science · Physics 2016-05-18 Yafei Ren , Zhenhua Qiao , Qian Niu