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The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range non-collinear spin ordering or magnetic skyrmions. Another purpose is to…

Superconductivity · Physics 2021-10-22 A. O. Zlotnikov , M. S. Shustin , A. D. Fedoseev

In this work, we study the spin texture of a class of higher-order topological superconductors (HOTSC) and show how it can be used to detect and braid Majorana corner modes (MCMs). This class of HOTSC is composed of two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 Xiao-Hong Pan , Xun-Jiang Luo , Jin-Hua Gao , Xin Liu

We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, and the principles for identifying Majorana bound states (MBSs). Along with the well-known Kitaev…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 V. V. Val'kov , M. S. Shustin , S. V. Aksenov , A. O. Zlotnikov , A. D. Fedoseev , V. A. Mitskan , M. Yu. Kagan

Topological superconductors (TSCs) have garnered significant research and industry attention in the past two decades. By hosting Majorana bound states which can be used as qubits that are robust against local perturbations, TSCs offer a…

We propose a planar Josephson junction setup to host Majorana modes where the semiconductor is sandwiched between superconductors on both surfaces. While the studied configuration is related to both devices proposed for use with topological…

Superconductivity · Physics 2024-01-05 Huan-Kuang Wu , Jay Sau

We study theoretically second-order topological superconductors characterized by the presence of pairs of zero-energy Majorana corner states. We uncover a quadrupole spin polarization at the system edges that provides a striking signature…

Mesoscale and Nanoscale Physics · Physics 2021-01-13 Kirill Plekhanov , Niclas Müller , Yanick Volpez , Dante M. Kennes , Herbert Schoeller , Daniel Loss , Jelena Klinovaja

We propose that a spin-dependent second-order topological insulator can be realized in monolayer FeSe/GdClO heterostructure, in which substrate GdClO helps to stabilize and enhance the antiferromagnetic order in FeSe. The second-order…

Mesoscale and Nanoscale Physics · Physics 2023-06-16 Qing Wang , Rui Song , Ning Hao

We introduce two-dimensional topological insulators in proximity to high-temperature cuprate or iron-based superconductors as high-temperature platforms of Majorana Kramers pairs of zero modes. The proximity-induced pairing at the helical…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 Zhongbo Yan , Fei Song , Zhong Wang

The abundance of bulk and boundary topologies in higher-order topological phases offer remarkable tunability and diversity to boundary states but also pose a challenge to their unified topological characterization. In this work, we propose…

Superconductivity · Physics 2025-05-26 Xun-Jiang Luo , Jia-Zheng Li , Meng Xiao , Fengcheng Wu

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

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

We study the surface states and chiral hinge states of a 3D second-order topological insulator in the presence of an external magnetic gauge field. Surfaces pierced by flux host Landau levels, while surfaces parallel to the applied field…

Strongly Correlated Electrons · Physics 2021-09-03 B. A. Levitan , L. Goutte , T. Pereg-Barnea

Topological superconductors (TSCs), with the capability to host Majorana bound states that can lead to non-Abelian statistics and application in quantum computation, have been one of the most intensively studied topics in condensed matter…

Chiral and helical Majorana edge modes are two archetypal gapless excitations of two-dimensional topological superconductors. They belong to superconductors from two different Altland-Zirnbauer symmetry classes characterized by $\mathbb{Z}$…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 Haiping Hu , Indubala I. Satija , Erhai Zhao

The bulk-boundary correspondence establishes a connection between the bulk topological index of an insulator or superconductor, and the number of topologically protected edge bands or states. For topological superconductors in two…

Mesoscale and Nanoscale Physics · Physics 2017-11-22 Nicholas Sedlmayr , Vardan Kaladzhyan , Clément Dutreix , Cristina Bena

We show that a two-dimensional topological superconductor (TSC) can be realized in a hybrid system with a conventional $s$-wave superconductor proximity-coupled to a quantum anomalous Hall (QAH) state from the Rashba and exchange effects in…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 L. Wang , M. W. Wu

Chiral Majorana hinge modes are characteristic of a second-order topological superconductor in three dimensions. Here we systematically study pairing symmetry in the point group D_{2h}, and find that the leading pairing channels can be of…

Superconductivity · Physics 2021-05-19 Bo Fu , Zi-Ang Hu , Chang-An Li , Jian Li , Shun-Qing Shen

Two-dimensional higher-order topology is usually studied in (nearly) particle-hole symmetric models, so that an edge gap can be opened within the bulk one. But more often deviates the edge anticrossing even into the bulk, where corner…

Mesoscale and Nanoscale Physics · Physics 2022-12-07 Junjie Zeng , Chen Chen , Yafei Ren , Zheng Liu , Wei Ren , Zhenhua Qiao

Topological superconductors are an intriguing and elusive quantum phase, characterized by topologically protected gapless surface/edge states residing in a bulk superconducting gap, which hosts Majorana fermions. Unfortunately, all…

Superconductivity · Physics 2019-05-10 Kyung-Hwan Jin , Huaqing Huang , Jia-Wei Mei , Zheng Liu , Lih-King Lim , Feng Liu

We theoretically propose a second-order topological magnon insulator by stacking the van der Waals honeycomb ferromagnets with antiferromagnetic interlayer coupling. The system exhibits Z$_{2}$ topological phase, protected by…

Mesoscale and Nanoscale Physics · Physics 2022-08-03 Yun-Mei Li , Ya-Jie Wu , Xi-Wang Luo , Yongwei Huang , Kai Chang
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