Little-Parks oscillations of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi>T</mi></mrow><mrow><mi>c</mi></mrow></msub></mrow></math> in patterned microstructures of the oxide superconductor <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">YBa</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow></math><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">Cu</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow></math><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><msub><mrow><mi mathvariant="normal">O</mi></mrow><mrow><mn>7</mn></mrow></msub></mrow></math>: Experimental limits on fractional-statistics-particle theories

P. L. Gammel; P. A. Polakos; C. E. Rice; L. R. Harriott; D. J. Bishop

doi:10.1103/PhysRevB.41.2593

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Little-Parks oscillations of $T_{c}$ in patterned microstructures of the oxide superconductor ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$ : Experimental limits on fractional-statistics-particle theories

P. L. Gammel, P. A. Polakos, C. E. Rice, L. R. Harriott, and D. J. Bishop

AT&T Bell Laboratories, Murray Hill, New Jersey 07974

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Phys. Rev. B 41, 2593(R) – Published 1 February, 1990

DOI: https://doi.org/10.1103/PhysRevB.41.2593

Abstract

We report observation of Little-Parks oscillations in arrays with a 4-μ $m^{2}$ plaquette area, fabricated from c^-axis-oriented ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$ films. Near the mean-field transition temperature the magnitude of the oscillations implies a zero-temperature coherence length ξ(0)=15±2 Å. For temperatures more than 1 K below the mean-field transition, the magnitude of the oscillations increases dramatically, apparently signaling a crossover to the dynamics of a Josephson-coupled network. Precise experimental limits can be placed on the value of the flux quantum, severely restricting any anomalous value which may be proposed on the basis of fractional-statistics-particle theories.

References (20)

W. A. Little and R. Parks, Phys. Rev. A 113, 97 (1964).
A useful introduction to the extensive literature on this subject is the Proceedings of the NATO Workshop on Coherence in Superconducting Networks, Delft, Netherlands, 1987, edited by J. E. Mooij and G. B. J. Schon [Physica B 152, No. 1&2 (1988)].
R. Steinmann, P. Lejay, J. Chaussy, and B. Pannetier, Physica C 153" –, bold "155, 1487 (1988).
U. Welp, W. K. Kwok, G. W. Crabtree, K. G. Vandervoort and J. Z. Liu, Phys. Rev. Lett. 62, 1908 (1989); W. C. Lee, R. A. Klemm and D. C. Johnston, ibid. 63, 1012 (1989).
L. E. Harriott, P. A. Polakos and C. E. Rice, Appl. Phys. Lett. 55, 495 (1989).
K. K. Likharev, Rev. Mod. Phys. 51, 101 (1979).
M. Tinkham, Introduction to Superconductivity (Krieger, Malabar, FL, 1980).
P. Gandit, J. Chaussy, B. Pannetier and R. Ramal, Physica B 152, 32 (1988); J. Chaussy, B. Pannetier, R. Ramal and J. C. Villegier, Phys. Rev. Lett. 53, 1845 (1984); D. F. Hofstader, Phys. Rev. B 14, 2239 (1976).
See, for example, Q. Nui and F. Nori, Phys. Rev. B 39, 2134 (1989).
D. J. van Harlinger, K. N. Springer, G. C. Hilton and J. Tien, Physica B 152, 134 (1988).
P. M. Mankiewich, J. H. Scofield, W. J. Skocpol, R. E. Howard, A. H. Dayem and E. Good, Appl. Phys. Lett. 51, 1753 (1987).
S. Matsui, N. Takado, H. Tsuge and K. Asakawa, Appl. Phys. Lett. 52, 69 (1988).
A simple argument is given in M. Tinkham, D. W. Abraham and C. J. Lobb, Phys. Rev. B 28, 6578 (1983).
B. I. Halperin, J. March-Russell, and F. Wilczek (unpublished).
J. March-Russell and F. Wilczek, Phys. Rev. Lett. 61, 2066 (1988); Y.-H. Chen, F. Wilczek, E. Witten, and B. I. Halperin (unpublished).
P. L. Gammel, D. J. Bishop, G. J. Dolan, J. R. Kwo, C. A. Murray, L. F. Schneemeyer and J. V. Waszczak, Phys. Rev. Lett. 59, 2952 (1987); and (unpublished).
A. T. Fiory, A. F. Hebard, P. M. Mankiewich and R. E. Howard, Phys. Rev. Lett. 61, 1419 (1988); Appl. Phys. Lett. 52, 2165 (1988).
C. J. Lobb (private communication); D. A. Huse (private communication).
A. F. Hebard, P. L. Gammel, C. E. Rice, and A. F. J. Levi, Phys. Rev. B 40, 5243 (1989).
P. L. Gammel, L. F. Schneemeyer, J. V. Waszczak and D. J. Bishop, Phys. Rev. Lett. 61, 1666 (1988).

