HackerPapers

arXiv:cond-mat/0010440cond-mat.mes-hall

Unpaired Majorana fermions in quantum wires

Alexei Kitaev

Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.

Abstract

Certain one-dimensional Fermi systems have an energy gap in the bulk spectrum while boundary states are described by one Majorana operator per boundary point. A finite system of length $L$ possesses two ground states with an energy difference proportional to $\exp(-L/l_0)$ and different fermionic parities. Such systems can be used as qubits since they are intrinsically immune to decoherence. The property of a system to have boundary Majorana fermions is expressed as a condition on the bulk electron spectrum. The condition is satisfied in the presence of an arbitrary small energy gap induced by proximity of a 3-dimensional p-wave superconductor, provided that the normal spectrum has an odd number of Fermi points in each half of the Brillouin zone (each spin component counts separately).

arXiv comments
16 pages, 5 figures, Latex and epsf, to be included in the proceedings of the Mesoscopic And Strongly Correlated Electron Systems conference (9-16 July 2000, Chernogolovka, Moscow Region, Russia), one reference added
Journal reference
DOI
doi:10.1070/1063-7869/44/10S/S29
Subjects
cond-mat.mes-hallMesoscale and Nanoscale Physics quant-phQuantum Physics

On Hacker News

Linked by 1 identifiable commenter in 1 comment across 1 thread, from Sep 2021 to Sep 2021.

Comments linking this paper, per year.

Discussed in comments1 thread

    • Yeah probably a bit of an exaggeration. "Major" ... "Majorona particle" I can see how one can make a subconscious connection there :-) I guess I wouldn't call it major but rather "exiting" strategy. The theoretical result from Kitaev [1], from Microsoft research, was certainly…

      rdtscView on HNParent context

Submitted to Hacker News

Connected through shared HN threads, not inferred similarity or a recommendation.