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Topological insulators (TI) are materials having an energy band gap in the bulk and conducting helical electronic states on the surface. The helical states are protected by time reversal symmetry thus are expected to be robust against…

Mesoscale and Nanoscale Physics · Physics 2012-11-26 Xue-Feng Wang , Yibin Hu , Hong Guo

Topological insulators (TI) are bulk insulators that possess robust chiral conducting states along their interfaces with normal insulators. A tremendous research effort has recently been devoted to TI-based heterostructures, in which…

Mesoscale and Nanoscale Physics · Physics 2014-03-05 Gufeng Zhang , Xiaoguang Li , Guangfen Wu , Jie Wang , Dimitrie Culcer , Efthimios Kaxiras , Zhenyu Zhang

The recent discovery of topological insulator (TI) offers new opportunities for the development of thermoelectrics, because many TIs (like Bi$_2$Te$_3$) are excellent thermoelectric (TE) materials. In this review, we will first describe the…

Materials Science · Physics 2016-10-26 Yong Xu

Topological materials host fascinating low dimensional gapless states at the boundary. As a prominent example, helical topological edge states (TESs) of two-dimensional topological insulators (2DTIs) and their stacked three-dimensional (3D)…

2D topological insulators promise novel approaches towards electronic, spintronic, and quantum device applications. This is owing to unique features of their electronic band structure, in which bulk-boundary correspondences enforces the…

Motivated by experiments on atomically smooth layers of LaTiO$_3$, a Mott insulator, sandwiched between layers of SrTiO$_3$, a band insulator, a simple model for such heterostructures is studied using quasi one-dimensional lattices and the…

Strongly Correlated Electrons · Physics 2009-11-11 S. S. Kancharla , E. Dagotto

Topological band insulators which are dynamically generated by electron-electron interactions have been the- oretically proposed in two and three dimensional lattice models. We present evidence that the two-dimensional version can be…

Strongly Correlated Electrons · Physics 2011-11-15 Andreas Rüegg , Gregory A. Fiete

Spinodal decomposition is proposed for stabilizing self-assembled interfaces between topological insulators (TIs) by combining layers of iso-structural and iso-valent TlBi$X_2$ ($X$=S, Se, Te) materials. The composition range for gapless…

Higher order topological insulators (HOTIs) are a novel form of insulating quantum matter, which are characterized by having gapped boundaries that are separated by gapless corner or hinge states. Recently, it has been proposed that the…

Strongly Correlated Electrons · Physics 2021-08-25 Julian May-Mann , Taylor L. Hughes

Topological insulators (TIs) are bulk insulators with exotic 'topologically protected' surface conducting modes. It has recently been pointed out that when stacked together, interactions between surface modes can induce diverse phases…

We develop a unified view of topological phase transitions (TPTs) in solids by revising the classical band theory with the inclusion of topology. Re-evaluating the band evolution from an "atomic crystal" [a normal insulator (NI)] to a solid…

Materials Science · Physics 2020-05-11 Huaqing Huang , Feng Liu

In integrating topological insulators (TIs) with conventional materials, one crucial issue is how the topological surface states (TSS) will behave in such heterostructures. We use first-principles approaches to establish accurate tunability…

Materials Science · Physics 2013-01-23 Guangfen Wu , Hua Chen , Yan Sun , Xiaoguang Li , Ping Cui , Cesare Franchini , Jinlan Wang , Xing-Qiu Chen , Zhenyu Zhang

We theoretically investigate a two-dimensional heterostructure composed of a topological insulator (TI) and a Mott insulator (MI), and clarify what kind of electronic states can be realized at the interface. By using inhomogeneous dynamical…

Strongly Correlated Electrons · Physics 2013-09-13 Suguru Ueda , Norio Kawakami , Manfred Sigrist

Higher-order topological insulators have a modified bulk-boundary correspondence compared to other topological phases: instead of gapless edge or surface states, they have gapped edges and surfaces, but protected modes at corners or hinges.…

Strongly Correlated Electrons · Physics 2018-12-12 Yizhi You , Trithep Devakul , F. J. Burnell , Titus Neupert

Photonic topological insulators exhibit bulk-boundary correspondence, which requires that boundary-localized states appear at the interface formed between topologically distinct insulating materials. However, many topological photonic…

Optics · Physics 2023-11-30 Kahlil Y. Dixon , Terry A. Loring , Alexander Cerjan

Introducing, observing, and manipulating individual impurities coupled to a host material offers the opportunity to create new device concepts based on single spin and charge states. Because of potential applications in spintronics and…

Mesoscale and Nanoscale Physics · Physics 2016-09-29 Paolo Sessi , Thomas Bathon , Konstantin A. Kokh , Oleg E. Tereshchenko , Matthias Bode

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 (TIs) are a new quantum state of matter which have gapless surface states inside the bulk energy gap. Starting with the discovery of two dimensional TIs, the HgTe-based quantum wells, many new topological materials…

Materials Science · Physics 2012-12-03 Lukas Müchler , Frederick Casper , Binghai Yan , Stanislav Chadov , Claudia Felser

Topological insulators (TIs) are a striking example of materials in which topological invariants are manifested in robustness against perturbations. Their most prominent feature is the emergence of topological edge states with reduced…

Mesoscale and Nanoscale Physics · Physics 2018-11-21 S. Klembt , T. H. Harder , O. A. Egorov , K. Winkler , R. Ge , M. A. Bandres , M. Emmerling , L. Worschech , T. C. H. Liew , M. Segev , C. Schneider , S. Höfling

Engineered lattices in condensed matter physics, such as cold atom optical lattices or photonic crystals, can have fundamentally different properties from naturally-occurring electronic crystals. Here, we report a novel type of artificial…