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We identify three-dimensional higher-order superconductors characterized by the coexistence of one-dimensional Majorana hinge states and gapless surface sates. We show how such superconductors can be obtained starting from the model of a…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Sayed Ali Akbar Ghorashi , Xiang Hu , Taylor L. Hughes , Enrico Rossi

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

The iron-based superconductor FeTe$_{0.55}$Se$_{0.45}$ is a peculiar material: it hosts a surface state with a Dirac dispersion, is a putative topological superconductor hosting Majorana modes in vortices, and has an unusually low Fermi…

Majorana fermions are predicted to play a crucial role in condensed matter realizations of topological quantum computation. These heretofore undiscovered quasiparticles have been predicted to exist at the cores of vortex excitations in…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hsiang-Hsuan Hung , Pouyan Ghaemi , Taylor L. Hughes , Matthew J. Gilbert

In proximity to an s-wave superconductor, a one- or two-dimensional, electron- or hole-doped semiconductor with a sizable spin-orbit coupling and a Zeeman splitting can support a topological superconducting (TS) state. The semiconductor TS…

Superconductivity · Physics 2012-02-28 Jay D. Sau , Sumanta Tewari , S. Das Sarma

We propose an experimental setup of an interferometer for the observation of neutral Majorana fermions on topological insulator - superconductor - ferromagnet junctions. We show that the extended lattice defects naturally present in…

Mesoscale and Nanoscale Physics · Physics 2011-08-02 Andrej Mesaros , Stefanos Papanikolaou , Jan Zaanen

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

Topological superconductivity has been sought for in a variety of heterostructure systems, the interest being that a material displaying such a phenomenon could prove to be the ideal platform to support Majorana fermions, which in turn…

Superconductivity · Physics 2021-01-22 N. Zaki , G. Gu , A. M. Tsvelik , C. Wu , P. D. Johnson

Much of the current experimental efforts for detecting Majorana zero modes have been centered on probing the boundary of quantum wires with strong spin-orbit coupling. The same type of Majorana zero mode can also be realized at crystalline…

Superconductivity · Physics 2016-05-09 Suk Bum Chung , Cheung Chan , Hong Yao

Two-dimensional topological superconductivity has attracted great interest due to the emergence of Majorana modes bound to vortices and propagating along edges. However, due to its rare appearance in natural compounds, experimental…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 J. L. Lado , M. Sigrist

The idea of employing non-Abelian statistics for error-free quantum computing ignited interest in recent reports of topological surface superconductivity and Majorana zero modes (MZMs) in FeTe$_{0.55}$Se$_{0.45}$. An associated puzzle is…

Certain types of topological superconductors and superfluids are known to host protected Majorana zero modes in cores of Abrikosov vortices. When such vortices are arranged in a dense periodic lattice one expects zero modes from neighboring…

Superconductivity · Physics 2015-10-28 Tianyu Liu , M. Franz

Topological superconductors (TSCs) are correlated quantum states with simultaneous off-diagonal long-range order and nontrivial topological invariants. They produce gapless or zero energy boundary excitations, including Majorana zero modes…

Superconductivity · Physics 2021-03-05 Yi Zhang , Kun Jiang , Fuchun Zhang , Jian Wang , Ziqiang Wang

Topological superconductivity is an exotic state of matter that supports Majorana zero-modes, which are surface modes in 3D, edge modes in 2D or localized end states in 1D. In the case of complete localization these Majorana modes obey…

Just like insulators can host topological Dirac states at their edges, superconductors can also exhibit topological phases characterized by Majorana edge states. Remarkable zero-energy states have been recently observed at the two ends of…

Recently, iron-chalcogenide superconductors have emerged as a new and promising platform for studying and manipulating Majorana zero mode (MZM). By combining topological band structure and superconductivity in a multiband material, they…

Topological superconductors are exotic gapped phases of matter hosting Majorana mid-gap states on their boundary. In conventional topological superconductors, Majorana in-gap states appear in the form of either localized zero-dimensional…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Junyeong Ahn , Bohm-Jung Yang

The search for Majorana bound state (MBS) has recently emerged as one of the most active research areas in condensed matter physics, fueled by the prospect of using its non-Abelian statistics for robust quantum computation. A highly…

Topological superconductors, characterized by topologically nontrivial states residing in a superconducting gap, are a recently discovered class of materials having Majorana Fermions. The interplay of superconductivity and topological…

Materials Science · Physics 2020-10-12 Peng-Fei Liu , Jingyu Li , Xin-Hai Tu , Huabing Yin , Baisheng Sa , Junrong Zhang , David J. Singh , Bao-Tian Wang

Proximity-induced superconductivity in low-dimensional systems offers a powerful pathway to engineer topological superconducting phases in, otherwise, non-superconducting systems. These exotic phases are of fundamental and technological…

Mesoscale and Nanoscale Physics · Physics 2026-05-05 M. García Olmos , Y. Baba , R. A. Molina , M. Amado