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The combination of magnetism and topology in magnetic topological insulators (MTIs) has led to unprecedented advancements of time reversal symmetry-breaking topological quantum physics in the past decade. Compared with the uniform films,…

Mesoscale and Nanoscale Physics · Physics 2021-02-26 Qi Yao , Yuchen Ji , Peng Chen , Qing-Lin He , Xufeng Kou

Topological insulators (TIs) are a class of materials which are insulating in their bulk form yet, upon introduction of an a boundary or edge, e.g. by abruptly terminating the material, may exhibit spontaneous current along their boundary.…

Mathematical Physics · Physics 2022-01-28 Jacob Shapiro , Michael I. Weinstein

We have performed a systematic investigation of the formation of topologically protected boundary states (TPBS) in topological/normal insulators (TI/NI) heterostructures. Using a recently developed scheme to construct {\it ab-initio}…

Materials Science · Physics 2018-03-26 M. Costa , A. T. Costa , Walter A. Freitas , Tome M. Schmidt , M. Buongiorno Nardelli , A. Fazzio

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…

Topological insulators in three dimensions are nonmagnetic insulators that possess metallic surface states as a consequence of the nontrivial topology of electronic wavefunctions in the bulk of the material. They are the first known…

Strongly Correlated Electrons · Physics 2012-01-26 M. Zahid Hasan , Joel E. Moore

Topological Insulators (TIs) exhibit exciting optical properties, which opens up a new pathway to generate ultrashort pulses from fiber lasers. Layered TIs display distinct saturable absorption property due to excited state absorption, as…

Materials Science · Physics 2021-05-20 Shyamal Mondal , Rounak Ganguly , Krishnakanta Mondal

Topologically gapless edge states, characterized by topological invariants and Berry's phases of bulk energy bands, provide amazing techniques to robustly control the reflectionless propagation of electrons, photons and phonons. Recently, a…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Haiyan Fan , Baizhan Xia , Liang Tong , Shengjie Zheng , Dejie Yu

In an ideal 3D topological insulator (TI), the bulk is insulating and the surface conducting due to the existence of metallic states that are localized on the surface; these are the topological surface states. Quaternary Bi-based compounds…

Study of the dephasing in electronic systems is not only important for probing the nature of their ground states, but also crucial to harnessing the quantum coherence for information processing. In contrast to well-studied conventional…

Mesoscale and Nanoscale Physics · Physics 2017-07-14 Jian Liao , Yunbo Ou , Haiwen Liu , Ke He , Xucun Ma , Qi-Kun Xue , Yongqing Li

Using first-principles calculations within density functional theory, we explore the feasibility of converting ternary half-Heusler compounds into a new class of three-dimensional topological insulators (3DTI). We demonstrate that the…

Materials Science · Physics 2010-10-07 Di Xiao , Yugui Yao , Wanxiang Feng , Jun Wen , Wenguang Zhu , Xingqiu Chen , G. Malcolm Stocks , Zhenyu Zhang

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

The notion of topological insulators (TIs), characterized by an insulating bulk and conducting topological surface states, can be extended to higher-order topological insulators (HOTIs) hosting gapless modes localized at the boundaries of…

The defining feature of topological insulators is that their valence states are not continuously deformable to a suitably defined atomic limit without breaking the symmetry or closing the energy gap. When the atomic limit is given by…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Zoltán Guba , Aris Alexandradinata , Tomáš Bzdušek

Quantum spin Hall (QSH) insulators have attracted intensive experimental and theoretical studies due to their beneficial applications in spintronic devices. Density functional theory (DFT) meets challenges when describing the electronic…

Materials Science · Physics 2024-06-19 Li Yin , Hong Tang , Adrienn Ruzsinszky

Topological insulators (TI) are a new class of quantum materials with insulating bulk enclosed by topologically protected metallic boundaries. The surface states of three-dimensional TIs have spin helical Dirac structure, and are robust…

Commonly materials are classified as either electrical conductors or insulators. The theoretical discovery of topological insulators (TIs) in 2005 has fundamentally challenged this dichotomy. In a TI, spin-orbit interaction generates a…

We investigate correlation effects in two dimensional topological insulators (TI). In the first part, we discuss finite size effects for interacting systems of different sizes in a ribbon geometry. For large systems, there are two pairs of…

Strongly Correlated Electrons · Physics 2015-06-04 Y. Tada , R. Peters , M. Oshikawa , A. Koga , N. Kawakami , S. Fujimoto

A topological insulator possesses a bulk energy gap splitting the lowest empty band from the highest occupied electronic band. The electronic states at the surface (or edge in two dimensions), on the other hand, of a topological insulator…

Materials Science · Physics 2020-05-28 Md. Asif Afzal , S. H. Naqib

In the past few years there has been a surge in the material science engineering in order to synthesize bulk insulating and surface metallic Topological Insulating (TI) materials. This quest is not only theoretically important but also…

Strongly Correlated Electrons · Physics 2016-11-10 Sourabh Singh , R K Gopal , Jit Sarkar , C. Mitra

Two-dimensional (2D) topological insulators (TIs) with a large bulk band-gap are promising for experimental studies of the quantum spin Hall effect and for spintronic device applications. Despite considerable theoretical efforts in…