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The possibility of realizing topological insulators by spontaneous formation of electronic superstructure is theoretically investigated in a minimal two-orbital model including both the spin-orbit coupling and electron correlations on a…

Strongly Correlated Electrons · Physics 2016-06-21 Yusuke Sugita , Yukitoshi Motome

The rich variety of crystalline symmetries in solids leads to a plethora of topological crystalline insulators (TCIs) featuring distinct physical properties, which are conventionally understood in terms of bulk invariants specialized to the…

Strongly Correlated Electrons · Physics 2018-09-19 Eslam Khalaf , Hoi Chun Po , Ashvin Vishwanath , Haruki Watanabe

The recent realization of photonic topological insulators has brought the discovery of fundamentally new states of light and revolutionary applications such as non-reciprocal devices for photonic diodes and robust waveguides for light…

Optics · Physics 2019-08-05 Xiao-Dong Chen , Jian-Wen Dong

The appearance of topologically protected states at the surface of an ordinary insulator is a rare occurrence and to date only a handful of materials are known for having this property. An intriguing question concerns the possibility of…

Mesoscale and Nanoscale Physics · Physics 2014-07-16 Igor Popov , Mauro Mantega , Awadhesh Narayan , Stefano Sanvito

We describe a three-dimensional crystalline topological insulator (TI) phase of matter that exhibits spontaneous polarization. This polarization results from the presence of (approximately) flat bands on the surface of such TIs. These flat…

Materials Science · Physics 2021-06-16 J. Nissinen , Tero T. Heikkila , G. E. Volovik

The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the $d$-dimension insulating bulk is confined to ($d-1$)-dimensions, led to several potential applications. Recently, it…

In typical topological insulator (TI) systems the TI is bordered by a non-TI insulator, and the surrounding conventional insulators, including vacuum, are not generally treated as part of the TI system. Here, we implement the first material…

We study time-reversal-invariant topological superconductivity in topological insulator (TI) thin films including both intra- and inter-surface pairing. We find a nontrivial topology for multiple different configurations. For intra-surface…

Superconductivity · Physics 2017-11-17 Fariborz Parhizgar , Annica M. Black-Schaffer

Topological insulators (TIs) are materials that have a bulk electronic band gap like an ordinary insulator but have protected conducting states on their surface. One of the most interesting properties of TIs is their spin helicity, whereby…

Mesoscale and Nanoscale Physics · Physics 2013-07-19 Xuetao Zhu , Colin Howard , Jiandong Guo , Michael El-Batanouny

Higher-order topological insulators are established as topological crystalline insulators protected by crystalline symmetries. One celebrated example is the second-order topological insulator in three dimensions that hosts chiral hinge…

Mesoscale and Nanoscale Physics · Physics 2021-05-21 Jiong-Hao Wang , Yan-Bin Yang , Ning Dai , Yong Xu

Based on first-principles calculations and tight-binding model analysis, we propose monolayer graphdiyne as a candidate material for a two-dimensional higher-order topological insulator protected by inversion symmetry. Despite the absence…

Materials Science · Physics 2020-01-30 Eunwoo Lee , Rokyeon Kim , Junyeong Ahn , Bohm-Jung Yang

The scientific interest in two-dimensional topological insulators (2D TIs) is currently shifting from a more fundamental perspective to the exploration and design of novel functionalities. Key concepts for the use of 2D TIs in spintronics…

Spin orbit coupling changes graphene, in principle, into a two-dimensional topological insulator, also known as quantum spin Hall insulator. One of the expected consequences is the existence of spin-filtered edge states that carry…

Mesoscale and Nanoscale Physics · Physics 2015-06-04 D. Gosálbez-Martínez , D. Soriano , J. J. Palacios , J. Fernández-Rossier

Motivated by the study of stacking faults in weak topological insulators and the observation of magnetic domain walls in MnBi$_{2n}$Te$_{3n+1}$, we explore the topological properties of magnetic domain walls in antiferromagnetic topological…

Mesoscale and Nanoscale Physics · Physics 2025-09-17 Gabriele Naselli , Ion Cosma Fulga

We demonstrate the existence of topological insulators in one dimension protected by mirror and time-reversal symmetries. They are characterized by a nontrivial $\mathbb{Z}_2$ topological invariant defined in terms of the "partial"…

Mesoscale and Nanoscale Physics · Physics 2016-10-27 Alexander Lau , Jeroen van den Brink , Carmine Ortix

In the recently discovered class of materials known as topological insulators, the presence of strong spin-orbit coupling causes certain topological invariants in the bulk to differ from their values in vacuum. The sudden change of…

Time Reversal Symmetry (TRS) broken topological phases provide gapless surface states protected by topology, regardless of additional internal symmetries, spin or valley degrees of freedom. Despite the numerous demonstrations of 2D…

Two-dimensional topological insulators (2D TIs) have been proposed as platforms for many intriguing applications, ranging from spintronics to topological quantum information processing. Realizing this potential will likely be facilitated by…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Jun Hu , Jason Alicea , Ruqian Wu , Marcel Franz

Controlling magnetic order in magnetic topological insulators (MTIs) is a key to developing spintronic applications with MTIs, and is commonly achieved by changing the magnetic doping concentration, which inevitably affects…

Mesoscale and Nanoscale Physics · Physics 2021-07-30 Xiong Yao , Hee Taek Yi , Deepti Jain , Myung-Geun Han , Seongshik Oh

Topological crystalline insulators (TCIs) possess metallic surface states protected by crystalline symmetry, which are a versatile platform for exploring topological phenomena and potential applications. However, progress in this field has…

Mesoscale and Nanoscale Physics · Physics 2017-10-17 Ying Wang , Guoyu Luo , Junwei Liu , R. Sankar , Nan-Lin Wang , Fangcheng Chou , Liang Fu , Zhiqiang Li
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