Theory of Majorana zero modes in unconventional superconductors

Y Tanaka, S Tamura, J Cayao - Progress of Theoretical and …, 2024 - academic.oup.com
Abstract Majorana fermions are spin-1/2 neutral particles that are their own antiparticles and
were initially predicted by Ettore Majorana in particle physics but their observation still …

Odd-frequency superconducting pairing in one-dimensional systems

J Cayao, C Triola, AM Black-Schaffer - The European Physical Journal …, 2020 - Springer
Odd-frequency superconductivity represents a truly unconventional ordered state which, in
contrast to conventional superconductivity, exhibits pair correlations which are odd in …

Majorana bound states in semiconducting nanostructures

K Laubscher, J Klinovaja - Journal of Applied Physics, 2021 - pubs.aip.org
In this Tutorial, we give a pedagogical introduction to Majorana bound states (MBSs) arising
in semiconducting nanostructures. We start by briefly reviewing the well-known Kitaev chain …

The Role of Odd‐Frequency Pairing in Multiband Superconductors

C Triola, J Cayao, AM Black‐Schaffer - Annalen der Physik, 2020 - Wiley Online Library
Recent progress in the understanding of multiband superconductivity and its relationship to
odd‐frequency pairing are reviewed herein. The discussion begins by reviewing the …

Exceptional odd-frequency pairing in non-Hermitian superconducting systems

J Cayao, AM Black-Schaffer - Physical Review B, 2022 - APS
We first show the realization of exceptional points in a non-Hermitian superconducting
system based on a conventional superconductor and then demonstrate that, surprisingly, the …

Phase-tunable electron transport assisted by odd-frequency Cooper pairs in topological Josephson junctions

J Cayao, P Dutta, P Burset, AM Black-Schaffer - Physical Review B, 2022 - APS
We consider a finite-size topological Josephson junction formed at the edge of a two-
dimensional topological insulator in proximity to conventional superconductors and study …

parafermions in Weakly Interacting Superconducting Constrictions at the Helical Edge of Quantum Spin Hall Insulators

C Fleckenstein, NT Ziani, B Trauzettel - Physical Review Letters, 2019 - APS
Parafermions are generalizations of Majorana fermions that may appear in interacting
topological systems. They are known to be powerful building blocks of topological quantum …

Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling

J Cayao, AM Black-Schaffer - Physical Review B, 2018 - APS
We consider normal-superconductor (NS) and superconductor-normal-superconductor
(SNS) junctions based on one-dimensional nanowires with Rashba spin-orbit coupling and …

From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity

NT Ziani, C Fleckenstein, L Vigliotti, B Trauzettel… - Physical Review B, 2020 - APS
Majorana bound states are interesting candidates for applications in topological quantum
computation. Low-energy models allowing one to grasp their properties are hence …

Odd-frequency pairs in chiral symmetric systems: Spectral bulk-boundary correspondence and topological criticality

S Tamura, S Hoshino, Y Tanaka - Physical Review B, 2019 - APS
Odd-frequency Cooper pairs with chiral symmetry emerging at the edges of topological
superconductors are a useful physical quantity for characterizing the topological properties …