Antiferromagnetic ordering in arrays of superconducting pi-rings

J.R. Kirtley, C.C. Tsuei, A. Ariando, H.J.H. Smilde, Johannes W.M. Hilgenkamp

Research output: Contribution to journalArticleAcademicpeer-review

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Abstract

We report experiments in which continuous YBa2Cu3O7¿delta-Nb junctions with internal sign changes in the Josephson coupling, as well as one-dimensional (1D) and two-dimensional (2D) arrays of YBa2Cu3O7¿delta-Nb pi-rings, are cooled through the superconducting transition temperature of the Nb in various magnetic fields. These systems have degenerate ground states with either clockwise or counter-clockwise spontaneous circulating supercurrents. The final flux state of each facet corner in the junctions and each ring in the arrays was determined using scanning superconducting quantum interference device (SQUID) microscopy. In the continuous junctions, fabricated with facets alternating between alignment parallel to a [100] axis of the YBCO and rotated 90° to that axis, half-fluxon Josephson vortices order strongly into an arrangement with alternating signs of their magnetic flux. We demonstrate that this ordering is driven by phase coupling and model the cooling process with a numerical solution of the Sine-Gordon equation. The 2D ring arrays couple to each other through the magnetic flux generated by the spontaneous supercurrents. Using pi-rings for the 2D flux coupling experiments eliminates one source of static disorder seen in similar experiments using conventional superconducting rings [Davidovic et al., Phys. Rev. Lett. 76, 815 (1996)], since pi-rings have doubly degenerate ground states in the absence of an applied field. Although anti-ferromagnetic ordering occurs, with larger negative bond orders than previously reported for arrays of conventional rings, ordering over more than a few lattice spacings is never observed in the 2D arrays, even in geometries without geometric frustration. Monte Carlo simulations of the 2D array cooling process are presented and compared with the experiment.
Original languageUndefined
Pages (from-to)214521-
JournalPhysical review B: Condensed matter and materials physics
Volume72
Issue number21
DOIs
Publication statusPublished - 2005

Keywords

  • METIS-227047
  • IR-53794

Cite this

Kirtley, J.R. ; Tsuei, C.C. ; Ariando, A. ; Smilde, H.J.H. ; Hilgenkamp, Johannes W.M. / Antiferromagnetic ordering in arrays of superconducting pi-rings. In: Physical review B: Condensed matter and materials physics. 2005 ; Vol. 72, No. 21. pp. 214521-.
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abstract = "We report experiments in which continuous YBa2Cu3O7¿delta-Nb junctions with internal sign changes in the Josephson coupling, as well as one-dimensional (1D) and two-dimensional (2D) arrays of YBa2Cu3O7¿delta-Nb pi-rings, are cooled through the superconducting transition temperature of the Nb in various magnetic fields. These systems have degenerate ground states with either clockwise or counter-clockwise spontaneous circulating supercurrents. The final flux state of each facet corner in the junctions and each ring in the arrays was determined using scanning superconducting quantum interference device (SQUID) microscopy. In the continuous junctions, fabricated with facets alternating between alignment parallel to a [100] axis of the YBCO and rotated 90° to that axis, half-fluxon Josephson vortices order strongly into an arrangement with alternating signs of their magnetic flux. We demonstrate that this ordering is driven by phase coupling and model the cooling process with a numerical solution of the Sine-Gordon equation. The 2D ring arrays couple to each other through the magnetic flux generated by the spontaneous supercurrents. Using pi-rings for the 2D flux coupling experiments eliminates one source of static disorder seen in similar experiments using conventional superconducting rings [Davidovic et al., Phys. Rev. Lett. 76, 815 (1996)], since pi-rings have doubly degenerate ground states in the absence of an applied field. Although anti-ferromagnetic ordering occurs, with larger negative bond orders than previously reported for arrays of conventional rings, ordering over more than a few lattice spacings is never observed in the 2D arrays, even in geometries without geometric frustration. Monte Carlo simulations of the 2D array cooling process are presented and compared with the experiment.",
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year = "2005",
doi = "10.1103/PhysRevB.72.214521",
language = "Undefined",
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pages = "214521--",
journal = "Physical review B: Condensed matter and materials physics",
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Antiferromagnetic ordering in arrays of superconducting pi-rings. / Kirtley, J.R.; Tsuei, C.C.; Ariando, A.; Smilde, H.J.H.; Hilgenkamp, Johannes W.M.

