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哈伯德模型中的边缘费米液体理论。

Marginal fermi liquid theory in the Hubbard model.

作者信息

Kakehashi Y, Fulde P

机构信息

Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, D-01187 Dresden, Germany.

出版信息

Phys Rev Lett. 2005 Apr 22;94(15):156401. doi: 10.1103/PhysRevLett.94.156401. Epub 2005 Apr 18.

Abstract

We find marginal-Fermi-liquid- (MFL) like behavior in the Hubbard model on a square lattice for a range of hole doping and on-site interaction parameter U. Thereby we use a self-consistent projection operator method. It enables us to compute the momentum and frequency dependence of the single-particle excitations with high resolution. The Fermi surface is found to be holelike in the underdoped regime and electronlike in the overdoped regime. Our calculations concern normal state properties of the system. When a comparison is possible, we find consistency with finite temperature quantum Monte Carlo results. We also find a discontinuous change with doping concentration from a MFL to a Fermi-liquid behavior resulting from a collapse of the lower Hubbard band. This renders Luttinger's theorem inapplicable in the underdoped regime.

摘要

我们在正方形晶格上的哈伯德模型中,针对一系列空穴掺杂和在位相互作用参数U,发现了类似边缘费米液体(MFL)的行为。为此我们使用了一种自洽投影算符方法。这使我们能够以高分辨率计算单粒子激发的动量和频率依赖性。发现在欠掺杂区域费米面呈空穴型,而在过掺杂区域呈电子型。我们的计算涉及该系统的正常态性质。当可以进行比较时,我们发现与有限温度量子蒙特卡罗结果一致。我们还发现,随着掺杂浓度的变化,由于下哈伯德带的崩塌,会从MFL行为到费米液体行为发生不连续变化。这使得卢廷格定理在欠掺杂区域不适用。

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