23 research outputs found

    The order of the metal to superconductor transition

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    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.<Comment: Minor corrections, present version accepted for publication in PR
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