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The electronic bands are classified according to their topology. We compute the connection and curvature for the electronic bands and show that the physical properties are determined by topological invariants which are equivalent to the…

Mesoscale and Nanoscale Physics · Physics 2016-10-25 D. Schmeltzer

The study of spatial symmetries was accomplished during the last century, and had greatly improved our understanding of the properties of solids. Nowadays, the symmetry data of any crystal can be readily extracted from standard…

Mesoscale and Nanoscale Physics · Physics 2018-09-06 Zhida Song , Tiantian Zhang , Zhong Fang , Chen Fang

Topological insulators and topological superconductors display various topological phases that are characterized by different Chern numbers or by gapless edge states. In this work we show that various quantum information methods such as the…

Strongly Correlated Electrons · Physics 2015-03-18 T. P. Oliveira , P. D. Sacramento

The first-principles band theory paradigm has been a key player not only in the process of discovering new classes of topologically interesting materials, but also for identifying salient characteristics of topological states, enabling…

Mesoscale and Nanoscale Physics · Physics 2016-08-03 Arun Bansil , Hsin Lin , Tanmoy Das

We develop a systematic approach for constructing symmetry-based indicators of a topological classification for superconducting systems. The topological invariants constructed in this work form a complete set of symmetry-based indicators…

Mesoscale and Nanoscale Physics · Physics 2020-07-01 Max Geier , Piet W. Brouwer , Luka Trifunovic

Electronic bands near the Fermi energy with minimal energy dispersion in k-space, i.e. "flat bands", are often said to be an important characteristic of superconducting materials. When extending over a significant region of the k-space,…

Superconductivity · Physics 2020-07-16 Zoë S. Yang , Austin M. Ferrenti , Robert J. Cava

It is widely believed that topological superconductivity, a hitherto elusive phase of quantum matter, can be achieved by inducing superconductivity in topological materials. In search of such topological superconductors, certain topological…

Superconductivity · Physics 2021-09-01 Sandeep Howlader , Goutam Sheet

Topological superconductors are appealing building blocks for robust and reliable quantum information processing. Most platforms for engineering topological superconductivity rely on a combination of superconductors, materials with…

Mesoscale and Nanoscale Physics · Physics 2025-08-06 Ignacio Sardinero , Rubén Seoane Souto , Pablo Burset

Topological insulators are new class of materials which are characterized by a bulk band gap like ordinary band insulator but have protected conducting states on their edge or surface. These states emerge out due to the combination of…

Mesoscale and Nanoscale Physics · Physics 2017-08-18 Arijit Saha , Arun M. Jayannavar

The unique properties of spin-polarized surface or edge states in topological insulators (TIs) make these quantum coherent systems interesting from the point of view of both fundamental physics and their implementation in low power…

Mesoscale and Nanoscale Physics · Physics 2016-01-05 Juan Pedro Cascales , Isidoro Martınez , Ferhat Katmis , Cui-Zu Chang , Ruben Guerrero , Jagadeesh S. Moodera , Farkhad G. Aliev

One-dimensional superlattices with modulated coupling constants show rich topological properties and tunable edge states. Beyond the dimeric case, probing the topological properties of superlattices is a challenge. Here we suggest a rather…

Optics · Physics 2020-12-15 Stefano Longhi

The identification of a non-trivial band topology usually relies on directly probing the protected surface/edge states. But, it is difficult to achieve electronically in narrow-gap topological materials due to the small (meV) energy scales.…

Topological insulators are new states of quantum matter which can not be adiabatically connected to conventional insulators and semiconductors. They are characterized by a full insulating gap in the bulk and gapless edge or surface states…

Mesoscale and Nanoscale Physics · Physics 2011-11-09 Xiao-Liang Qi , Shou-Cheng Zhang

We have experimentally realized novel space-time inversion (P-T) invariant Z2-type topological semimetal-bands, via an analogy between the momentum space and a controllable parameter space in superconducting quantum circuits. By measuring…

Quantum Physics · Physics 2017-11-03 Xinsheng Tan , Yuxin Zhao , Qiang Liu , Guangming Xue , Haifeng Yu , Zidan Wang , Yang Yu

Interfaces between exfoliated topological insulator Bi2Se3 and several transition metals deposited by sputtering were studied by XPS, SIMS, UPS and contact I-V measurements. Chemically clean interfaces can be achieved when coating Bi2Se3…

Mesoscale and Nanoscale Physics · Physics 2015-11-12 Weiguang Ye , A. B. Pakhomov , Shuigang Xu , Huanhuan Lu , Zefei Wu , Yu Han , Tianyi Han , Yingying Wu , Gen Long , Jiangxiazi Lin , Gu Xu , Yuan Cai , Lu-Tao Weng , Ning Wang

Second-order topological insulators and superconductors have a gapped excitation spectrum in bulk and along boundaries, but protected zero modes at corners of a two-dimensional crystal or protected gapless modes at hinges of a…

Mesoscale and Nanoscale Physics · Physics 2018-07-05 Max Geier , Luka Trifunovic , Max Hoskam , Piet W. Brouwer

Symmetries crucially underlie the classification of topological phases of matter. Most materials, both natural as well as architectured, possess crystalline symmetries. Recent theoretical works unveiled that these crystalline symmetries can…

Qualitative methods such as the linear sampling method and the factorization method reconstruct acoustic scatterers through sampling indicators. In practice, these indicators are gray-scale fields on a prescribed sampling window and a…

Numerical Analysis · Mathematics 2026-05-21 Xiaomei Yang , Jiaying Jia , Zhiliang Deng

Topological insulators are a class of band insulators with non-trivial topology, a result of band inversion due to the strong spin-orbit coupling. The transition between topological and normal insulator can be realized by tuning the…

Strongly Correlated Electrons · Physics 2018-03-29 Wenhan Zhang , M. X. Chen , Jixia Dai , Xueyun Wang , Zhicheng Zhong , Sang-Wook Cheong , Weida Wu

Three-dimensional line-nodal superconductors exhibit nontrivial topology, which is protected by the time-reversal symmetry. Here we investigate four types of short-range interaction between the gapless line-nodal fermionic quasiparticles by…

Superconductivity · Physics 2021-03-15 Jing Wang
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