The order of the metal to superconductor transition

Details The order of the metal to superconductor transition The order of the metal to superconductor transition

2001-09-14

arxiv.org/abs/cond-mat/0109260v2

Phys.Rev.B65:104501,2002

Physics

Condensed Matter

Superconductivity

Minor corrections, present version accepted for publication in PRB

Scientific paper

10.1103/PhysRevB.65.104501

We present results from large-scale Monte Carlo simulations on the full Ginzburg-Landau (GL) model, including fluctuations in the amplitude and the phase of the matter-field, as well as fluctuations of the non-compact gauge-field of the theory. {}From this we obtain a precise critical value of the GL parameter $\kct$ separating a first order metal to superconductor transition from a second order one, $\kct = (0.76\pm 0.04)/\sqrt{2}$. This agrees surprisingly well with earlier analytical results based on a disorder theory of the superconductor to metal transition, where the value $\kct=0.798/\sqrt{2}$ was obtained. To achieve this, we have done careful infinite volume and continuum limit extrapolations. In addition we offer a novel interpretation of $\kct$, namely that it is also the value separating \typeI and \typeII behaviour.<

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