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Majorana Fermions, strange particles that are their own antiparticles, were predicted in 1937 and have been sought after ever since. In condensed matter they are predicted to exist as vortex core or edge excitations in certain exotic…

Superconductivity · Physics 2013-08-12 Aaron Farrell , T. Pereg-Barnea

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

The possibility to observe and manipulate Majorana fermions as end states of one-dimensional topological superconductors has been actively discussed recently. In a quantum wire with strong spin-orbit coupling placed in proximity to a bulk…

Superconductivity · Physics 2014-07-31 Masaki Tezuka , Norio Kawakami

Edge states in the integral quantum Hall effect on a lattice are reviewed from a topological point of view. For a system with edges which is realized inevitably in an experimental situation, the Hall conductance $\sigma_{xy}$ is given by a…

Condensed Matter · Physics 2007-05-23 Yasuhiro Hatsugai

We show that a two-dimensional $s$-wave superconductor may become topological in the presence of a magnetic field that leads to the formation of an Abrikosov vortex lattice. Below the upper critical field, a superconducting state with a…

Superconductivity · Physics 2025-11-18 Daniil S. Antonenko , Liang Fu , Leonid. I Glazman

We study the Majorana surface states of higher-spin topological superconductors (TSCs) that could be realized in ultracold atomic systems or doped semimetals with spin-orbit coupling. As a paradigmatic example, we consider a model with…

Mesoscale and Nanoscale Physics · Physics 2017-04-12 Sayed Ali Akbar Ghorashi , Seth Davis , Matthew S. Foster

Quantum anomalous Hall insulator/superconductor heterostructures emerged as a competitive platform to realize topological superconductors with chiral Majorana edge states as shown in recent experiments [He et al. Science {\bf 357}, 294…

Superconductivity · Physics 2018-03-21 Chui-zhen Chen , Ying-ming Xie , Jie Liu , Patrick A Lee , K. T. Law

The engineering of non-trivial topology in superconducting heterostructures is a very challenging task. Reducing the number of components in the system would facilitate the creation of the long-sought Majorana bound states. Here, we explore…

Superconductivity · Physics 2022-06-20 Stefan Rex , Roland Willa

We propose to realize a two-dimensional chiral topological superconducting (TSC) state from the quantum anomalous Hall plateau transition in a magnetic topological insulator thin film through the proximity effect to a conventional $s$-wave…

Superconductivity · Physics 2015-09-01 Jing Wang , Quan Zhou , Biao Lian , Shou-Cheng Zhang

The chiral topological superconductor, which supports propagating nontrivial edge modes while maintaining a gapped bulk, can be realized hybridizing a quantum-anomalous-Hall thin slab with an ordinary $s$-wave superconductor. We show that…

Mesoscale and Nanoscale Physics · Physics 2023-11-17 Daniele Di Miceli , Llorenç Serra

Vortices in chiral topological superconductors are known for trapping Majorana zero modes as a signature response to their bulk-state topologies. In this work, we establish a similar bulk-vortex correspondence for two-dimensional…

Strongly Correlated Electrons · Physics 2022-08-04 Rui-Xing Zhang

We present a detailed theoretical study of chiral topological superconductor phases in proximity-superconducting graphene systems based on an effective model inspired by DFT simulations. Inducing s-wave superconductivity to quantum…

Mesoscale and Nanoscale Physics · Physics 2020-09-10 Petra Högl , Tobias Frank , Denis Kochan , Martin Gmitra , Jaroslav Fabian

Quantum spin Hall insulators with a pair of helical edge states and proximity-induced superconductivity have been shown to support second-order topological superconductors with Majorana corner modes. As the Majorana corner modes are…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Zhiwei Yin , Haoshu Li , Zhongbo Yan , Shaolong Wan

Interplay between superconductivity, spin-orbit coupling and magnetic field can lead to realisation of the topologically non--trivial states which in finite one dimensional nanowires are manifested by emergence of a pair of zero-energy…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Aksel Kobiałka , Tadeusz Domański , Andrzej Ptok

Noncollinear and noncoplanar magnetic orders lead to unusual electronic structures and transport properties. We here investigate two types of multiple-Q magnetically ordered states and a topological phase transition between them in two…

Strongly Correlated Electrons · Physics 2015-02-10 Satoru Hayami , Yukitoshi Motome

We present a unified study of the effect of periodic, quasiperiodic and disordered potentials on topological phases that are characterized by Majorana end modes in 1D p-wave superconducting systems. We define a topological invariant derived…

Strongly Correlated Electrons · Physics 2013-08-09 Wade DeGottardi , Diptiman Sen , Smitha Vishveshwara

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

In topological insulators doped with magnetic ions, spin-orbit coupling and ferromagnetism give rise to the quantum anomalous Hall effect. Here we show that in s-wave superconductors with strong spin-orbit coupling, magnetic impurity ions…

Superconductivity · Physics 2019-02-25 Kun Jiang , Xi Dai , Ziqiang Wang

Lattice geometry continues providing exotic topological phases in condensed matter physics. Exciting recent examples are the higher-order topological phases, manifesting via localized lower-dimensional boundary states. Moreover, flat…

Superconductivity · Physics 2023-10-12 Narayan Mohanta , Rahul Soni , Satoshi Okamoto , Elbio Dagotto

Physical phenomena driven by topological properties, such as the quantum Hall effect, have the appealing feature to be robust with respect to external perturbations. Lately, a new class of materials has emerged manifesting their topological…

Mesoscale and Nanoscale Physics · Physics 2011-02-17 D. Bercioux , N. Goldman , D. F. Urban