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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

Although the appearance of vortex-localized states with zero energy in first-order topological superconductors is well known, their possibility to form in the higher-order topological phase of 2D systems has not been completely uncovered…

Superconductivity · Physics 2025-06-06 A. D. Fedoseev , A. O. Zlotnikov

Epitaxial semiconductor-superconductor hybrid materials are an excellent basis for studying mesoscopic and topological superconductivity, as the semiconductor inherits a hard superconducting gap while retaining tunable carrier density.…

Mesoscale and Nanoscale Physics · Physics 2017-03-10 D. Sherman , J. S. Yodh , S. M. Albrecht , J. Nygård , P. Krogstrup , C. M. Marcus

Topological materials are of great interest for applications in quantum computing, providing intrinsic robustness against environmental noises. A popular direction is to look for Majorana modes in integrated systems interfaced with…

Mesoscale and Nanoscale Physics · Physics 2018-02-19 Zhigang Song

We study low-lying electron levels in an "antidot" capturing a coreless vortex on the surface of a three-dimensional topological insulator in the presence of disorder. The surface is covered with a superconductor film with a hole of size R…

Mesoscale and Nanoscale Physics · Physics 2012-11-13 P. A. Ioselevich , P. M. Ostrovsky , M. V. Feigel'man

Topological phases of matter are among the most intriguing research directions in Condensed Matter Physics. It is known that superconductivity induced on a topological insulator's surface can lead to exotic Majorana modes, the main…

Strongly Correlated Electrons · Physics 2021-05-20 J. Herbrych , M. Środa , G. Alvarez , M. Mierzejewski , E. Dagotto

We investigate helical edge states (HES) emerging at the composite domain wall of spin and pseudo-spin degrees of freedom in a 2-D bulk governed by the Bernevig-Hughes-Zhang Hamiltonian which underwent quantum spin Hall to anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2024-11-22 Subhadeep Chakraborty , Vivekananda Adak , Sourin Das

We discuss a (2+1) dimensional topological superconductor with $N_f$ left- and right-moving Majorana edge modes and a $\mathbb{Z}_2\times \mathbb{Z}_2$ symmetry. In the absence of interactions, these phases are distinguished by an integral…

Strongly Correlated Electrons · Physics 2013-05-30 Shinsei Ryu , Shou-Cheng Zhang

The engineering of Majorana zero modes in topological superconductors, a new paradigm for the realization of topological quantum computing and topology-based devices, has been hampered by the absence of materials with sufficiently large…

Superconductivity · Physics 2023-01-18 Eric Mascot , Sagen Cocklin , Martin Graham , Mahdi Mashkoori , Stephan Rachel , Dirk K. Morr

We demonstrate that the one-dimensional helical Majorana edges of two-dimensional time-reversal symmetric topological superconductors (class DIII) can become gapless and insulating by a combination of random edge velocity and interaction.…

Strongly Correlated Electrons · Physics 2021-02-10 Yang-Zhi Chou , Rahul M. Nandkishore

Majorana zero modes have gained significant interest due to their potential applications in topological quantum computing and in the realization of exotic quantum phases. These zero-energy quasiparticle excitations localize at the vortex…

Mesoscale and Nanoscale Physics · Physics 2024-08-13 Pasquale Marra , Daisuke Inotani , Takeshi Mizushima , Muneto Nitta

Majorana zero mode is an exotic quasi-particle excitation with non-Abelian statistics in topological superconductor systems, and can serve as the cornerstone for topological quantum computation, a new type of fault-tolerant quantum…

Superconductivity · Physics 2022-04-27 Xianxin Wu , Rui-Xing Zhang , Gang Xu , Jiangping Hu , Chao-Xing Liu

Among the potential applications of topological insulators, we investigate theoretically the effect of coexistence of proximity-induced ferromagnetism and superconductivity on the surface states of 3-dimensional topological insulator, where…

Mesoscale and Nanoscale Physics · Physics 2017-02-01 Hadi Goudarzi , Maryam Khezerlou , Samin Asgarifar

Semiconductor nanowires such as InAs and InSb are promising materials for studying Majorana zero-modes and demonstrating non-Abelian particle exchange relevant for topological quantum computing. While evidence for Majorana bound states in…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 S. T. Gill , J. Damasco , B. E. Janicek , M. S. Durkin , V. Humbert , S. Gazibegovic , D. Car , E. P. A. M. Bakkers , P. Y. Huang , N. Mason

We introduce a class of superconductors termed "quantized quadrupole superconductors" that support Majorana corner modes according to the bulk-corner correspondence, distinct from previous works on the second-order topological…

Superconductivity · Physics 2025-12-24 Yun-Mei Li , Yongwei Huang , Kai Chang

Majorana 'zero-modes' are expected to be immune to decoherence. The primary method for their characterization in a 1D topological superconductor, is measuring the tunneling current into the edge of the superconductor. Presently, the…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Anna Grivnin , Ella Bor , Moty Heiblum , Yuval Oreg , Hadas Shtrikman

Progress in the emergent field of topological superconductivity relies on synthesis of new material combinations, combining superconductivity, low density, and spin-orbit coupling (SOC). For example, theory [1-4] indicates that the…

Dirac semimetals, with their protected Dirac points, present an ideal platform for realizing intrinsic topological superconductivity. In this work, we investigate superconductivity in a two-dimensional, square-lattice nonsymmorphic Dirac…

Superconductivity · Physics 2025-12-03 Xiao-Jiao Wang , Yijie Mo , Zhi Wang , Zhigang Wu , Zhongbo Yan

From our general index theorem that characterises faithfully the boundary-bulk correspondence of topological superconductors and insulators, we reveal rigorously that four topologically distinct types of Majorana zero-modes can emerge at…

Strongly Correlated Electrons · Physics 2014-12-30 Y. X. Zhao , Z. D. Wang

We study the properties of one-dimensional topological superconductors under the influence of generic boundary conditions mimicking the coupling with external environments. We identify a general four-parameters classification of the…

Mesoscale and Nanoscale Physics · Physics 2022-10-12 A. Maiellaro , F. Romeo , F. Illuminati