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Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in…

Mesoscale and Nanoscale Physics · Physics 2022-03-18 Lucia Vigliotti , Fabio Cavaliere , Matteo Carrega , Niccolò Traverso Ziani

For superconducting nanowire with the pairing of extended s-type symmetry, Rashba spin-orbit interaction in a magnetic field, the influence of strong intersite charge correlations on single-particle Majorana excitations is analyzed. This…

Mesoscale and Nanoscale Physics · Physics 2021-05-13 M. S. Shustin , S. V. Aksenov

We propose and investigate a simple one-dimensional model for a single-channel quantum wire hosting electrons that interact repulsively and are subject to a significant spin-orbit interaction. We show that an external Zeeman magnetic field,…

Strongly Correlated Electrons · Physics 2020-10-29 Ren-Bo Wang , Akira Furusaki , Oleg A. Starykh

One of the promising platforms for creating Majorana bound states is a hybrid nanostructure consisting of a semiconducting nanowire covered by a superconductor. We analyze the previously disregarded role of electrostatic interaction in…

Mesoscale and Nanoscale Physics · Physics 2016-03-08 A. Vuik , D. Eeltink , A. R. Akhmerov , M. Wimmer

A recent work [1] demonstrated, for an ideal spinless p+ip superconductor, that Majorana end-states can be realized outside the strict one-dimensional limit, so long as: 1) the sample width does not greatly exceed the superconducting…

Mesoscale and Nanoscale Physics · Physics 2011-08-09 Andrew C. Potter , Patrick A. Lee

We model theoretically a two-dimensional electron gas (2DEG) covered by a superconductor and demonstrate that topological superconducting channels are formed when stripes of the superconducting layer are removed. As a consequence, Majorana…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Michael Hell , Martin Leijnse , Karsten Flensberg

Zero-energy flat bands within the superconducting gap can give rise to competing ordered phases. We investigate such phases in topological superconductors based on the magnetic adatom platform hosting a flat band of Majorana edge states.…

We study Majorana edge states and their topological properties of one-dimensional(1D) and two-dimensional(2D) Rashba semiconductor deposited on iron-based superconductor under the applied Zeeman field for various directions. Using the…

Superconductivity · Physics 2016-01-14 Hiromi Ebisu , Keiji Yada , Hideaki Kasai , Yukio Tanaka

We study the proximity effect between an s-wave superconductor and the surface states of a strong topological insulator. The resulting two dimensional state resembles a spinless p_x+ip_y superconductor, but does not break time reversal…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Liang Fu , C. L. Kane

Majorana zero modes are fractional quantum excitations appearing in pairs, each pair being a building block for quantum computation . Some possible signatures of these excitations have been reported as zero bias peaks at endpoints of…

Majorana bound states, with their non-Abelian properties, are candidates for the realization of fault-tolerant quantum computation. Here we study the influence of long-range many-body interactions on Majorana zero modes present in Kitaev…

Mesoscale and Nanoscale Physics · Physics 2019-10-21 Andrzej Więckowski , Andrzej Ptok

Helical Majorana edge states at the 2D boundaries of 3D topological superconductors can be gapped by a surface Zeeman field. Here we study the effect nested defects imprinted on the Zeeman field can have on the edge states. We demonstrate…

Superconductivity · Physics 2016-08-08 James de Lisle , Giandomenico Palumbo , Adil. A. Gangat , Jiannis K. Pachos

We study a semiconductor wire with strong spin-orbit coupling, which is proximity-coupled to a superconductor with chemical potential disorder. When tunneling at the semiconductor- superconductor interface is very weak, it is known that…

Superconductivity · Physics 2016-11-02 William S. Cole , Jay D. Sau , S. Das Sarma

A pair of counter-propagating Majorana edge modes appears in chiral p-wave superconductors and in other superconducting systems belonging to the same universality class. These modes can be described by an Ising conformal field theory. We…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 Chang-Yu Hou , Fabian Hassler , Anton R. Akhmerov , Johan Nilsson

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

Topological superconductors are predicted to harbor exotic boundary states - Majorana zero-energy modes - whose non-Abelian braiding statistics present a new paradigm for the realization of topological quantum computing. Using…

Majorana bound states are zero-energy excitations of topological superconductors which obey non-Abelian exchange statistics and are basic building blocks for topological quantum computation. In order to observe and exploit their…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Alessio Calzona , Björn Trauzettel

We study the formation of Majorana states in quasi-1D and 2D square lattices with open boundary conditions, with general anisotropic Rashba coupling, in the presence of an applied Zeeman field and in the proximity of a superconductor. For…

Mesoscale and Nanoscale Physics · Physics 2016-04-27 N. Sedlmayr , J. M. Aguiar-Hualde , C. Bena

The spectrum of excitations of the chiral superconducting ring with internal and external radii, comparable with coherence length, trapping a unit flux is calculated. We find within the Bogoliubov-deGennes approach that there exists a pair…

Superconductivity · Physics 2015-06-12 B. Rosenstein , I. Shapiro , B. Ya. Shapiro

Two-dimensional time-reversal-invariant topological superconductors host helical Majorana fermions at their boundary. We study the fate of these edge states under the combined influence of strong interactions and disorder, using the…

Strongly Correlated Electrons · Physics 2023-08-09 Jun Ho Son , Jason Alicea , Olexei I. Motrunich