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An external magnetic field is needed to drive a nanowire in proximity to an s-wave superconductor into a topological regime which supports Majorana end states. However, a magnetic field generally suppresses the proximity superconducting gap…

Superconductivity · Physics 2020-01-10 Ying-Ming Xie , Benjamin T. Zhou , T. K. Ng , K. T. Law

Recent experiments have provided evidence that one-dimensional (1D) topological superconductivity can be realized experimentally by placing transition metal atoms that form a ferromagnetic chain on a superconducting substrate. We address…

Mesoscale and Nanoscale Physics · Physics 2015-01-08 Jian Li , Hua Chen , Ilya K. Drozdov , A. Yazdani , B. Andrei Bernevig , A. H. MacDonald

Magnetotransport through cylindrical topological insulator (TI) nanowires is governed by the interplay between quantum confinement and geometric (Aharonov-Bohm and Berry) phases. Here, we argue that the much broader class of TI nanowires…

Mesoscale and Nanoscale Physics · Physics 2020-04-01 Raphael Kozlovsky , Ansgar Graf , Denis Kochan , Klaus Richter , Cosimo Gorini

Semiconductor nanowires have opened new research avenues in quantum transport owing to their confined geometry and electrostatic tunability. They have offered an exceptional testbed for superconductivity, leading to the realization of…

When a topological insulator is made into a nanowire, the interplay between topology and size quantization gives rise to peculiar one-dimensional states whose energy dispersion can be manipulated by external fields. In the presence of…

Proximity induced superconducting energy gap in the surface states of topological insulators has been predicted to host the much wanted Majorana fermions for fault tolerant quantum computation. Recent theoretically proposed architectures…

Mesoscale and Nanoscale Physics · Physics 2018-11-26 Biplab Bhattacharyya , V. P. S. Awana , T. D. Senguttuvan , V. N. Ojha , Sudhir Husale

Theoretical research suggests a emergence of the Majorana bound states at the ends of the nanowires. Experimental verifications of said concept has already been executed, e.g., in superconductor/semiconductor nanowire devices where…

Mesoscale and Nanoscale Physics · Physics 2020-12-01 Aksel Kobiałka , Andrzej Ptok

Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We…

Mesoscale and Nanoscale Physics · Physics 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

Mesoscale and Nanoscale Physics · Physics 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

Many efforts have been made in the past decade to realize topological superconductivity using superconducting proximity effect, but an ideal platform is still lacking. A 3D topological insulator (TI) is promising for this purpose due to the…

Mesoscale and Nanoscale Physics · Physics 2025-08-18 Ella Nikodem , Jakob Schluck , Henry F. Legg , Max Geier , Michal Papaj , Mahasweta Bagchi , Liang Fu , Yoichi Ando

The hybrid nanowire consisting of semiconductor with proximity to superconductor is expected to serve as an experimental platform to display Majorana zero modes. By rederiving its effective Kitaev model with spins, we discover a novel…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Guo-Jian Qiao , Sheng-Wen Li , C. P. Sun

A Majorana-based qubit can form within the fermion parity subspace of a two-island topological superconductor setup consisting of four Majorana zero modes. We study the relaxation time of this Majorana qubit induced by the intrinsic…

Mesoscale and Nanoscale Physics · Physics 2018-09-05 Yang Song , S. Das Sarma

We consider electrons in tubular nanowires with prismatic geometry and infinite length. Such a model corresponds to a core-shell nanowire with an insulating core and a conductive shell. In a prismatic shell the lowest energy states are…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 Miguel Urbaneja Torres , Anna Sitek , Sigurdur I. Erlingsson , Gunnar Thorgilsson , Vidar Gudmundsson , Andrei Manolescu

We perform a theoretical study of the orbital effect of a magnetic field on a proximity-coupled islands array of $p_{x}+ip_{y}$ topological superconductors. To describe the system, we generalize the tight-binding model of the Hofstadter…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Omri Lesser , Yuval Oreg

Predictions of topological p-wave superconductivity and Majorana zero modes (MZMs) in hybrid superconductor-semiconductor nanowires have been difficult to realize experimentally. Consequently, researchers are actively exploring alternative…

Mesoscale and Nanoscale Physics · Physics 2025-05-20 Francisco Lobo , Elsa Prada , Pablo San-Jose

We investigate the emergence of topological superconductivity and Majorana zero modes in the two-dimensional electron gas formed at the LaAlO$_3$/SrTiO$_3$ (001) interface. Using a realistic multiband tight binding model that incorporates…

Mesoscale and Nanoscale Physics · Physics 2026-03-20 Piotr Żeberek , Paweł Wójcik

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 modes are zero-energy excitations of a topological superconductor that exhibit non-Abelian statistics. Following proposals for their detection in a semiconductor nanowire coupled to an s-wave superconductor, several tunneling…

Majorana bound states (MBSs) located at the ends of a hybrid superconductor-semiconductor nanowire are only true zero modes if their characteristic localization length is much smaller than the nanowire length, $\xi_M\ll L$. Otherwise, their…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 Carlos Payá , Pablo San-Jose , Carlos J. Sánchez Martínez , Ramón Aguado , Elsa Prada

Low dimensional semiconducting structures with strong spin-orbit interaction (SOI) and induced superconductivity attracted much interest in the search for topological superconductors. Both the strong SOI and hard superconducting gap are…

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