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Majorana zero modes are a much sought-after consequence of one-dimensional topological superconductivity. Here, we show that, in turn, zero modes accompanying dynamical instanton events strongly enhance -- in some cases even enable --…

Superconductivity · Physics 2022-08-11 Michael A. Rampp , Elio J. König , Jörg Schmalian

Topological superconductors are a class of unconventional superconducting materials featuring sub-gap zero-energy Majorana bound modes that hold promise as a building block for topological quantum computing. In this work, we study the…

Superconductivity · Physics 2023-10-30 Zi-Ming Wang , Meng Zeng , Chen Lu , Da-Shuai Ma , Rui-Xing Zhang , Lun-Hui Hu , Dong-Hui Xu

One-dimensional (1D) topological superconductivity is a state of matter that is not found in nature. However, it can be realised, for example, by inducing superconductivity into the quantum spin Hall edge state of a two-dimensional…

Noncentrosymmetric superconductors (NCSs), characterized by antisymmetric spin-orbit coupling and a mixture of spin-singlet and spin-triplet pairing components, are promising candidate materials for topological superconductivity. An…

Superconductivity · Physics 2014-11-11 Po-Yao Chang , Shunji Matsuura , Andreas P. Schnyder , Shinsei Ryu

It is predicted that a vortex in a topological superconductor contains a Majorana zero mode (MZM). The confirmative Majorana signature, i.e., the $2e^2/h$ quantized conductance, however is easily sabotaged by unavoidable interruptions, e.g.…

Superconductivity · Physics 2023-07-11 Gu Zhang , Chuang Li , Geng Li , Can-Li Song , Xin Liu , Fu-Chun Zhang , Dong E. Liu

We show that magnetic zero-modes of the Dirac operator on $\mathbb{R}^3$ which obey an additional non-linear equation are closely related to vortex configurations on the 2-sphere, and that both are best understood in terms of the geometry…

High Energy Physics - Theory · Physics 2017-11-15 Calum Ross , Bernd Schroers

We study the vortex lattice in a two-dimensional s-wave topological superconductor with Rashba spin-orbit coupling and Zeeman field by solving the Bogoliubov-de Gennes equations self-consistently for the superconducting order parameter. We…

Superconductivity · Physics 2016-08-24 Evan D. B. Smith , K. Tanaka , Yuki Nagai

The band topology of a superconductor is known to have profound impact on the existence of Majorana zero modes in vortices. As iron-based superconductors with band inversion and $s_{\pm}$-wave pairing can give rise to time-reversal…

Superconductivity · Physics 2021-11-10 Majid Kheirkhah , Zhongbo Yan , Frank Marsiglio

Higher-order topological superfluids have gapped bulk and symmetry-protected Majorana zero modes with various localizations. Motivated by recent advances, we present a proposal for synthesizing multi-order topological superfluids that…

Quantum Gases · Physics 2021-07-09 Yu-Biao Wu , Guang-Can Guo , Zhen Zheng , Xu-Bo Zou

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 discuss the emergence of zero-energy Majorana modes in a disordered finite-length p-wave one-dimensional superconducting ring, pierced by a magnetic flux $\Phi$ tuned at an appropriate value $\Phi=\Phi_*$. In the absence of fermion…

Strongly Correlated Electrons · Physics 2017-05-01 Andrea Nava , Rosa Giuliano , Gabriele Campagnano , Domenico Giuliano

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

We propose theoretically an effective scheme for braiding Majorana bound states by manipulating the point potential. The vortex pinning effect is carefully elucidated. This effect may be used to control the vortices and Majorana bound…

Superconductivity · Physics 2017-11-15 Hai-Dan Wu , Tao Zhou

Magnetic skyrmions are nanoscale spin configurations that can be efficiently created and manipulated. They hold great promises for next-generation spintronics applications. In parallel to these developments, the interplay of magnetism,…

Superconductivity · Physics 2019-10-24 Maxime Garnier , Andrej Mesaros , Pascal Simon

We propose to study the lattice-symmetry protection of Majorana zero bound modes in topological crystalline superconductors (SCs). With an induced $s$-wave superconductivity in the $(001)$-surface of the topological crystalline insulator…

Strongly Correlated Electrons · Physics 2015-01-28 Xiong-Jun Liu , James J. He , K. T. Law

We demonstrate a topological classification of vortices in three dimensional time-reversal invariant topological superconductors based on superconducting Dirac semimetals with an s-wave superconducting order parameter by means of a pair of…

Mesoscale and Nanoscale Physics · Physics 2017-06-21 Pedro L. S. Lopes , Jeffrey C. Y. Teo , Shinsei Ryu

We investigate the anomalous flux state of interacting higher-order topological superconductors (HOTSC) protected by rotation symmetries. By introducing a $\pi$ superconducting flux in 2D HOTSC, we demonstrate the existence of a robust zero…

Superconductivity · Physics 2023-01-13 Yizhi You

Topological invariants, rigorously defined only in the thermodynamic limit, have been generalized to topological indicators applicable to finite-size disordered systems. However, in many experimentally relevant situations, such as…

Mesoscale and Nanoscale Physics · Physics 2025-08-19 Robert Eissele , Binayyak B. Roy , Sumanta Tewari , Tudor D. Stanescu

Majorana corner modes appearing in two-dimensional second-order topological superconductors have great potential applications for fault-tolerant topological quantum computations. We demonstrate that in the presence of an in-plane magentic…

Superconductivity · Physics 2021-04-07 S. Ikegaya , W. B. Rui , D. Manske , Andreas P. Schnyder

It has been widely believed that half quantum vortices are indispensable to realize topological stable Majorana zero modes and non-Abelian anyons in spinful superconductors/superfluids. Contrary to this wisdom, we here demonstrate that…

Superconductivity · Physics 2015-06-16 Masatoshi Sato , Ai Yamakage , Takeshi Mizushima
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