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We discuss a (2+1) dimensional topological superconductor with $N_f$ left- and right-moving Majorana edge modes and a $\mathbb{Z}_2\times \mathbb{Z}_2$ symmetry. In the absence of interactions, these phases are distinguished by an integral…

Strongly Correlated Electrons · Physics 2013-05-30 Shinsei Ryu , Shou-Cheng Zhang

Non-local pairing processes at the edge of a two-dimensional topological insulator in proximity to an $s$-wave superconductor are usually suppressed by helicity. However, additional proximity of a ferromagnetic insulator can substantially…

Mesoscale and Nanoscale Physics · Physics 2016-03-24 François Crépin , Pablo Burset , Björn Trauzettel

Spatial separation of Majorana zero modes distinguishes trivial from topological midgap states and is key to topological protection in quantum computing applications. Although signatures of Majorana zero modes in tunneling spectroscopy have…

Mesoscale and Nanoscale Physics · Physics 2020-04-28 M. T. Deng , S. Vaitiekénas , E. Prada , P. San-Jose , J. Nygård , P. Krogstrup , R. Aguado , C. M. Marcus

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 propose a material platform comprised of transition metal dichalcogenide (TMDC) heterostructures to realize the two-dimensional (2D) helical superconductivity with an intrinsic gap. By van der Waals stacking a 2D superconductor…

Superconductivity · Physics 2025-12-12 Xuance Jiang , Jennifer Cano , Yuan Ping , Yafis Barlas , Deyu Lu

Helical states can be measured through the observation of the reentrant behaviour, which is a dip in the conductance probed in semiconducting nanowires (NWs) with strong spin-orbit coupling (SOC) under the presence of an external…

Mesoscale and Nanoscale Physics · Physics 2022-01-05 Iann Cunha , Leonardo Villegas-Lelovsky , Leonardo Kleber Castelano

Being motivated by intriguing phenomena such as the breakdown of conventional bulk boundary correspondence and emergence of skin modes in the context of non-Hermitian (NH) topological insulators, we here propose a NH second-order…

Mesoscale and Nanoscale Physics · Physics 2022-10-21 Arnob Kumar Ghosh , Tanay Nag

The momentum dependence of Rashba spin-orbit coupling (RSOC) is a key ingredient for engineering topological superconductors (TSCs), yet research has overwhelmingly focused on its linear-in-momentum form. This focus has restricted…

Superconductivity · Physics 2026-05-11 Qi-Sheng Xu , Zi-Ming Wang , Chui-Zhen Chen , Lun-Hui Hu , Rui Wang , Dong-Hui Xu

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

We propose two experiments to probe the Majorana fermion edge states that occur at a junction between a superconductor and a magnet deposited on the surface of a topological insulator. Combining two Majorana fermions into a single Dirac…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Liang Fu , C. L. Kane

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

The coherence factors of quasiparticles in a superconductor determine their properties, including transport and susceptibility to electric fields. In this work, we propose a way to infer the local coherence factors using local transport to…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Rodrigo A. Dourado , Jeroen Danon , Martin Leijnse , Rubén Seoane Souto

We study all possible Majorana modes in two-dimensional spin-orbit coupled ferromagnetic superconductor-normal state-superconductor (SNS) Josephson junctions and propose experiments to detect them. With the S region in a non-trivial…

Superconductivity · Physics 2015-05-28 Annica M. Black-Schaffer , Jacob Linder

This review elaborates pedagogically on the fundamental concept, basic theory, expected properties, and materials realizations of topological superconductors. The relation between topological superconductivity and Majorana fermions are…

Superconductivity · Physics 2017-05-18 Masatoshi Sato , Yoichi Ando

Floquet Majorana edge modes capture the topological features of periodically driven superconductors. We present a Kitaev chain with multiple time periodic driving and demonstrate how the avoidance of bands crossing is altered, which gives…

Mesoscale and Nanoscale Physics · Physics 2019-10-25 Huan-Yu Wang , Lin Zhuang , W. M. Liu

Epitaxial semiconductor-superconductor hybrid materials are an excellent basis for studying mesoscopic and topological superconductivity, as the semiconductor inherits a hard superconducting gap while retaining tunable carrier density.…

Mesoscale and Nanoscale Physics · Physics 2017-03-10 D. Sherman , J. S. Yodh , S. M. Albrecht , J. Nygård , P. Krogstrup , C. M. Marcus

We study the formation of Majorana states in superconductors using the Majorana polarization, which can locally evaluate the Majorana character of a given state. We introduce the definition of the Majorana polarization vector and the…

Superconductivity · Physics 2017-10-30 Cristina Bena

Topological insulators (TIs) have attracted immense interest because they host helical surface states. Protected by time-reversal symmetry, they are robust to non-magnetic disorder. When superconductivity is induced in these helical states,…

Mesoscale and Nanoscale Physics · Physics 2014-11-06 A. D. K. Finck , C. Kurter , Y. S. Hor , D. J. Van Harlingen

We predict experimentally accessible signatures for helical Majorana fermions in a topological superconductor by coupling to two quantum dots in the local moment regime (corresponding to spin-$1/2$ impurities). Taking into account RKKY…

Mesoscale and Nanoscale Physics · Physics 2015-02-13 E. Eriksson , A. Zazunov , P. Sodano , R. Egger

The edges of time reversal symmetry breaking topological superconductors support chiral Majorana bound states as well as spontaneous charge currents. The Majorana modes are a robust, topological property, but the charge currents are…

Superconductivity · Physics 2015-03-18 Wen Huang , Samuel Lederer , Edward Taylor , Catherine Kallin
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