In: Physical review B: Condensed matter and materials physics, Vol. 72, No. 21, 2005, p. 214521-.

Research output: Contribution to journalArticleAcademicpeer-review

TY - JOUR

T1 - Antiferromagnetic ordering in arrays of superconducting pi-rings

AU - Kirtley, J.R.

AU - Tsuei, C.C.

AU - Ariando, A.

AU - Smilde, H.J.H.

AU - Hilgenkamp, Johannes W.M.

PY - 2005

Y1 - 2005

N2 - We report experiments in which continuous YBa2Cu3O7¿delta-Nb junctions with internal sign changes in the Josephson coupling, as well as one-dimensional (1D) and two-dimensional (2D) arrays of YBa2Cu3O7¿delta-Nb pi-rings, are cooled through the superconducting transition temperature of the Nb in various magnetic fields. These systems have degenerate ground states with either clockwise or counter-clockwise spontaneous circulating supercurrents. The final flux state of each facet corner in the junctions and each ring in the arrays was determined using scanning superconducting quantum interference device (SQUID) microscopy. In the continuous junctions, fabricated with facets alternating between alignment parallel to a [100] axis of the YBCO and rotated 90° to that axis, half-fluxon Josephson vortices order strongly into an arrangement with alternating signs of their magnetic flux. We demonstrate that this ordering is driven by phase coupling and model the cooling process with a numerical solution of the Sine-Gordon equation. The 2D ring arrays couple to each other through the magnetic flux generated by the spontaneous supercurrents. Using pi-rings for the 2D flux coupling experiments eliminates one source of static disorder seen in similar experiments using conventional superconducting rings [Davidovic et al., Phys. Rev. Lett. 76, 815 (1996)], since pi-rings have doubly degenerate ground states in the absence of an applied field. Although anti-ferromagnetic ordering occurs, with larger negative bond orders than previously reported for arrays of conventional rings, ordering over more than a few lattice spacings is never observed in the 2D arrays, even in geometries without geometric frustration. Monte Carlo simulations of the 2D array cooling process are presented and compared with the experiment.

AB - We report experiments in which continuous YBa2Cu3O7¿delta-Nb junctions with internal sign changes in the Josephson coupling, as well as one-dimensional (1D) and two-dimensional (2D) arrays of YBa2Cu3O7¿delta-Nb pi-rings, are cooled through the superconducting transition temperature of the Nb in various magnetic fields. These systems have degenerate ground states with either clockwise or counter-clockwise spontaneous circulating supercurrents. The final flux state of each facet corner in the junctions and each ring in the arrays was determined using scanning superconducting quantum interference device (SQUID) microscopy. In the continuous junctions, fabricated with facets alternating between alignment parallel to a [100] axis of the YBCO and rotated 90° to that axis, half-fluxon Josephson vortices order strongly into an arrangement with alternating signs of their magnetic flux. We demonstrate that this ordering is driven by phase coupling and model the cooling process with a numerical solution of the Sine-Gordon equation. The 2D ring arrays couple to each other through the magnetic flux generated by the spontaneous supercurrents. Using pi-rings for the 2D flux coupling experiments eliminates one source of static disorder seen in similar experiments using conventional superconducting rings [Davidovic et al., Phys. Rev. Lett. 76, 815 (1996)], since pi-rings have doubly degenerate ground states in the absence of an applied field. Although anti-ferromagnetic ordering occurs, with larger negative bond orders than previously reported for arrays of conventional rings, ordering over more than a few lattice spacings is never observed in the 2D arrays, even in geometries without geometric frustration. Monte Carlo simulations of the 2D array cooling process are presented and compared with the experiment.

KW - METIS-227047

KW - IR-53794

U2 - 10.1103/PhysRevB.72.214521

DO - 10.1103/PhysRevB.72.214521

M3 - Article

VL - 72

SP - 214521-

JO - Physical review B: Condensed matter and materials physics

JF - Physical review B: Condensed matter and materials physics

SN - 1098-0121

IS - 21

ER -