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Spatial profile of the Majorana fermion wave function in a one-dimensional $p$-wave superconductors ($\cal{PWS}$) with quasi periodic disorder is shown to exhibit spatial oscillations. These oscillations damp out in the interior of the…

Disordered Systems and Neural Networks · Physics 2017-05-26 Indubala I Satija

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

Topological semimetals such as Weyl or Dirac semimetals with superconductivity have emerged as a new class of topological materials to realize and study Majorana Fermion. This article reports the Density Functional Theory (DFT) calculated…

Superconductivity · Physics 2022-09-13 N. K. Karn , M. M. Sharma , V. P. S. Awana

We present a detailed investigation of the topological phases and Majorana fermion (MF) excitations that arise from the bulk interplay between (un)conventional one/two-band spin-singlet superconductivity and a number of magnetic texture…

Superconductivity · Physics 2022-03-28 Daniel Steffensen , Morten H. Christensen , Brian M. Andersen , Panagiotis Kotetes

High density superconductor-semiconductor-superconductor junctions have a small induced superconducting gap due to the quasiparticle trajectories with a large momentum parallel to the junction having a very long flight time. Because a large…

Mesoscale and Nanoscale Physics · Physics 2020-08-19 Tom Laeven , Bas Nijholt , Michael Wimmer , Anton R. Akhmerov

We prove an index theorem for the existence of Majorana zero modes in a semiconducting thin film with a sizable spin-orbit coupling when it is adjacent to an s-wave superconductor. The theorem, which is analogous to the Jackiw-Rebbi index…

Strongly Correlated Electrons · Physics 2010-01-21 Sumanta Tewari , Jay D. Sau , S. Das Sarma

Among the major approaches that are being pursued for realizing quantum bits, the Majorana-based platform has been the most recent to be launched. It attempts to realize qubits which store quantum information in a topologically-protected…

Mesoscale and Nanoscale Physics · Physics 2021-03-10 Karsten Flensberg , Felix von Oppen , Ady Stern

Majorana fermions (zero modes) are predicted to emerge in nanowire-superconductor heterostructures. This theoretical prediction typically relies on an oversimplified model, where both the nanowire and the superconductor are idealized as…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Guo-Jian Qiao , Zhi-Lei Zhang , Xin Yue , C. P. Sun

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

Due to the charge neutral and localized nature of surface Majorana modes, detection schemes usually rely on local spectroscopy or interference through the Josephson effect. Here, we theoretically study the magnetic response of a…

Superconductivity · Physics 2018-09-20 Luca Chirolli , Francisco Guinea

Theoretically, a pair of Majorana bound states in a topological superconductor forms a single fermionic level even at large separations, implying that the parity information is stored nonlocally. The nonlocality leads to a long-distance…

Mesoscale and Nanoscale Physics · Physics 2020-07-23 Zheng Shi , Piet W. Brouwer , Karsten Flensberg , Leonid I. Glazman , Felix von Oppen

Majorana fermions are long-sought exotic particles that are their own antiparticles. Here we propose to utilize superconducting circuits to construct two superconducting-qubit arrays where Majorana modes can occur. A so-called Majorana…

Superconductivity · Physics 2014-09-23 J. Q. You , Z. D. Wang , Wenxian Zhang , Franco Nori

Artificially engineered topological superconductivity has emerged as a viable route to create Majorana modes, exotic quasiparticles which have raised great expectations for storing and manipulating information in topological quantum…

It is shown that the presence of the Majorana fermion edge states along the perimeter of a topological superconductor can be probed using an interacting quantum dot coupled to three terminals: two spin-polarized (ferromagnetic) leads and…

Strongly Correlated Electrons · Physics 2011-11-15 Rok Zitko

Majorana fermions are particles identical to their own antiparticles. They have been theoretically predicted to exist in topological superconductors. We report electrical measurements on InSb nanowires contacted with one normal (Au) and one…

Mesoscale and Nanoscale Physics · Physics 2012-04-13 V. Mourik , K. Zuo , S. M. Frolov , S. R. Plissard , E. P. A. M. Bakkers , L. P. Kouwenhoven

Majorana fermions were envisioned by E. Majorana in 1935 to describe neutrinos. Recently it has been shown that they can be realized even in a class of electron-doped semiconductors, on which ordinary s-wave superconductivity is proximity…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Li Mao , Ming Gong , E. Dumitrescu , Sumanta Tewari , Chuanwei Zhang

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

We investigate the Majorana fermions in a semiconductor nanostructure with two wires connected through a ring. The nanostructure is mirror symmetric and in the proximity of a superconductor. The Rashba spin-orbit coupling and a magnetic…

Mesoscale and Nanoscale Physics · Physics 2014-08-01 B. Y. Sun , M. W. Wu

In this article, we give a comprehensive review of recent progress in research on symmetry-protected topological superfluids and topological crystalline superconductors, and their physical consequences such as helical and chiral Majorana…

As a promising candidate system to realize topological superconductivity, the system of a 3D topological insulator (TI) grown on top of the s-wave superconductor has been extensively studied. To access the topological superconductivity…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Youngseok Kim , Timothy M. Philip , Moon Jip Park , Matthew J. Gilbert