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In a topological semimetal with Dirac or Weyl points, the bulk edge correspondence principle predicts a gapless edge mode if the essential symmetry is still preserved at the surface. The detection of such topological surface state has been…

Topological states of matter are peculiar quantum phases showing different edge and bulk transport properties connected by the bulk-boundary correspondence. While non-interacting fermionic topological insulators are well established by now…

Quantum Gases · Physics 2016-10-18 M. Di Liberto , A. Hemmerich , C. Morais Smith

A layered superconductor with a full pairing energy gap can be driven into a nodal superconducting (SC) state by inter-layer pairing when the SC state becomes more quasi-3D. We propose that this mechanism is responsible for the observed…

Superconductivity · Physics 2012-05-16 Yuehua Su , Chandan Setty , Ziqiang Wang , Jiangping Hu

We explore the bulk-edge correspondence for topological insulators (superconductors) without time-reversal symmetry from the point of view of the index theorem for open spaces. We assume generic Hamiltonians not only with a linear…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 T. Fukui , K. Shiozaki , T. Fujiwara , S. Fujimoto

Topological insulators are solid state systems of independent electrons for which the Fermi level lies in a mobility gap, but the Fermi projection is nevertheless topologically non-trivial, namely it cannot be deformed into that of a normal…

Mathematical Physics · Physics 2016-10-27 Hermann Schulz-Baldes

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

When electrons are subject to a large external magnetic field, the conventional charge quantum Hall effect \cite{Klitzing,Tsui} dictates that an electronic excitation gap is generated in the sample bulk, but metallic conduction is permitted…

Mesoscale and Nanoscale Physics · Physics 2009-10-08 D. Hsieh , D. Qian , L. Wray , Y. Xia , Y. S. Hor , R. J. Cava , M. Z. Hasan

Plasmonic excitations behave fundamentally different in layered materials in comparison to bulk systems. They form gapless modes, which in turn couple at low energies to the electrons. Thereby they can strongly influence superconducting…

Superconductivity · Physics 2018-03-14 M. Rösner , R. E. Groenewald , G. Schönhoff , J. Berges , S. Haas , T. O. Wehling

We study topological transitions in one dimensional superconductors that can harbor multiple edge Majorana bound states protected by chiral symmetry. The chiral symmetry arises due to the structure of the internal spin degrees of freedom of…

Superconductivity · Physics 2025-05-05 Kristian Løvås Svalland , Maria Teresa Mercaldo , Mario Cuoco

We demonstrate that a combination of disorder and interactions in a two-dimensional bulk topological insulator can generically drive its helical edge insulating. We establish this within the framework of helical Luttinger liquid theory and…

Strongly Correlated Electrons · Physics 2018-08-24 Yang-Zhi Chou , Rahul M. Nandkishore , Leo Radzihovsky

Topological states of light represent counterintuitive optical modes localized at boundaries of finite-size optical structures that originate from the properties of the bulk. Being defined by bulk properties, such boundary states are…

Topological states of light represent counterintuitive optical modes localized at boundaries of finite-size optical structures that originate from the properties of the bulk. Being defined by bulk properties, such boundary states are…

Topological insulators represent a new state of quantum matter attractive to both fundamental physics and technological applications such as spintronics and quantum information processing. In a topological insulator, the bulk energy gap is…

Topology is a fundamental aspect of quantum physics, and it has led to key breakthroughs and results in various fields of quantum materials. In condensed matters, this has culminated in the recent discovery of symmetry-protected topological…

Materials Science · Physics 2023-10-24 Baokai Wang , Yi-Chun Hung , Xiaoting Zhou , Tzen Ong , Hsin Lin

Doped strong topological insulators are one of the most promising candidates to realize a fully gapped three-dimensional topological superconductor (TSC). In this letter, we revisit this system and reveal a possibility for higher-order…

Superconductivity · Physics 2022-11-03 Sayed Ali Akbar Ghorashi , Jennifer Cano , Enrico Rossi , Taylor L. Hughes

Topological materials are quantum materials with nontrivial ground-state entanglement that are irremovable so long as certain rules, like invariance under symmetries and the existence of an energy gap, are respected. They showcase…

Mesoscale and Nanoscale Physics · Physics 2020-06-12 Hoi Chun Po

Topological insulators are states of matter distinguished by the presence of symmetry protected metallic boundary states. These edge modes have been characterised in terms of transport and spectroscopic measurements, but a thermodynamic…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Anton Quelle , Emilio Cobanera , Cristiane Morais Smith

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

The extension of the topological classification of band insulators to topological semimetals gave way to the topology classes of Dirac, Weyl, and nodal line semimetals with their unique Fermi arc and drum head boundary modes. Similarly,…

High-order topological phases host robust boundary states at the boundary of the boundary, which can be interpreted from their boundary topology. In this work, considering the interplay between superconductors and magnetic fields to gap the…

Superconductivity · Physics 2021-09-29 Xun-Jiang Luo , Xiao-Hong Pan , Xin Liu
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