dc.contributor.author
Kells, G.
dc.contributor.author
Lahtinen, V.
dc.contributor.author
Vala, J.
dc.date.accessioned
2018-06-08T03:48:22Z
dc.date.available
2015-04-21T13:34:56.694Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/15974
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-20160
dc.description.abstract
We show that networks of superconducting topological nanowires can realize the
physics of exactly solvable Kitaev spin models on trivalent lattices. This
connection arises from the low-energy theory of both systems being described
by a tight-binding model of Majorana modes. In Kitaev spin models the Majorana
description provides a convenient representation to solve the model, whereas
in an array of Josephson junctions of topological nanowires it arises from
localized physical Majorana modes tunneling between the wire ends. We
explicitly show that an array of junctions of three wires—a setup relevant to
topological quantum computing with nanowires—can realize the Yao-Kivelson
model, a variant of Kitaev spin models on a decorated honeycomb lattice.
Employing properties of the latter, we show that the network can be
constructed to give rise to two-dimensional collective topological states
characterized by Chern numbers ν=0,±1, and ±2, and that defects in the array
can be associated with vortex-like quasiparticle excitations. In addition we
show that the collective states are stable in the presence of disorder and
superconducting phase fluctuations. When the network is operated as a quantum
information processor, the connection to Kitaev spin models implies that
decoherence mechanisms can in general be understood in terms of proliferation
of the vortex-like quasiparticles.
en
dc.rights.uri
http://journals.aps.org/authors/transfer-of-copyright-agreementt
dc.subject.ddc
500 Naturwissenschaften und Mathematik::530 Physik
dc.title
Kitaev spin models from topological nanowire networks
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation
Physical Review B. - 89 (2014), 7, Artikel Nr. 075122
dc.identifier.sepid
44245
dcterms.bibliographicCitation.doi
10.1103/PhysRevB.89.075122
dcterms.bibliographicCitation.url
http://dx.doi.org/10.1103/PhysRevB.89.075122
refubium.affiliation
Physik
de
refubium.affiliation.other
Institut für Theoretische Physik
refubium.mycore.fudocsId
FUDOCS_document_000000022237
refubium.resourceType.isindependentpub
no
refubium.mycore.derivateId
FUDOCS_derivate_000000004789
dcterms.accessRights.openaire
open access
dcterms.isPartOf.issn
1098-0121