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Proximity coupled spin-orbit quantum wires have recently been shown to support midgap Majorana states at critical points. We show that in the presence of disorder these systems are prone to the buildup of a second bandcenter anomaly, which…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Dmitry Bagrets , Alexander Altland

We propose a versatile platform to investigate the existence of Majorana bound states (MBSs) and their non-Abelian statistics through braiding. This implementation combines a two-dimensional electron gas formed in a semiconductor quantum…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 Geoffrey L. Fatin , Alex Matos-Abiague , Benedikt Scharf , Igor Žutić

Noncentrosymmetric superconductors with line nodes are expected to possess topologically protected flat zero-energy bands of surface states, which can be described as Majorana modes. We here investigate their fate if residual interactions…

Strongly Correlated Electrons · Physics 2020-02-05 Janna E. Rückert , Gergő Roósz , Carsten Timm

One-dimensional systems comprising s-wave superconductivity with meticulously tuned magnetism and spin-orbit coupling can realize topologically gapped superconductors hosting Majorana edge modes whose stability is determined by the gap's…

Magnetic atoms on a superconductor give rise to Yu-Shiba-Rusinov (YSR) states within the superconducting energy gap. A spin chain of magnetic adatoms on an s-wave superconductor may lead to topological superconductivity accompanied by the…

Superconductivity · Physics 2018-08-15 Anand Kamlapure , Lasse Cornils , Jens Wiebe , Roland Wiesendanger

A hybrid semiconductor-superconductor nanowire on the top of a magnetic film in the stripe phase experiences a magnetic texture from the underlying fringing fields. The Zeeman interaction with the highly inhomogeneous magnetic textures…

We study the formation of Majorana states in superconductors using the Majorana polarization, which can locally evaluate the Majorana character of a given state. We introduce the definition of the Majorana polarization vector and the…

Superconductivity · Physics 2017-10-30 Cristina Bena

In this paper we show that for a range of configurations of inhomogeneous magnetic fields it is possible to create flat bands of Majorana states localized on the edges of 2-d lattices. Majorana bound states have been predicted to exist in…

Mesoscale and Nanoscale Physics · Physics 2015-03-12 N. Sedlmayr , J. M. Aguiar-Hualde , C. Bena

Majorana corner modes appearing in two-dimensional second-order topological superconductors have great potential applications for fault-tolerant topological quantum computations. We demonstrate that in the presence of an in-plane magentic…

Superconductivity · Physics 2021-04-07 S. Ikegaya , W. B. Rui , D. Manske , Andreas P. Schnyder

We study by means of the recursive Green's function technique the local density-of-states of (finite and semi-infinite) multi-band spin-orbit coupled semiconducting nanowires in proximity to an s-wave superconductor and attached to…

Mesoscale and Nanoscale Physics · Physics 2015-03-19 Marco Gibertini , Fabio Taddei , Marco Polini , Rosario Fazio

We study the emergence of Majorana zero modes (MZMs) at the ends of a finite double zigzag honeycomb nanoribbon (zHNR). We show that a double zHNR geometry can host spin-polarized MZMs at its ends. We considered a minimal model composed by…

Mesoscale and Nanoscale Physics · Physics 2021-08-18 R. C. Bento Ribeiro , J. H. Correa , L. S. Ricco , A. C. Seridonio , M. S. Figueira

Majorana 'zero-modes' are expected to be immune to decoherence. The primary method for their characterization in a 1D topological superconductor, is measuring the tunneling current into the edge of the superconductor. Presently, the…

Mesoscale and Nanoscale Physics · Physics 2018-07-19 Anna Grivnin , Ella Bor , Moty Heiblum , Yuval Oreg , Hadas Shtrikman

We consider a wire network of ferromagnetic impurities on the surface of an $s$-wave superconductor with strong Rashba spin-orbit interaction. Within the topological phase, zero-energy Majorana fermions appear at wire end-points as well as…

Superconductivity · Physics 2016-09-14 Kristofer Björnson , Annica M. Black-Schaffer

We study a one-dimensional wire with strong Rashba and Dresselhaus spin-orbit coupling (SOC), which supports Majorana fermions when subject to a Zeeman magnetic field and in proximity of a superconductor. Using both analytical and numerical…

Mesoscale and Nanoscale Physics · Physics 2013-05-30 Doru Sticlet , Cristina Bena , Pascal Simon

We investigate the bulk-boundary correspondence in two-dimensional type-I semi-Dirac materials with band inversion and Rashba spin-orbit coupling. Employing a dimensional reduction framework, we identify the Zak phase along the…

Mesoscale and Nanoscale Physics · Physics 2025-06-02 Marta García-Olmos , Yuriko Baba , Alexander López , Mario Amado , Rafael A. Molina

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor and calculate the topological phase diagram as a function of the chemical potential and magnetic field. The non-trivial topological state…

Superconductivity · Physics 2015-03-19 Tudor Stanescu , Roman M. Lutchyn , S. Das Sarma

Majorana bound states (MBSs) are quasiparticles which are their own antiparticles. They are predicted to emerge as zero-energy modes localized at the boundary of a topological superconductor. No intrinsic topological superconductor is known…

Mesoscale and Nanoscale Physics · Physics 2024-09-27 William F. Schiela , Peng Yu , Javad Shabani

Bringing magnetic metals into superconducting states represents an important approach for realizing unconventional superconductors and potentially even topological superconductors. Altermagnetism, classified as a third basic collinear…

Superconductivity · Physics 2023-11-07 Di Zhu , Zheng-Yang Zhuang , Zhigang Wu , Zhongbo Yan

We discuss the properties of topologically nontrivial superconducting phases and the conditions for their realization in condensed matter, and the principles for identifying Majorana bound states (MBSs). Along with the well-known Kitaev…

Mesoscale and Nanoscale Physics · Physics 2022-05-23 V. V. Val'kov , M. S. Shustin , S. V. Aksenov , A. O. Zlotnikov , A. D. Fedoseev , V. A. Mitskan , M. Yu. Kagan

Fully gapped, spin singlet superconductors with antisymmetric spin-orbit coupling in a Zeeman magnetic field provide a promising route to realize superconducting states with non-Abelian topological order and therefore fault-tolerant quantum…

Superconductivity · Physics 2023-06-14 Peter Doak , Giovanni Balduzzi , Pontus Laurell , Elbio Dagotto , Thomas A. Maier
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