arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2111.04891cond-mat.str-el
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具有强局域关联和长程库仑作用的电子的介电响应

Dielectric response of electrons with strong local correlations and long-ranged Coulomb interactions

B Sriram Shastry, Michael Arciniaga

摘要:

受最近实验的启发,我们将长程库仑相互作用附加到占主导地位的强局域关联中,研究了二维铜酸盐材料的$t$ - $V_C$模型。该模型考虑了短程Hubbard-Gutzwiller-Kanamori型关联和长程库仑相互作用对紧束缚电子的影响。我们计算的$ \{\vec{q},ω\}$依赖的电荷密度波动在这个模型中使用的极端相关费米液体理论,其特征在于准粒子与非常小的重量$Z$。我们开发了一套新的公式来表示动态电荷的磁化率和介电函数,使用一个版本的电荷-电流连续性方程的带系统有效的任意$\vec{q}$。结合这些成分,我们提出的结果的动态电荷磁化率$\widetildeχ_{ρρ}(\vec{q},ω)$,(纵向)介电函数$\varepsilon(\vec{q},ω)$,电流磁化率$\widetildeχ_{J J}(\vec{q},ω)$,电导率$σ(\vec{q},ω)$,和任何$\vec{q}$的等离子体频率。我们还提出了计算的结构函数的一阶矩,并讨论了一个特征的能量尺度$Ω_p(\vec{q})$,它位于$\Im m \, \widetildeχ_{ρρ}(\vec{q},ω)$的峰值。

英文摘要:

Motivated by recent experiments, we append long ranged Coulomb interactions to dominant strong local correlations and study the resulting $t$-$J$-$V_C$ model for the 2-dimensional cuprate materials. This model includes the effect of short ranged Hubbard-Gutzwiller-Kanamori type correlations and long ranged Coulomb interactions on tight binding electrons. We calculate the $ \{\vec{q},ω\}$ dependent charge density fluctuations in this model using the extremely correlated fermi liquid theory, characterized by quasiparticles with very small weight $Z$. We develop a novel set of formulae to represent the dynamical charge susceptibility and the dielectric function, using a version of the charge-current continuity equation for a band system valid for arbitrary $\vec{q}$. Combining these ingredients, we present results for the dynamical charge susceptibility $\widetildeχ_{ρρ}(\vec{q},ω)$, (longitudinal) dielectric function $\varepsilon(\vec{q},ω)$, current susceptibility $\widetildeχ_{J J}(\vec{q},ω)$, conductivity $σ(\vec{q},ω)$, and the plasma frequency for any $\vec{q}$. We also present calculations for the first moment of the structure function and discuss a characteristic energy scale $Ω_p(\vec{q})$, which locates a peak in $\Im m \, \widetildeχ_{ρρ}(\vec{q},ω)$.

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