Magnetic correlations, geometrical frustration, and tunable disorder in arrays of superconducting rings

Physical Review B - Condensed Matter and Materials Physics

Volumn 55, Issue 10, 1997, Pages 6518-6540

  Davidovic acute, Dragomir ^a   Kumar, Suman ^a   Reich, Daniel H ^a   Siegel, Jeffrey ^b  

^a JOHNS HOPKINS UNIVERSITY   (United States)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000205588     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.55.6518     Document Type: Article

References (20)

1. D. Davidović, S. Kumar, D. H. Reich, J. Siegel, S. B. Field, R. C. Tiberio, R. Hey and K. Ploog, Phys. Rev. Lett. 76, 815 (1996).
2. W. A. Little and R. D. Parks, Phys. Rev. Lett. 9, 9 (1962).
3. D. Fisher, G. Grinstein, and A. Khurana, Phys. Today 41, (12), 56 (1988).
4. J. Z. Imbrie, Phys. Rev. Lett. 53, 1747 (1984).
5. J. Bricmont and A. Kupiainen, Phys. Rev. Lett.ibid. 59, 1829 (1987).
6. J. S. Langer and V. Ambegaokar, Phys. Rev. 164, 498 (1967).
7. D. E. McCumber and B. I. Halperin, Phys. Rev. B 1, 1054 (1970).
8. M. B. Tarlie, E. Shimshoni and P. M. Goldbart, Phys. Rev. B 49, 494 (1994).
9. E. H. Horane, J. I. Castro, G. C. Buscaglia and A. López, Phys. Rev. B 53, 9296 (1996), and D. Davidović et. al (unpublished). Horane et. al do not give an explicit form for the order parameter of the intermediate state. In their notation, it is f(s)=f̃cd[(1-(Formula presented)/2(Formula presented)s|m], where cd(u|m) is a Jacobian elliptic function, and m=(Formula presented)/(2-(Formula presented)).
10. R. Liebmann, Statistical Mechanics of Periodic Frustrated Ising Systems (Springer-Verlag, Berlin, 1986), p. 38, 77.
11. J. Siegel, J. Witt, N. Venturi and S. B. Field, Rev. Sci. Instrum. 66, 2520 (1995).
12. A. M. Chang, H. D. Hallen, L. Harriot, H. F. Hess, H. L. Kao, R. E. Miller, R. Wolfe, J. van der Ziel and T. Y. Chang, Appl. Phys. Lett. 61, 1974 (1992).
13. H. D. Hallen, R. Seshadri, A. M. Chang, R. E. Miller, L. N. Pfeiffer, K. W. West, C. A. Murray and H. F. Hess, Phys. Rev. Lett. 71, 3007 (1993).
14. H. B. G. Casimir and F. K. Du Pre, Physica V, 507 (1938).
15. D. E. McCumber, Phys. Rev. 181, 716 (1969).
16. J. M. Cowley, Phys. Rev. 77, 669 (1950).
17. J. M. Ziman, Models of Disorder (Cambridge University Press, Cambridge, 1979), p. 17.
18. M. Tinkham, Introduction to Superconductivity (McGraw-Hill, New York, 1975), p. 111.
19. H. J. Fink and V. Grünfeld, Phys. Rev. B 33, 6088 (1986).
20. R. P. Groff and R. D. Parks, Phys. Rev. 176, 567 (1968).