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The cluster size dependence of superconductivity in the conventionaltwo-dimensional Hubbard model, commonly believed to describe high-temperaturesuperconductors, is systematically studied using the Dynamical ClusterApproximation and Quantum Monte Carlo simulations as cluster solver. Due to thenon-locality of the d-wave superconducting order parameter, the results onsmall clusters show large size and geometry effects. In large enough clusters,the results are independent of the cluster size and display a finitetemperature instability to d-wave superconductivity.Comment: 4 pages, 3 figures; updated with version published in PRL; added  values of Tc obtained from fit

physical review letters

Systematic Study of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-Wave Superconductivity in the 2D Repulsive Hubbard Model

Systematic Study ofd-Wave Superconductivity in the 2D Repulsive Hubbard Model