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arXiv 1004.2999cond-mat.str-el
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八格点团簇赝能隙的物理学动力学平均场论:光电子、拉曼散射、面内和c轴电导

Physics of the Pseudogap in 8-site Cluster Dynamical Mean Field Theory: photoemission, Raman scattering, in-plane and c-axis conductivity

Nan Lin, Emanuel Gull, Andrew J. Millis

摘要:

采用集团动力学平均场和最大熵解析延拓方法,对二维正方晶格哈伯德模型在中等相互作用强度和载流子浓度接近半填充时的多体态密度、电子自能、面内和c轴光学电导率以及$B_{1g}$和$B_{2g}$ Raman散射谱进行了理论估计.计算是基于一个8-网站集群近似,使访问两个区域对角线和区域面对费米表面的部分。在低掺杂的带面区域表现出一个“赝隙”,抑制的费米面附近的能量的多体态密度。赝隙的大小是最大的半填充附近,并与掺杂平滑地降低,但随着温度的增加,间隙填充,而不是关闭。计算出的响应函数承担一个很强的定性相似的数据中的pseudogap制度的高- $T_c$铜酸盐,强烈表明,中间耦合哈伯德模型占大部分的外来行为中观察到的高- $T_c$材料。

英文摘要:

Cluster dynamical mean field and maximum entropy analytical continuation methods are used to obtain theoretical estimates for the many-body density of states, electron self-energy, in-plane and c-axis optical conductivity and the $B_{1g}$ and $B_{2g}$ Raman scattering spectra of the two dimensional square lattice Hubbard model at intermediate interaction strengths and carrier concentrations near half filling. The calculations are based on an 8-site cluster approximation which gives access to both the zone-diagonal and zone-face portions of the Fermi surface. At low dopings the zone-face regions exhibit a 'pseudogap', a suppression of the many-body density of states for energies near the Fermi surface. The pseudogap magnitude is largest near half filling and decreases smoothly with doping, but as temperature is increased the gap fills in rather than closes. The calculated response functions bear a strong qualitative resemblance to data taken in the pseudogap regime of high-$T_c$ cuprates, strongly suggesting that the intermediate coupling Hubbard model accounts for much of the exotic behavior observed in high-$T_c$ materials.

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