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arXiv 2403.07620cond-mat.str-el
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强局域玻色涨落:理解强关联金属的关键

Strong Local Bosonic Fluctuation: The Key to Understanding Strongly Correlated Metals

S. R. Hassan, Gopal Prakash, N. S. Vidhyadhiraja, T. V. Ramakrishnan

AI总结:

该研究提出理论框架解释$U=\infty$ Hubbard模型中的极端关联费米液体现象,通过自洽求解格林函数等的运动方程,明确了强关联系统的不同区域,证实局域玻色涨落的关键作用。

摘要:

本文提出了一个理论框架,用于理解$U=\infty$ Hubbard模型中的极端关联费米液体(Extremely Correlated Fermi Liquid,ECFL)现象。我们的方法推导了单粒子格林函数$G$及其自能$\Sigma$的运动方程,其中自能涉及由密度关联($D_N$)和自旋关联($D_S$)组成的玻色关联函数与$G$的乘积。通过自洽求解这些方程,我们探究了$G$、$D_N$和$D_S$随频率、温度和空穴浓度变化的行为。结果揭示了以准粒子激发的存在与否为特征的两种不同费米液体区域:相干区域和非相干区域。此外,我们分析了本征直流电阻率$\rho(T)$,观察到随着温度升高,电阻率从$T^2$行为向线性行为过渡。本研究明确了强关联系统中的费米液体区、量子非相干区和“经典”区,强调了量子扩散型局域电荷与自旋涨落的重要性。

英文摘要:

In this paper, we present a theoretical framework for understanding the Extremely Correlated Fermi Liquid (ECFL) phenomenon within the $U=\infty$ Hubbard model. Our approach involves deriving equations of motion for the single-particle Green's function $G$ and its associated self-energy $Σ$, which involves the product of the bosonic correlation function comprising both density ($D_N$) and spin ($D_S$) correlations with $G$. By solving these equations self-consistently, we explore the behavior of $G$, $D_N$, and $D_S$ as functions of frequency, temperature, and hole concentration. Our results reveal distinct coherent and incoherent Fermi liquid regimes characterized by the presence or absence of quasiparticle excitations. Additionally, we analyze the intrinsic dc resistivity $ρ(T)$, observing a crossover from $T^2$ to linear behavior with increasing temperature. Our findings delineate Fermi liquid, quantum incoherent, and `classical' regimes in strongly correlated systems, emphasizing the importance of quantum diffusive local charge and spin fluctuations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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