arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2107.01344cond-mat.str-el
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费米弧与空穴袋:胞腔双带模型的周期化

Fermi arcs vs hole pockets: periodization of a cellular two-band model

S. Verret, A. Foley, D. Sénéchal, A. -M. S. Tremblay, M. Charlebois

摘要:

铜酸盐的低掺杂费米面究竟是由空穴袋组成还是由不连通的费米弧组成,目前仍有争议。从细胞动力学平均场论(c-DMFT)的结果支持费米弧假设,预测相应的费米弧的哈伯德模型。在这里,我们介绍了一个简单的参数化的自能,在杨赖斯张理论的精神,并表明,国家的最先进的c-CDMFT计算不能给出一个明确的答案的问题费米弧与空穴口袋,这一点,独立的周期化(累积量或格林函数)用于显示光谱权重的无限晶格。事实上,当我们的模型被限制到一个集群和周期性的像在c-DMFT,只有两个可调参数足以重现的频率和动量的依赖性的低能量c-DMFT谱权重的定性细节为两个周期性。换句话说,即使我们的初始模型有一个由空穴和电子口袋组成的费米表面,当限制在一个簇中并像c-DMFT那样周期化时,它也会导致费米弧。我们提供了一个新的“紧凑的瓷砖”计划,以恢复我们的起始非相互作用晶格模型的空穴和电子口袋,这表明可能存在更好的周期化方案。

英文摘要:

It is still debated whether the low-doping Fermi surface of cuprates is composed of hole pockets or of disconnected Fermi arcs. Results from cellular dynamical mean field theory (c-DMFT) support the Fermi arcs hypothesis by predicting corresponding Fermi arcs for the Hubbard model. Here, we introduce a simple parametrization of the self-energy, in the spirit of Yang-Rice-Zhang theory, and show that state of the art c-CDMFT calculations cannot give a definitive answer to the question of Fermi arcs vs holes pockets, and this, independently of the periodization (cumulant or Green's function) used to display spectral weights of the infinite lattice. Indeed, when our model is restricted to a cluster and periodized like in c-DMFT, only two adjustable parameters suffice to reproduce the qualitative details of the frequency and momentum dependence of the low energy c-DMFT spectral weight for both periodizations. In other words, even though our starting model has a Fermi surface composed of hole and electron pockets, it leads to Fermi arcs when restricted to a cluster and periodized like in c-DMFT. We provide a new "compact tiling" scheme to recover the hole and electron pockets of our starting non-interacting lattice model, suggesting that better periodization schemes might exist.

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