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By using an extended slave-boson method, we draw a global phase diagram summarizing both magnetic phases and paramagnetic (PM) topological insulating phases (TI$_s$) in three-dimensional topological Kondo insulator (TKI). By including…

Strongly Correlated Electrons · Physics 2018-12-26 Huan Li , Zhi-Yong Wang , Xiao-Jun Zheng , Yu Liu , Yin Zhong

We present a recipe for an electronic 2D higher order topological insulator (HOTI) on the triangular lattice that can be realized in a large family of materials. The essential ingredient is mirror symmetry breaking, which allows for a…

Mesoscale and Nanoscale Physics · Physics 2023-03-29 Philipp Eck , Yuan Fang , Domenico Di Sante , Giorgio Sangiovanni , Jennifer Cano

The recent discovery of higher-order topological insulators (TIs) has opened new possibilities in the search for novel topological materials and metamaterials. Second-order TIs have been implemented in two-dimensional (2D) systems…

Mesoscale and Nanoscale Physics · Physics 2019-07-03 Haoran Xue , Yahui Yang , Guigeng Liu , Fei Gao , Yidong Chong , Baile Zhang

The layered semimetal WTe_2 has recently been found to be a two-dimensional topological insulator (2D TI) when thinned down to a single monolayer, with conducting helical edge channels. We report here that intrinsic superconductivity can be…

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

The possibility of selecting magnetic space groups by orienting the magnetization direction or tuning magnetic orders offers a vast playground for engineering symmetry protected topological phases in magnetic materials. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2024-11-11 Ilyoun Na , Marc Vila , Sinéad M. Griffin

Topological insulators insulate in the bulk but exhibit robust conducting edge states protected by the topology of the bulk material. Here, we design a colloidal topological insulator and demonstrate experimentally the occurrence of edge…

The higher-order topological insulators (HOTIs), with such as the topological corner states, emerge as a thriving topic in the field of topological physics. But few connections have been found for the HOTIs with the well explored…

Mesoscale and Nanoscale Physics · Physics 2022-02-25 Xueqin Huang , Jiuyang Lu , Zhongbo Yan , Mou Yan , Weiyin Deng , Gang Chen , Zhengyou Liu

Topological insulators support metallic surface states whose existence is protected by the bulk band structure. It has been predicted early that the topology of the surface state Fermi contour should depend on several factors, such as the…

Strongly Correlated Electrons · Physics 2014-08-07 Xie-Gang Zhu , Philip Hofmann

Topological insulators are new states of matter with a bulk gap and robust gapless surface states protected by time-reversal symmetry. When time-reversal symmetry is broken, the surface states are gapped, which induces a topological…

Materials Science · Physics 2015-03-20 Weidong Luo , Xiao-Liang Qi

We introduce higher order polariton topological insulator (HOTI) realized with fractal array of microcavity pillars arranged into Sierpinski gasket-like geometry. This system exhibiting self similarity in different generations, can support…

Optics · Physics 2025-11-27 Khalil Sabour , Yaroslav V. Kartashov

The search for exotic new topological states of matter in widely accessible materials, for which the manufacturing process is mastered, is one of the major challenges of the current topological physics. Here we predict higher order…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 Sergey S. Krishtopenko

Higher-order topological phases feature topologically protected boundary states in lower dimensions. Specifically, the zero-dimensional corner states are protected by the $d$th-order topology of a $d$-dimension system. In this work, we…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 Linhu Li , Muhammad Umer , Jiangbin Gong

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…

The interplay between crystalline symmetry and band topology gives rise to unprecedented lower-dimensional boundary states in higher-order topological insulators (HOTIs). However, the measurement of the topological invariants of HOTIs…

Mesoscale and Nanoscale Physics · Physics 2024-12-06 Ling Lin , Chaohong Lee

Most topological insulators discovered today in spinful systems can be transformed from topological semimetals (TSMs) with vanishing bulk gap via introducing the spin-orbit coupling (SOC), which manifests the intrinsic links between the…

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…

Recently, high-order topological insulators (HOTIs), accompanied by topologically nontrivial boundary states with codimension larger than one, have been extensively explored because of unconventional bulk-boundary correspondences. As a…

We found that non-magnetic defects in two-dimensional topological insulators induce bound states of two kinds for each spin orientation: electron- and hole-like states. Depending on the sign of the defect potential these states can be also…

Mesoscale and Nanoscale Physics · Physics 2015-02-17 Vladimir A. Sablikov , Aleksei A. Sukhanov

We introduce a novel class of interaction-enabled topological crystalline insulators in two- and three-dimensional electronic systems, which we call "topological crystalline magnet." It is protected by the product of the time-reversal…

Strongly Correlated Electrons · Physics 2017-03-08 Haruki Watanabe , Liang Fu