空间均匀强关联电子系统赝能隙谱性质的运动学形成
Kinematic formation of the pseudogap spectral properties in a spatially homogeneous strongly correlated electron system
摘要:
结果表明,由原子表象算符对易关系的准费米性质引起的运动学相互作用可以诱导Hubbard费米子系综谱特征的赝能隙行为。在数学上,运动学相互作用的存在本身表现在哈伯德费米子$D(\textbf{k},iω_n)$的单粒子格林函数的忠实表示的修改,其中涉及,除了自能运营商$Σ_L(\textbf{k},iω_n)$,强度运营商$P(\textbf{k},iω_n)$。强度运算符必须同时输入$D(\textbf{k},iω_n)$的精确表达式的分子和分母。因此,运动相互作用,不仅重新规范化的基本激励的频谱,但显着影响其频谱权重。它导致费米轮廓上发生的光谱强度$A(\textbf{k},ω)$的强烈调制。计算的$t-J$模型在单圈近似下的光谱特性与铜氧化物超导体上获得的ARPES数据产生良好的定量协议。
英文摘要:
It is shown that the kinematic interaction caused by the quasi-Fermi character of commutation relations for operators of the atomic representation can induce pseudogap behavior of the spectral characteristics of an ensemble of Hubbard fermions. Mathematically, the presence of the kinematic interaction manifests itself in modification of the faithful representation of a single-particle Green's function of Hubbard fermions $D(\textbf{k},iω_n)$, which involves, apart from self-energy operator $Σ_L(\textbf{k},iω_n)$, strength operator $P(\textbf{k},iω_n)$. It is important that the strength operator enters both the numerator and the denominator of the exact expression for $D(\textbf{k},iω_n)$. The kinematic interaction, therefore, not only renormalizes the spectrum of elementary excitations but significantly affects their spectral weight. It results in strong modulation of spectral intensity $A(\textbf{k},ω)$ occurring on a Fermi contour. Calculations of the spectral properties for the $t-J$ model in the one-loop approximation yield good quantitative agreement with the ARPES data obtained on cuprate superconductors.
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