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After the recognition of the possibility to implement Majorana fermions using the building blocks of solid-state matters, the detection of this peculiar particle has been an intense focus of research. Here we experimentally demonstrate a…

Chiral Majorana edge modes are theoretically proposed to perform braiding operations for the potential quantum computation. Here, we suggest a scheme to regulate trajectories of the chiral Majorana fermion based on a quantum anomalous Hall…

Mesoscale and Nanoscale Physics · Physics 2019-12-10 Qing Yan , Yan-Feng Zhou , Qing-Feng Sun

We propose an easy-to-build easy-to-detect scheme for realizing Majorana fermions at the ends of a chain of magnetic atoms on the surface of a superconductor. Model calculations show that such chains can be easily tuned between trivial and…

Superconductivity · Physics 2013-07-30 S. Nadj-Perge , I. K. Drozdov , B. A. Bernevig , Ali Yazdani

We investigate the interplay between ferromagnetic and superconducting order at the edge of a quantum spin Hall insulator. Using complementary analytical and self-consistent numerical approaches, we study a ferromagnetic Josephson junction…

Superconductivity · Physics 2015-05-27 Annica M. Black-Schaffer , Jacob Linder

We show how a quantum dot with a ballistic single-channel point contact to a superconductor can be created by means of a gate electrode at the edge of a quantum spin Hall insulator (such as an InAs/GaSb quantum well). A weak perpendicular…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 Shuo Mi , D. I. Pikulin , M. Wimmer , C. W. J. Beenakker

Majorana fermions are predicted to localize at the edge of a topological superconductor, a state of matter that can form when a ferromagnetic system is placed in proximity to a conventional superconductor with strong spin-orbit interaction.…

Mesoscale and Nanoscale Physics · Physics 2014-10-06 Stevan Nadj-Perge , Ilya K. Drozdov , Jian Li , Hua Chen , Sangjun Jeon , Jungpil Seo , Allan H. MacDonald , B. Andrei Bernevig , Ali Yazdani

We analyze a series of interacting Majorana Fermion chains with finite range pair interactions with coupling strength $g$ that all exhibit a tri-critical point that separates an Ising critical phase from a supersymmetric gapped phase. We…

Strongly Correlated Electrons · Physics 2025-12-05 Hekai Zhao , Philip Phillips

Several scenarios for realization of edge Majorana modes in quantum chain systems: spin chains, chains of Josephson junctions, and chains of coupled cavities in quantum optics, are considered. For all these systems excitations can be…

Strongly Correlated Electrons · Physics 2015-06-16 A. A. Zvyagin

Superconductivity and the quantum Hall effect are considered to be two cornerstones of condensed matter physics. The realization of hybrid structures where these two effects coexist has recently become an active field of research. In this…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

We present a detailed theoretical study of chiral topological superconductor phases in proximity-superconducting graphene systems based on an effective model inspired by DFT simulations. Inducing s-wave superconductivity to quantum…

Mesoscale and Nanoscale Physics · Physics 2020-09-10 Petra Högl , Tobias Frank , Denis Kochan , Martin Gmitra , Jaroslav Fabian

Chains of magnetic atoms with either strong spin-orbit coupling or spiral magnetic order which are proximity-coupled to superconducting substrates can host topologically non-trivial Majorana bound states. The experimental signature of these…

The Majorana fermion can be described by a real wave function with only two phases (0 and {\pi}) which provide a controllable degree of freedom. We propose a strategy to regulate the phase of the chiral Majorana state by coupling with a…

Mesoscale and Nanoscale Physics · Physics 2018-04-03 Yan-Feng Zhou , Zhe Hou , Ying-Tao Zhang , Qing-Feng Sun

We study Majorana bound states in a disordered chain of semiconductor quantum dots proximity-coupled to an s-wave superconductor. By calculating its topological quantum number, based on the scattering-matrix method and a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2016-04-22 P. Zhang , Franco Nori

We study the p-wave superconducting wire with a periodically modulated chemical potential and show that the Majorana edge states are robust against the periodic modulation. We find that the critical amplitude of modulated potential, at…

Strongly Correlated Electrons · Physics 2012-12-04 Li-Jun Lang , Shu Chen

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

We analyse the control of Majorana zero-energy states by mapping the fermionic system onto a chain of Ising spins. Although the topological protection is lost for the Ising system, the mapping provides additional insight into the nature of…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Stefan Backens , Alexander Shnirman , Yuriy Makhlin , Yuval Gefen , Johan E. Mooij , Gerd Schön

Finite-length one-dimensional topological superconductor wires host localized Majorana zero modes at their ends. In realistic models, these appear only after a topological quantum critical point is crossed by external tuning of parameters.…

Mesoscale and Nanoscale Physics · Physics 2017-10-25 William S. Cole , Jay D. Sau , S. Das Sarma

We consider a Josephson junction consisting of superconductor/ferromagnetic insulator (S/FI) bilayers as electrodes which proximizes a nearby 2D electron gas. By starting from a generic Josephson hybrid planar setup we present an exhaustive…

Superconductivity · Physics 2018-07-11 P. Virtanen , F. S. Bergeret , E. Strambini , F. Giazotto , A. Braggio

The presence of a Majorana bound state in condensed matter systems is often associated to a zero bias peak in conductance measurements. Here, we analyze a system were this paradigm is violated. A Majorana bound state is always present at…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Christoph Fleckenstein , Felix Keidel , Bjoern Trauzettel , Niccolo Traverso Ziani

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang
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