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arXiv 1807.09223cond-mat.str-el
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哈伯德模型:强耦合区的计算机实验室

The Hubbard Model: A Computer Lab in the Strong Coupling Region

Donald M. Esterling

摘要:

一个挑战-和机会-提供给哈伯德模型社区的解决方案现存的强耦合区域。一个严格的和定量的要求很高的测试-计算机实验室-提出了基于某些确切的结果的强耦合限制在配套文件。测试提供了丰富的见解的基本物理模型,特别是准粒子能量和宽度的频谱权重函数在较低的哈伯德带。与电子散射有关的谱权函数的宽度很大,并且具有很强的动量依赖性,即使对于无限耦合也是如此。检验适用于平均场解以及一些一维结果。在每一种情况下,都暴露出实质性的问题。该方法也被用来确定一个“最佳”(即时刻保持)的解决方案,只有一个假设的一个单一的主峰较低的哈伯德带光谱权重函数。

英文摘要:

A challenge - and opportunity - is offered to the Hubbard Model community of solutions extant for the strong coupling region. A rigorous and quantitatively demanding test - a Computer Lab - is presented based on certain exact results for the strong coupling limit derived in a companion paper. The test offers rich insights into the essential physics of the model, specifically the quasiparticle energy and width of the spectral weight function in the lower Hubbard band. The width of the spectral weight function, related to electron scattering, is large and has a strong momentum dependence, even for infinite coupling. The test is applied to mean field solutions as well as some one dimensional results. In each case, substantial problems are exposed. The method is also used to determine a "best" (i.e. moment preserving) solution, subject to only one assumption of a single dominant peak for the lower Hubbard band spectral weight function.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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