New directions in the pursuit of Majorana fermions in solid state systems

J Alicea - Reports on progress in physics, 2012 - iopscience.iop.org
The 1937 theoretical discovery of Majorana fermions—whose defining property is that they
are their own anti-particles—has since impacted diverse problems ranging from neutrino …

Search for Majorana fermions in superconductors

CWJ Beenakker - Annu. Rev. Condens. Matter Phys., 2013 - annualreviews.org
Majorana fermions (particles that are their own antiparticle) may or may not exist in nature as
elementary building blocks, but in condensed matter they can be constructed out of electron …

Evidence of topological superconductivity in planar Josephson junctions

A Fornieri, AM Whiticar, F Setiawan, E Portolés… - Nature, 2019 - nature.com
Majorana zero modes—quasiparticle states localized at the boundaries of topological
superconductors—are expected to be ideal building blocks for fault-tolerant quantum …

Flux-induced topological superconductivity in full-shell nanowires

S Vaitiekėnas, GW Winkler, B Van Heck, T Karzig… - Science, 2020 - science.org
INTRODUCTION Majorana zero modes (MZMs) localized at the ends of one-dimensional
topological superconductors are promising candidates for fault-tolerant quantum computing …

Superconducting diode effect due to magnetochiral anisotropy in topological insulators and Rashba nanowires

HF Legg, D Loss, J Klinovaja - Physical Review B, 2022 - APS
The critical current of a superconductor can depend on the direction of current flow due to
magnetochiral anisotropy when both inversion and time-reversal symmetry are broken, an …

[HTML][HTML] Majorana nanowires for topological quantum computation

P Marra - Journal of Applied Physics, 2022 - pubs.aip.org
Majorana bound states are quasiparticle excitations localized at the boundaries of a
topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle–hole …

Hunting for majoranas

A Yazdani, F Von Oppen, BI Halperin, A Yacoby - Science, 2023 - science.org
Over the past decade, there have been considerable efforts to observe non-abelian
quasiparticles in novel quantum materials and devices. These efforts are motivated by the …

Topological superconducting phase in helical Shiba chains

F Pientka, LI Glazman, F Von Oppen - Physical Review B—Condensed Matter …, 2013 - APS
Recently, it has been suggested that topological superconductivity and Majorana end states
can be realized in a chain of magnetic impurities on the surface of an s-wave …

Flux-controlled quantum computation with Majorana fermions

T Hyart, B Van Heck, IC Fulga, M Burrello… - Physical Review B …, 2013 - APS
Majorana fermions hold promise for quantum computation, because their non-Abelian
braiding statistics allows for topologically protected operations on quantum information …

Search for non-Abelian Majorana braiding statistics in superconductors

C Beenakker - SciPost Physics Lecture Notes, 2020 - scipost.org
This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana
zero-modes) in topological superconductors. That" Holy Grail" of topological quantum …