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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

Fractional topological insulators are electronic systems that carry fractionally charged excitations, conserve charge and are symmetric to reversal of time. In this review we introduce the basic essential concepts of the field, and then…

Strongly Correlated Electrons · Physics 2016-04-20 Ady Stern

In this paper we extend the traditional framework of noncommutative geometry in order to deal with spectral truncations of geometric spaces (i.e. imposing an ultraviolet cutoff in momentum space) and with tolerance relations which provide a…

Quantum Algebra · Mathematics 2020-08-26 Alain Connes , Walter D. van Suijlekom

Topological insulators (TIs) are intriguing materials for advanced computing applications based on spintronics because they can host robust spin effects. For instance, TIs have intrinsically large spin generation enabled by their large…

Mesoscale and Nanoscale Physics · Physics 2025-03-11 Sharadh Jois , Gregory M. Stephen , Nick Blumenschein , Patrick J. Taylor , Aubrey T. Hanbicki , Adam L. Friedman

Topological crystalline insulators (TCIs) host topological phases of matter protected by crystal symmetries. Topological surface states in three-dimensional TCIs have been predicted and observed in IV-VI SnTe-class semiconductors. Despite…

Mesoscale and Nanoscale Physics · Physics 2026-01-30 Liwei Jing , Mohammad Amini , Adolfo O. Fumega , Orlando J. Silveira , Jose L. Lado , Peter Liljeroth , Shawulienu Kezilebieke

Recent discovery of bulk insulating topological insulator (TI) Bi2-xSbxTe3-ySey paved a pathway toward practical device application of TIs. For realizing TI-based devices, it is necessary to contact TIs with a metal. Since the band-bending…

Mesoscale and Nanoscale Physics · Physics 2016-09-21 Daichi Takane , Seigo Souma , Takafumi Sato , Takashi Takahashi , Kouji Segawa , Yoichi Ando

This paper discusses the topological and transport properties of binary heterostructures of different topological materials. The creation of multilayer devices is an alternative to building synthetic topological materials. By adjusting the…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 R. Pineda , W. Herrera

In this contribution we analyze the spectral properties of some commonly used boundary integral operators in computational electromagnetics and of their discrete counterparts, highlighting peculiar features of their spectra. In particular,…

Computational Engineering, Finance, and Science · Computer Science 2024-07-15 V. Giunzioni , A. Merlini , F. P. Andriulli

Topological insulators (TIs) exhibit novel physics with great promise for new devices, but considerable challenges remain to identify TIs with high structural stability and large nontrivial band gap suitable for practical applications. Here…

Materials Science · Physics 2015-11-27 Liangzhi Kou , Xin Tan , Yandong Ma , Hassan Tahini , Liujiang Zhou , Ziqi Sun , Aijun Du , Changfeng Chen , Sean C Smith

Topological Insulator-based devices can transport electrons/photons at the surfaces of materials without any back reflections, even in the presence of obstacles. Topological properties have recently been studied using non-reciprocal…

Optics · Physics 2016-11-03 Babak Bahari , Ricardo Tellez-Limon , Boubacar Kanté

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

The recent discoveries about topological insulators have been promoting theoretical and experimental research. In this dissertation, the basic concepts of topological insulators and the Quantum Hall Effect are reviewed focusing the…

Mesoscale and Nanoscale Physics · Physics 2022-05-04 Manuel B. Santos

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…

Ultracold and quantum degenerate gases held near conductive surfaces can serve as sensitive, high resolution, and wide-area probes of electronic current flow. Previous work has imaged transport around grain boundaries in a gold wire by…

Materials Science · Physics 2015-06-04 Brian Dellabetta , Taylor L. Hughes , Matthew J. Gilbert , Benjamin L. Lev

Three dimensional topological insulator crystals consist of an insulating bulk enclosed by metallic surfaces, and detailed theoretical predictions about the surface state band topology and spin texture are available. While several…

At an interface between a topological insulator (TI) and a conventional superconductor (SC), superconductivity has been predicted to change dramatically and exhibit novel correlations. In particular, the induced superconductivity by an…

We study surface states of topological crystalline insulators and superconductors protected by inversion symmetry. These fall into the category of "higher-order" topological insulators and superconductors which possess surface states that…

Mesoscale and Nanoscale Physics · Physics 2018-05-30 Eslam Khalaf

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

Characteristic classes, which are abstract topological invariants associated with vector bundles, have become an important notion in modern physics with surprising real-world consequences. As a representative example, the incredible…

Mesoscale and Nanoscale Physics · Physics 2023-12-11 Cody Tipton , Elizabeth Coda , Davis Brown , Alyson Bittner , Jung Lee , Grayson Jorgenson , Tegan Emerson , Henry Kvinge

We investigate the effects of magnetic and nonmagnetic impurities on the two-dimensional surface states of three-dimensional topological insulators (TIs). Modeling weak and strong TIs using a generic four-band Hamiltonian, which allows for…

Mesoscale and Nanoscale Physics · Physics 2016-02-26 Andreas Pieper , Holger Fehske