Monte Carlo studies of percolation in a superconducting array

X. C. Zeng, D. Stroud, J. S. Chung

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

We investigate phase transitions in a two-dimensional site-diluted superconducting array, using Monte Carlo simulations. The array is modeled via a site-diluted classical XY model on a square lattice in the regime pc<p<1, where p is the concentration of spins (representing the phases of the superconducting order parameters on the grains) and pc denotes the percolation threshold. In the unfrustrated case (zero magnetic field), we find that the Kosterlitz-Thouless (KT) transition temperature Tc(p) approaches zero according to the power law Tc(p)(p-pc) and 1.14, as p'pc from above. To within the accuracy of the calculation, equals the expected value of t, where t1.30 is the usual conductivity exponent. In the fully frustrated case, which in a perfect lattice (p=1) is characterized by a phase transition of combined KT- and Ising-like character, we find no Ising-like character in the diluted lattice. The apparent KT behavior is broadened over a considerable temperature range, compared to the case in the perfect lattice.

Original languageEnglish (US)
Pages (from-to)3042-3047
Number of pages6
JournalPhysical Review B
Volume43
Issue number4
DOIs
StatePublished - Jan 1 1991

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Phase transitions
Superconducting transition temperature
Magnetic fields
transition temperature
exponents
conductivity
Temperature
thresholds
magnetic fields
simulation
temperature
Monte Carlo simulation

ASJC Scopus subject areas

  • Condensed Matter Physics

Cite this

Monte Carlo studies of percolation in a superconducting array. / Zeng, X. C.; Stroud, D.; Chung, J. S.

In: Physical Review B, Vol. 43, No. 4, 01.01.1991, p. 3042-3047.

Research output: Contribution to journalArticle

Zeng, X. C. ; Stroud, D. ; Chung, J. S. / Monte Carlo studies of percolation in a superconducting array. In: Physical Review B. 1991 ; Vol. 43, No. 4. pp. 3042-3047.
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