Transition by breaking of analyticity in the ground state of Josephson junction arrays as a static signature of the vortex jamming transition

Handle URI:
http://hdl.handle.net/10754/600064
Title:
Transition by breaking of analyticity in the ground state of Josephson junction arrays as a static signature of the vortex jamming transition
Authors:
Nogawa, Tomoaki; Yoshino, Hajime; Kim, Bongsoo
Abstract:
We investigate the ground state of the irrationally frustrated Josephson junction array with a controlling anisotropy parameter λ that is the ratio of the longitudinal Josephson coupling to the transverse one. We find that the ground state has one-dimensional periodicity whose reciprocal lattice vector depends on λ and is incommensurate with the substrate lattice. Approaching the isotropic point λ=1, the so-called hull function of the ground state exhibits analyticity breaking similar to the Aubry transition in the Frenkel-Kontorova model. We find a scaling law for the harmonic spectrum of the hull functions, which suggests the existence of a characteristic length scale diverging at the isotropic point. This critical behavior is directly connected to the jamming transition previously observed in the current-voltage characteristics by a numerical simulation. On top of the ground state there is a gapless continuous band of metastable states, which exhibit the same critical behavior as the ground state. © 2012 American Physical Society.
Citation:
Nogawa T, Yoshino H, Kim B (2012) Transition by breaking of analyticity in the ground state of Josephson junction arrays as a static signature of the vortex jamming transition. Phys Rev E 85. Available: http://dx.doi.org/10.1103/PhysRevE.85.051132.
Publisher:
American Physical Society (APS)
Journal:
Physical Review E
KAUST Grant Number:
KUK-I1-005-04
Issue Date:
22-May-2012
DOI:
10.1103/PhysRevE.85.051132
PubMed ID:
23004728
Type:
Article
ISSN:
1539-3755; 1550-2376
Sponsors:
This work was supported by a Grant-in-Aid for Scientific Research (C) (Grant No. 21540386), a Grant-in-Aid for Scientific Research on Priority Areas “Novel States of Matter Induced by Frustration”(Grant No. 1905200*), and King Abdullah University of Science and Technology Global Research Partnership (Grant No. KUK-I1-005-04).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorNogawa, Tomoakien
dc.contributor.authorYoshino, Hajimeen
dc.contributor.authorKim, Bongsooen
dc.date.accessioned2016-02-28T06:35:20Zen
dc.date.available2016-02-28T06:35:20Zen
dc.date.issued2012-05-22en
dc.identifier.citationNogawa T, Yoshino H, Kim B (2012) Transition by breaking of analyticity in the ground state of Josephson junction arrays as a static signature of the vortex jamming transition. Phys Rev E 85. Available: http://dx.doi.org/10.1103/PhysRevE.85.051132.en
dc.identifier.issn1539-3755en
dc.identifier.issn1550-2376en
dc.identifier.pmid23004728en
dc.identifier.doi10.1103/PhysRevE.85.051132en
dc.identifier.urihttp://hdl.handle.net/10754/600064en
dc.description.abstractWe investigate the ground state of the irrationally frustrated Josephson junction array with a controlling anisotropy parameter λ that is the ratio of the longitudinal Josephson coupling to the transverse one. We find that the ground state has one-dimensional periodicity whose reciprocal lattice vector depends on λ and is incommensurate with the substrate lattice. Approaching the isotropic point λ=1, the so-called hull function of the ground state exhibits analyticity breaking similar to the Aubry transition in the Frenkel-Kontorova model. We find a scaling law for the harmonic spectrum of the hull functions, which suggests the existence of a characteristic length scale diverging at the isotropic point. This critical behavior is directly connected to the jamming transition previously observed in the current-voltage characteristics by a numerical simulation. On top of the ground state there is a gapless continuous band of metastable states, which exhibit the same critical behavior as the ground state. © 2012 American Physical Society.en
dc.description.sponsorshipThis work was supported by a Grant-in-Aid for Scientific Research (C) (Grant No. 21540386), a Grant-in-Aid for Scientific Research on Priority Areas “Novel States of Matter Induced by Frustration”(Grant No. 1905200*), and King Abdullah University of Science and Technology Global Research Partnership (Grant No. KUK-I1-005-04).en
dc.publisherAmerican Physical Society (APS)en
dc.titleTransition by breaking of analyticity in the ground state of Josephson junction arrays as a static signature of the vortex jamming transitionen
dc.typeArticleen
dc.identifier.journalPhysical Review Een
dc.contributor.institutionUniversity of Tokyo, Tokyo, Japanen
dc.contributor.institutionOsaka University, Suita, Japanen
dc.contributor.institutionChangwon National University, Changwon, South Koreaen
kaust.grant.numberKUK-I1-005-04en

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