The Effect of Large Amplitude Fluctuations in the Ginzburg-Landau Phase Transition

Details The Effect of Large Amplitude Fluctuations in the Ginzburg-Landau Phase Transition The Effect of Large Amplitude Fluctuations in the Ginzburg-Landau Phase Transition

2000-10-09

arxiv.org/abs/cond-mat/0010119v1

Physics

Condensed Matter

Superconductivity

4 pages, 5 postscript (eps) figures

Scientific paper

10.1103/PhysRevB.64.092506

The lattice Ginzburg-Landau model in d=3 and d=2 is simulated, for different values of the coherence length $\xi$ in units of the lattice spacing $a$, using a Monte Carlo method. The energy, specific heat, vortex density $v$, helicity modulus $\Gamma_\mu$ and mean square amplitude are measured to map the phase diagram on the plane $T-\xi$. When amplitude fluctuations, controlled by the parameter $\xi$, become large ($\xi \sim 1$) a proliferation of vortex excitations occurs changing the phase transition from continuous to first order.

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