We study the superconducting pairing correlations in the ground state of the doped Hubbard model – in its original form without hopping beyond nearest neighbor or other perturbing parameters – in two dimensions at intermediate to strong coupling and near optimal doping. The nature of such correlations has been a central question ever since the discovery of cuprate high-temperature superconductors. Despite unprecedented effort and tremendous progress in understanding the properties of this fundamental model, a definitive answer to whether the ground state is superconducting in the parameter regime most relevant to cuprates has proved exceedingly difficult to establish. In this work, we employ two complementary, state-of-the-art many-body computational methods, auxiliary-field quantum Monte Carlo (AFQMC) and density matrix renormalization group (DMRG) methods, deploying the most recent algorithmic advances in each. Systematic and detailed comparisons between the two methods are performed. The DMRG is extremely reliable on small width cylinders, where we use it to validate the AFQMC. The AFQMC is then used to study wide systems as well as fully periodic systems, to establish that we have reached the thermodynamic limit. The ground state is found to be non-superconducting in the moderate to strong coupling regime in the vicinity of optimal hole doping.

中文翻译：

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纯二维哈伯德模型中没有超导性

我们在中等至强耦合和接近最佳掺杂的二维条件下研究了掺杂的Hubbard模型基态中的超导配对相关性，其原始形式没有跳越最近的邻居或其他干扰参数。自从发现铜酸盐高温超导体以来，这种相关性的性质一直是一个中心问题。尽管在理解此基本模型的特性方面做出了空前的努力并取得了巨大进步，但事实证明，要确定基态是否在与铜酸盐最相关的参数体系中是超导的，是绝对困难的。在这项工作中，我们采用了两种互补的，最新的多体计算方法，辅助场量子蒙特卡罗（AFQMC）和密度矩阵重整化组（DMRG）方法，在每种方法中均采用了最新的算法。两种方法之间进行了系统的详细比较。DMRG在小宽度圆筒上非常可靠，我们在此使用它来验证AFQMC。然后将AFQMC用于研究广泛的系统以及全周期系统，以证明我们已达到热力学极限。发现在最佳空穴掺杂附近，在中等至强耦合状态下，基态是非超导的。然后将AFQMC用于研究广泛的系统以及全周期系统，以证明我们已达到热力学极限。发现在最佳空穴掺杂附近，在中等至强耦合状态下，基态是非超导的。然后将AFQMC用于研究广泛的系统以及全周期系统，以证明我们已达到热力学极限。发现在最佳空穴掺杂附近，在中等至强耦合状态下，基态是非超导的。