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Hybrid superconductor-semiconductor heterostructures are promising platforms for realizing topological superconductors and exploring Majorana bound states physics. Motivated by recent experimental progress, we theoretically study how…

Mesoscale and Nanoscale Physics · Physics 2021-03-15 A. Maiani , R. Seoane Souto , M. Leijnse , K. Flensberg

We uncover a novel two-particle Berry phase mechanism to realize exotic corner modes in second-order topological insulators (TIs) and topological superconductors (TSCs) with time-reversal symmetry. We show that the nontrivial pseudospin…

Superconductivity · Physics 2022-01-14 Yi Tan , Zhi-Hao Huang , Xiong-Jun Liu

In two dimensions, intrinsic second-order topological insulators (SOTIs) are characterized by topological corner states that emerge at the intersections of distinct edges with reversed mass signs, enforced by spatial symmetries. Here, we…

Materials Science · Physics 2024-06-21 Z. J. Chen , S. G. Xu , Z. J. Xie , H. Xu , H. M. Weng

We propose a platform based on a fully compensated ferrimagnet (fFIM) for realizing and controlling topological superconductivity with Majorana bound states across multiple dimensions. Through symmetry analysis and microscopic modeling, we…

Superconductivity · Physics 2025-04-29 Yu-Xuan Li , Yicheng Liu , Cheng-Cheng Liu

Higher-order topological insulators (HOTIs) which go beyond the description of conventional bulk-boundary correspondence, broaden the understanding of topological insulating phases. Being mainly focused on electronic materials, HOTIs have…

Materials Science · Physics 2018-12-05 Bi Ye Xie , Hong Fei Wang , Hai-Xiao Wang , Xue Yi Zhu , Jian-Hua Jiang , Ming Hui Lu , Yan Feng Chen

Topological insulators (TIs) having intrinsic or proximity-coupled s-wave superconductivity host Majorana zero modes (MZMs) at the ends of vortex lines. The MZMs survive up to a critical doping of the TI at which there is a vortex phase…

Superconductivity · Physics 2020-07-21 Sayed Ali Akbar Ghorashi , Taylor L. Hughes , Enrico Rossi

Intrinsic topological superconductors have protected gapless Majorana modes, bound and/or propagating, at the natural boundaries of the sample, without requiring field, defect, or heterostructure. We establish the complete…

Mesoscale and Nanoscale Physics · Physics 2022-09-23 Zhongyi Zhang , Jie Ren , Yang Qi , Chen Fang

For two- and three-dimensional topological insulators whose unit cells consist of multiple sublattices, the boundary terminating at which type of sublattice can affect the time-reversal invariant momentum at which the Dirac points of…

Superconductivity · Physics 2022-12-28 Di Zhu , Bo-Xuan Li , Zhongbo Yan

We develop a general theory for two-dimensional (2D) anomalous Floquet higher-order topological superconductors (AFHOTSC), which are dynamical Majorana-carrying phases of matter with no static counterpart. Despite the triviality of its bulk…

Materials Science · Physics 2021-10-13 DinhDuy Vu , Rui-Xing Zhang , Zhi-Cheng Yang , Sankar Das Sarma

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

Two-dimensional second-order topological superconductors host zero-dimensional Majorana bound states at their boundaries. In this work, focusing on rotation-invariant crystalline topological superconductors, we establish a bulk-boundary…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Elis Roberts , Jan Behrends , Benjamin Béri

Realizing topological superconductivity and Majorana zero modes in the laboratory is one of the major goals in condensed matter physics. We review the current status of this rapidly-developing field, focusing on semiconductor-superconductor…

Superconductivity · Physics 2018-05-11 R. M. Lutchyn , E. P. A. M. Bakkers , L. P. Kouwenhoven , P. Krogstrup , C. M. Marcus , Y. Oreg

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

Contrary to the widespread belief that Majorana zero-energy modes, existing as bound edge states in 2D topological insulator (TI)-superconductor (SC) hybrid structures, are unaffected by non-magnetic static disorder by virtue of Anderson's…

Mesoscale and Nanoscale Physics · Physics 2014-11-26 Hoi-Yin Hui , Jay D. Sau , S. Das Sarma

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

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

Second-order topological insulator (SOTI) is featured with the presence of $(d-2)$-dimensional boundary states in $d$-dimension systems. The non-Hermiticity induced breakdown of bulk-boundary correspondence (BBC) and the periodic driving on…

Strongly Correlated Electrons · Physics 2021-05-21 Hong Wu , Bao-Qin Wang , Jun-Hong An

Chiral one-dimensional transport can be realized in thin films of a surface-insulating ferromagnetic topological insulator called quantum anomalous Hall insulator (QAHI). When superconducting (SC) pairing correlations are induced in the…

Mesoscale and Nanoscale Physics · Physics 2025-08-21 Anjana Uday , Gertjan Lippertz , Bibek Bhujel , Alexey A. Taskin , Yoichi Ando

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 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
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