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The exploration of topological superconductivity and Majorana zero modes has become a rapidly developing field. Many types of proposals to realize topological superconductors have been presented, and significant advances have been recently…

Superconductivity · Physics 2019-07-11 Yupeng Li , Zhu-An Xu

We demonstrate that level crossings at the Fermi energy serve as robust indicators for higher-order topology in two-dimensional superconductors of symmetry class D. These crossings occur when the boundary condition in one direction is…

Mesoscale and Nanoscale Physics · Physics 2023-09-22 Hong Wang , Xiaoyu Zhu

We study topological vortex phases in iron-based superconductors. Besides the previously known vortex end Majorana zero modes (MZMs) phase stemming from the existence of a three dimensional (3D) strong topological insulator state, we show…

Superconductivity · Physics 2019-09-05 Shengshan Qin , Lunhui Hu , Xianxin Wu , Xia Dai , Chen Fang , Fu-chun Zhang , Jiangping Hu

The surface of a higher order topological insulator (HOTI) comprises a two-dimensional topological insulator (TI) with broken inversion symmetry, whose mass is determined by the microscopic details of the surface such as surface potentials…

Mesoscale and Nanoscale Physics · Physics 2019-07-24 Raquel Queiroz , Ady Stern

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,…

The concepts of topology have a profound impact on physics research spanning the fields of condensed matter, photonics and acoustics and predicting topological states that provide unprecedented versatility in routing and control of waves of…

We propose a novel realization for a topologically superconducting phase hosting Majorana zero-modes on the basis of quantum spin Hall systems. Remarkably, our proposal is completely free of ferromagnets. Instead, we confine helical edge…

Mesoscale and Nanoscale Physics · Physics 2021-03-17 C. Fleckenstein , N. Traverso Ziani , A. Calzona , M. Sassetti , B. Trauzettel

A $d$-dimensional, $n$th-order topological insulator or superconductor has localized eigenmodes at its $(d-n)$-dimensional boundaries ($n\leq d$). In this work, we apply periodic driving fields to two-dimensional superconductors, and obtain…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Longwen Zhou

Recently it was discovered that superconductivity in transition metal dichalcogenides (TMDs) is strongly affected by an out-of-plane spin-orbit coupling (SOC). In addition, new techniques of fabricating 2d ferromagnets on van der Waals…

Mesoscale and Nanoscale Physics · Physics 2020-02-19 Szczepan Głodzik , Teemu Ojanen

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Junyeong Ahn , Bohm-Jung Yang

Higher-order topological insulators, which support lower-dimensional topological boundary states than the first-order topological insulators, have been intensely investigated in the integer dimensional systems. Here, we provide a new…

Mesoscale and Nanoscale Physics · Physics 2022-05-12 Junkai Li , Qingyang Mo , Jian-Hua Jiang , Zhaoju Yang

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

A superconducting hybrid structure composed of three layers is considerated.The 2D layers interact mutually by higher grade inter-layer couplings.We determine the possible superconducting modes. Those solutions enable to discuss the…

Superconductivity · Physics 2008-12-18 M. Sztyren

Recently, the notion of topological phases of matter has been extended to higher-order incarnations, supporting gapless modes on even lower dimensional boundaries, such as corners and hinges. We here identify a collection of cubic spin-3/2…

Mesoscale and Nanoscale Physics · Physics 2020-03-11 Andras Szabo , Roderich Moessner , Bitan Roy

Odd-parity pairings offer a natural pathway for realizing topological superconductivity. When two identical even-parity superconductors form a $\pi$-junction, the metallic material sandwiched between them experiences an effective odd-parity…

Superconductivity · Physics 2025-03-11 Yijie Mo , Xiao-Jiao Wang , Zhongbo Yan

Higher-order topological insulators exhibit multidimensional topological physics and unique application values due to their ability of integrating stable boundary states at multiple dimensions in a single chip. However, for…

Applied Physics · Physics 2022-11-11 Ying Wu , Mou Yan , Hai-Xiao Wang , Feng Li , Jian-Hua Jiang

The topological properties in topological superconductors are usually characterized by the bulk Chern numbers, edge-state spectra, and Majorana zero modes. Whether they are equivalent or inequivalent is not well understood. Here, we…

Mesoscale and Nanoscale Physics · Physics 2017-10-03 Xiao-Ping Liu , Yuan Zhou , Yi-Fei Wang , Chang-De Gong

We discuss an extension of higher order topological phases to include bosonic systems. We present two spin models for a second-order topological phase protected by a global $\mathbb{Z}_2\times\mathbb{Z}_2$ symmetry. One model is built from…

Strongly Correlated Electrons · Physics 2019-06-19 Oleg Dubinkin , Taylor L. Hughes

Magnet-superconductor hybrid (MSH) structures represent one of the most promising platforms to realize, control and manipulate Majorana modes using scanning tunneling methods. By depositing either chains or islands of magnetic atoms on the…

Superconductivity · Physics 2020-05-20 Daniel Crawford , Eric Mascot , Dirk K. Morr , Stephan Rachel

There have been several proposals for platforms sustaining topological superconductivity in high temperature superconductors, in order to make use of the larger superconducting gap and the expected robustness of Majorana zero modes towards…

Superconductivity · Physics 2024-07-29 Mainak Pal , Andreas Kreisel , P. J. Hirschfeld
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