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We present an exact solution of a modifed Dirac equation for topological insulator in the presence of a hole or vacancy to demonstrate that vacancies may induce bound states in the band gap of topological insulators. They arise due to the…

Mesoscale and Nanoscale Physics · Physics 2011-07-22 Wen-Yu Shan , Jie Lu , Hai-Zhou Lu , Shun-Qing Shen

Topological Insulators (TIs) present an interesting materials platform for nanoscale, high frequency devices because they support high mobility, low scattering electronic transport within confined surface states. However, a robust…

The search for large band gap systems with dissipationless edge states is essential to developing materials that function under a wide range of temperatures. Two-dimensional (2D) topological insulators (TIs) have recently attracted…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Lauryn Wu , Kunming Gu , Qiliang Li

Controlling the flow of spin and charge currents in topological insulators (TIs) is a crucial requirement for applications in quantum computation and spin electronics. We demonstrate that such control can be established in nanoscopic…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 John S. Van Dyke , Dirk K. Morr

Surface states of topological insulators (TIs) have been playing the central role in the majority of outstanding investigations in low-dimensional electron systems for more than 10 years. TIs based on high-quality strained HgTe films…

Mesoscale and Nanoscale Physics · Physics 2019-05-15 M. L. Savchenko , D. A. Kozlov , N. N. Vasilev , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky , A. V. Kolesnikov

An insulator-to-metal transition is observed in trilayer graphene based on the temperature dependence of the resistance under different applied gate voltages. At small gate voltages the resistance decreases with increasing temperature due…

Mesoscale and Nanoscale Physics · Physics 2012-08-27 Richard S. Thompson , Yi-Chen Chang , Jia G. Lu

The topological magnetoelectric effect (TME) in three-dimensional topological insulators (TIs), described by $\Delta P = \frac{e^2}{2h} N_{\rm Ch}^{(2)} \Delta B$, serves as a condensed-matter realization of the four-dimensional quantum…

Mesoscale and Nanoscale Physics · Physics 2026-03-06 Yuanze Li , Renfei Wang , Yifan Zhang , Jiahao Chen , Yingdong Deng , Jin Xie , Xufeng Kou , Yang Liu , Tian Liang

The thermoelectric response of HgTe quantum wells in the state of two-dimensional topological insulator (2D TI) has been studied experimentally. Ambipolar thermopower, typical for an electron-hole system, has been observed across the charge…

Mesoscale and Nanoscale Physics · Physics 2018-12-24 G. M. Gusev , O. E. Raichev , E. B. Olshanetsky , A. D. Levin , Z. D. Kvon , N. N. Mikhailov , S. A. Dvoretsky

Thin films of topological insulators (TI) usually exhibit multiple parallel conduction channels for the transport of electrical current. Beside the topologically protected surface states (TSS), parallel channels may exist, namely the…

Mesoscale and Nanoscale Physics · Physics 2024-01-30 Sven Just , Felix Lüpke , Vasily Cherepanov , F. Stefan Tautz , Bert Voigtländer

The interaction between an electron and an elastic wave is investigated for HgTe and InAs-GaSb quantum wells. The well-known Bernevig-Hughes-Zhang model, i.e., the $4\times 4$ model for a two-dimensional (2D) topological insulator (TI), is…

Mesoscale and Nanoscale Physics · Physics 2015-12-14 Xiaoguang Wu

Lattice defects such as stacking faults may obscure electronic topological features of real materials. In fact, defects are a source of disorder that can enhance the density of states and conductivity of the bulk of the system and they…

Mesoscale and Nanoscale Physics · Physics 2022-10-05 Gabriele Naselli , Viktor Könye , Sanjib Kumar Das , G. G. N. Angilella , Anna Isaeva , Jeroen van den Brink , Cosma Fulga

We provide a characterization of tunneling between coupled topological insulators in 2D and 3D under the influence of a ferromagnetic layer. We explore conditions for such systems to exhibit integer quantum Hall physics and localized…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Qinglei Meng , Smitha Vishveshwara , Taylor L. Hughes

Three-dimensional topological insulators (TIs) are a perfectly tuned quantum-mechanical machinery in which counter-propagating and oppositely spin-polarized conduction channels balance each other on the surface of the material. This…

Mesoscale and Nanoscale Physics · Physics 2021-05-04 A. I. Figueroa , T. Hesjedal , N. -J. Steinke

Using the non-equilibrium Keldysh Green's function formalism, we investigate the effect of defects on the electronic structure and transport properties of two-dimensional topological insulators (TI). We demonstrate how the spatial flow of…

Mesoscale and Nanoscale Physics · Physics 2017-02-08 John S. Van Dyke , Dirk K. Morr

Charge density waves (CDWs) appear in numerous condensed matter platforms, ranging from high-Tc superconductors to quantum Hall systems. Despite such ubiquity, there has been a lack of direct experimental study on boundary states that can…

Topological insulators can be characterized alternatively in terms of bulk or edge properties. We prove the equivalence between the two descriptions for two-dimensional solids in the single-particle picture. We give a new formulation of the…

Mathematical Physics · Physics 2015-06-05 G. M. Graf , M. Porta

Certain insulating materials with strong spin-orbit coupling can conduct currents along their edges or surfaces. This phenomenon arises from the non-trivial topological properties of the electronic band-structure, and is somewhat similar to…

Strongly Correlated Electrons · Physics 2013-08-22 Predrag Nikolic , Tanja Duric , Zlatko Tesanovic

Topological Insulators are the best thermoelectric materials involving a sophisticated physics beyond their solid state and electronic structure. We show that exists a topological contribution to the thermoelectric effect that arise between…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Daniel Baldomir , Daniel Faílde

The bulk-edge correspondence predicts that interfaces between topological insulators support robust currents. We prove this principle for PDEs that are periodic away from an interface. Our approach relies on semiclassical methods. It…

Analysis of PDEs · Mathematics 2020-10-28 Alexis Drouot

Topological insulators are characterized by specially protected conduction on their outer boundaries. We show that the protected edge conduction exhibited by 2-D topological insulators (and also Chern insulators) is independent of…

Mesoscale and Nanoscale Physics · Physics 2015-09-01 Quansheng Wu , Liang Du , Vincent E. Sacksteder