Computational Physics on the Connection Machine

本研究的主要目标是在大型并联连接机CM-2上进行高Tc超导领域的数值模拟。本文将研究强相关电子二维Hubbard模型的动力学性质，重点讨论高Tc理论的两个中心问题：基态是否具有长距离超导序？正常状态的本质是什么？模拟将使用精确和随机技术的代码进行。研究使用这种机器架构的不同代码的性能，应该会大大提高我们的理解，不仅是对物理问题的理解，而且对数据并行编程的理解。

The main goal of the proposed research is to perform numerical simulations in the field of high Tc superconductivity on the massively parallel Connection Machine, CM-2. The dynamical properties of the strongly correlated electronic 2D Hubbard model will be investigated, focussing on the two central issues of high Tc theory, does the ground state have long range superconducting order?, and what is the nature of the normal state? The simulations will be carried out with codes using both exact and stochastic techniques. The study of the performance of the different codes using this machine architecture, should yield a substantial improvement in our understanding, not only of the physical problem, but also of data-parallel programming.