[c1] W. A. Little and R. Parks, Phys. Rev. A 113, 97 (1964).

[c2] A useful introduction to the extensive literature on this subject is the Proceedings of the NATO Workshop on Coherence in Superconducting Networks, Delft, Netherlands, 1987, edited by J. E. Mooij and G. B. J. Schon [Physica B 152, No. 1&2 (1988)].

[c3] R. Steinmann, P. Lejay, J. Chaussy, and B. Pannetier, Physica C 153" –, bold "155, 1487 (1988).

[c4] U. Welp, W. K. Kwok, G. W. Crabtree, K. G. Vandervoort and J. Z. Liu, Phys. Rev. Lett. 62, 1908 (1989); W. C. Lee, R. A. Klemm and D. C. Johnston, ibid. 63, 1012 (1989).

[c5] L. E. Harriott, P. A. Polakos and C. E. Rice, Appl. Phys. Lett. 55, 495 (1989).

[c6] K. K. Likharev, Rev. Mod. Phys. 51, 101 (1979).

[c7] M. Tinkham, Introduction to Superconductivity (Krieger, Malabar, FL, 1980).

[c8] P. Gandit, J. Chaussy, B. Pannetier and R. Ramal, Physica B 152, 32 (1988); J. Chaussy, B. Pannetier, R. Ramal and J. C. Villegier, Phys. Rev. Lett. 53, 1845 (1984); D. F. Hofstader, Phys. Rev. B 14, 2239 (1976).

[c9] See, for example, Q. Nui and F. Nori, Phys. Rev. B 39, 2134 (1989).

[c10] D. J. van Harlinger, K. N. Springer, G. C. Hilton and J. Tien, Physica B 152, 134 (1988).

[c11] P. M. Mankiewich, J. H. Scofield, W. J. Skocpol, R. E. Howard, A. H. Dayem and E. Good, Appl. Phys. Lett. 51, 1753 (1987).

[c12] S. Matsui, N. Takado, H. Tsuge and K. Asakawa, Appl. Phys. Lett. 52, 69 (1988).

[c13] A simple argument is given in M. Tinkham, D. W. Abraham and C. J. Lobb, Phys. Rev. B 28, 6578 (1983).

[c14] B. I. Halperin, J. March-Russell, and F. Wilczek (unpublished).

[c15] J. March-Russell and F. Wilczek, Phys. Rev. Lett. 61, 2066 (1988); Y.-H. Chen, F. Wilczek, E. Witten, and B. I. Halperin (unpublished).

[c16] P. L. Gammel, D. J. Bishop, G. J. Dolan, J. R. Kwo, C. A. Murray, L. F. Schneemeyer and J. V. Waszczak, Phys. Rev. Lett. 59, 2952 (1987); and (unpublished).

[c17] A. T. Fiory, A. F. Hebard, P. M. Mankiewich and R. E. Howard, Phys. Rev. Lett. 61, 1419 (1988); Appl. Phys. Lett. 52, 2165 (1988).

[c18] C. J. Lobb (private communication); D. A. Huse (private communication).

[c19] A. F. Hebard, P. L. Gammel, C. E. Rice, and A. F. J. Levi, Phys. Rev. B 40, 5243 (1989).

[c20] P. L. Gammel, L. F. Schneemeyer, J. V. Waszczak and D. J. Bishop, Phys. Rev. Lett. 61, 1666 (1988).

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Little-Parks oscillations of $T_{c}$ in patterned microstructures of the oxide superconductor ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$ : Experimental limits on fractional-statistics-particle theories

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Little-Parks oscillations of Tc in patterned microstructures of the oxide superconductor YBa2Cu3O7: Experimental limits on fractional-statistics-particle theories

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References (20)

Little-Parks oscillations of $T_{c}$ in patterned microstructures of the oxide superconductor ${YBa}_{2}$ ${Cu}_{3}$ $O_{7}$ : Experimental limits on fractional-statistics-particle theories