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Majorana zero modes (MZMs) are bound midgap topological excitations at the ends of a 1D topological superconductor, which must come in pairs. If the two MZMs in the pair are sufficiently well-separated by a distance much larger than their…

Mesoscale and Nanoscale Physics · Physics 2026-04-22 Haining Pan , Sankar Das Sarma

We theoretically consider the proximity effect in semiconductor-superconductor hybrid nanostructures, which are being extensively studied in the context of the ongoing search for non-Abelian Majorana fermions in solid state systems.…

Mesoscale and Nanoscale Physics · Physics 2013-05-21 Tudor D. Stanescu , S. Das Sarma

Majorana zero modes (MZMs) are exotic excitations (in condensed matter systems) that have potential applications in topological quantum computation. Though MZMs have been predicted on many platforms, their existence of them is still under…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Zhan Cao , Shumeng Chen , Gu Zhang , Dong E. Liu

We consider an interacting nanowire/superconductor heterostructure attached to metallic leads. The device is described by an unusual low-energy model involving spin-1 conduction electrons coupled to a nonlocal spin-1/2 Kondo impurity built…

Strongly Correlated Electrons · Physics 2014-02-11 Martin R. Galpin , Andrew K. Mitchell , Jesada Temaismithi , David E. Logan , Benjamin Béri , Nigel R. Cooper

In 2D chiral p-wave superconductors, the zero-energy Majorana fermion excitations trapped at vortex cores follow non-Abelian statistics which can be potentially exploited to build a topological quantum computer. The Majorana states are…

Strongly Correlated Electrons · Physics 2010-10-01 Jay D. Sau , Roman M. Lutchyn , Sumanta Tewari , S. Das Sarma

We study Majorana zero modes bound to giant vortices in topological superconductors or topological insulator/normal superconductor heterostructures. By expanding in inverse powers of a large winding number $n$, we find an analytic solution…

Mesoscale and Nanoscale Physics · Physics 2023-04-05 Logan Gates , Alexander A. Penin

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 consider Majorana fermions tunneling among an array of vortices in a 2D chiral p-wave superconductor or equivalent material. The amplitude for Majorana fermions to tunnel between a pair of vortices is found to necessarily depend on the…

Superconductivity · Physics 2013-11-25 Rudro R. Biswas

Motivated by a recent experiment in which zero-bias peaks have been observed in scanning tunneling microscopy (STM) experiments performed on chains of magnetic atoms on a superconductor, we show, by generalizing earlier work, that a…

Superconductivity · Physics 2015-03-17 Eugene Dumitrescu , Brenden Roberts , Sumanta Tewari , Jay D. Sau , S. Das Sarma

Signatures of Majorana fermion bound states in one-dimensional topological insulator (TI) nanowires with proximity effect induced superconductivity are studied. The phase diagram and energy spectra are calculated for single TI nanowires and…

Mesoscale and Nanoscale Physics · Physics 2017-04-19 Guang-Yao Huang , H. Q. Xu

There exists a variety of proposals to transform a conventional s-wave superconductor into a topological superconductor, supporting Majorana fermion mid-gap states. A necessary ingredient of these proposals is strong spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2011-11-10 T. -P. Choy , J. M. Edge , A. R. Akhmerov , C. W. J. Beenakker

Through a systematic symmetry and topology analysis we establish that three-dimensional chiral superconductors with strong spin-orbit coupling and odd-parity pairing generically host low-energy nodal quasiparticles that are…

Superconductivity · Physics 2017-02-07 Vladyslav Kozii , Jörn W. F. Venderbos , Liang Fu

We propose a novel optical method to detect the existence of Majorana fermions at the ends of the semiconductor nanowire via the coupling to an electron spin trapped on a carbon nanotube resonator under the control of a strong pump field…

Mesoscale and Nanoscale Physics · Physics 2013-06-19 Hua-Jun Chen , Ka-Di Zhu

We present a pedagogical review of topological superconductivity and its consequences in spin-orbit coupled semiconductor/superconductor heterostructures. We start by reviewing the historical origins of the notions of Dirac and Majorana…

Superconductivity · Physics 2022-09-22 Jay Sau , Sumanta Tewari

The possible realization of Majorana fermions as quasiparticle excitations in condensed matter physics has created much excitement. Most recent studies have focused on Majorana bound states which can serve as topological qubits. More…

The non-Abelian statistics of Majorana fermions, their role in topological quantum computation, and the possibility of realizing them in condensed matter systems, has attracted considerable attention. While there have been recent reports of…

Strongly Correlated Electrons · Physics 2016-02-24 David Nozadze , Nandini Trivedi

A minimal model for the hybrid superconductor-semiconductor nanowire Majorana platform is developed that fully captures the effects of the low-energy renormalization of the nanowire modes arising from the presence of the parent…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 Tudor D. Stanescu , Sankar Das Sarma

Majorana Fermions, strange particles that are their own antiparticles, were predicted in 1937 and have been sought after ever since. In condensed matter they are predicted to exist as vortex core or edge excitations in certain exotic…

Superconductivity · Physics 2013-08-12 Aaron Farrell , T. Pereg-Barnea

Full-shell nanowires have been proposed as an alternative nanowire design in the search of topological superconductivity and Majorana zero modes (MZMs). They are hybrid nanostructures consisting of a semiconductor core fully covered by a…

Mesoscale and Nanoscale Physics · Physics 2024-03-25 Carlos Payá , Samuel D. Escribano , Andrea Vezzosi , Fernando Peñaranda , Ramón Aguado , Pablo San-Jose , Elsa Prada

Semiconductor nanowires such as InAs and InSb are promising materials for studying Majorana zero-modes and demonstrating non-Abelian particle exchange relevant for topological quantum computing. While evidence for Majorana bound states in…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 S. T. Gill , J. Damasco , B. E. Janicek , M. S. Durkin , V. Humbert , S. Gazibegovic , D. Car , E. P. A. M. Bakkers , P. Y. Huang , N. Mason