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Phys. Rev. Lett. 78, 519–522 (1997)

1/ω Flux Noise and Dynamical Critical Properties of Two-Dimensional XY Models

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P. H. E. Tiesinga1, T. J. Hagenaars1,3, J. E. van Himbergen1, and Jorge V. José2
1Instituut voor Theoretische Fysica, Princetonplein 5, Postbus 80006, 3508 TA Utrecht, The Netherlands
2Physics Department and Center for the Interdisciplinary Research on Complex Systems, Northeastern University, Boston, Massachusetts 02115
3Institut für Theoretische Physik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany

Received 22 August 1996; published in the issue dated 20 January 1997

We have numerically studied the dynamic correlation functions in thermodynamic equilibrium of two-dimensional O(2) symmetry models with either bond [resistively shunted Josephson (RSJ)] or site [time-dependent Ginsburg-Landau (TDGL)] dissipation as a function of temperature T. We find that above the critical temperature the frequency dependent flux noise SΦ(ω)∼|1+(ω/Ω)2|-α(T)/2, with 0.85≤α(TDGL)(T)≤0.95 and 1.17≤α(RSJ)(T)≤1.27, while the dynamic critical exponents z(TDGL)∼2.0 and z(RSJ)∼0.9. Contrary to expectation the TDGL results are in closer agreement with the experiments in Josephson-junction arrays by Shaw et al. [Phys. Rev. Lett. 76, 2551 (1996)] than those from the RSJ model.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.519
DOI:
10.1103/PhysRevLett.78.519
PACS:
74.20.-z, 64.60.Fr, 74.40.+k, 74.50.+r
 
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