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Phys. Rev. B 69, 092505 (2004) [4 pages]

Superconducting three-dimensional networks in a magnetic field: Frustrated systems

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Osamu Sato*
Department of Liberal Arts, Osaka Prefectural College of Technology, Neyagawa, Osaka 572-8572, Japan

Suminobu Takamori
Department of Mathematical Sciences, Osaka Prefecture University, 1-1, Gakuencho, Sakai, Osaka 599-8531, Japan

Masaru Kato†
Department of Mathematical Sciences, Osaka Prefecture University, 1-1, Gakuencho, Sakai, Osaka 599-8531, Japan
CREST, JST, 4-1-8, Honcho, Kawaguchi, Saitama 332-0012, Japan

Received 10 October 2003; published 16 March 2004

Making use of the de Gennes–Alexander network equation, we have investigated the transition temperature of three-dimensional superconducting networks in a magnetic field. For the magnetic field H(0.75<Ha2/Φ0<2.25), a superconducting tetrahedron has a nonsuperconducting vertex because of the frustration. In contrast to this, the C60 fullerene network shows antifluxons when the magnetic field is normal to one of the pentagons and hexagons, because of the frustration that comes from the rotational symmetry around these polygons.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevB.69.092505
DOI:
10.1103/PhysRevB.69.092505
PACS:
74.81.Fa, 74.20.De, 74.25.Qt

*Electronic address: gpsato@las.osaka-pct.ac.jp

†Electronic address: kato@ms.osakafu-u.ac.jp

 
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