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arXiv 1703.02206cond-mat.str-el
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无限维Gutzwiller关联中的奇异金属

A Strange Metal from Gutzwiller correlations in infinite dimensions

Wenxin Ding, Rok Žitko, Peizhi Mai, Edward Perepelitsky, B Sriram Shastry

摘要:

近年来,随着极端关联费米液体理论(ECFL)和动力学平均场理论(DMFT)的发展,我们可以在$d \to \infty$极限下,通过设置$J\to0$来计算$t-J$模型的电阻率。这也是$U=\infty$ Hubbard模型。我们研究了三种密度$n=.75,.8,.85$,对应于过掺杂和最佳掺杂莫特绝缘状态之间的范围。我们描绘了四个不同的制度,其特征在于不同的行为的电阻率$ρ$。我们发现在最低的$T$ Gutzwiller关联费米液体制度与$ρ\propto T^2$延伸到一个有效的费米温度,显着抑制从非相互作用的值。随后是具有$ρ\propto (T-T_0)$的Gutzwiller相关奇异金属状态,即在正$T_0$处线性电阻率外推回到$ρ=0$。在更高的$T$标度下,这跨越到坏金属区域,其中$ρ\propto (T+T_1)$外推回到在$T=0$下的有限电阻率,并且通过Ioffe-Regel-Mott值,其中平均自由程是几个晶格常数。该区域最终让位于高$T$金属区域,在该区域我们发现了$ρ\propto T$。目前的工作强调前两个,在那里的分析ECFL理论的可用性是在确定相关变量的变化进入电阻率公式,伴随着线性电阻率的发病,和数值精确DMFT有助于验证结果的帮助。我们还研究了热力学变量,如磁化率,压缩性,热容和熵,并在这些电阻率的变化与相关的变化。这个练习为奇怪金属体系中电荷和自旋相关性的本质提供了有价值的光线,这与在强相关物质中看到的物理相关的奇怪金属相具有共同的特征。

英文摘要:

Recent progress in extremely correlated Fermi liquid theory (ECFL) and dynamical mean field theory (DMFT) enables us to compute in the $d \to \infty$ limit the resistivity of the $t-J$ model after setting $J\to0$. This is also the $U=\infty$ Hubbard model. We study three densities $n=.75,.8,.85$ that correspond to a range between the overdoped and optimally doped Mott insulating state. We delineate four distinct regimes characterized by different behaviors of the resistivity $ρ$. We find at the lowest $T$ a Gutzwiller Correlated Fermi Liquid regime with $ρ\propto T^2$ extending up to an effective Fermi temperature that is dramatically suppressed from the non-interacting value. This is followed by a Gutzwiller Correlated Strange Metal regime with $ρ\propto (T-T_0)$, i.e. a linear resistivity extrapolating back to $ρ=0$ at a positive $T_0$. At a higher $T$ scale, this crosses over into the Bad Metal regime with $ρ\propto (T+T_1)$ extrapolating back to a finite resistivity at $T=0$, and passing through the Ioffe-Regel-Mott value where the mean free path is a few lattice constants. This regime finally gives way to the High $T$ Metal regime, where we find $ρ\propto T$. The present work emphasizes the first two, where the availability of an analytical ECFL theory is of help in identifying the changes in related variables entering the resistivity formula that accompany the onset of linear resistivity, and the numerically exact DMFT helps to validate the results. We also examine thermodynamic variables such as the magnetic susceptibility, compressibility, heat capacity and entropy, and correlate changes in these with the change in resistivity. This exercise casts valuable light on the nature of charge and spin correlations in the strange metal regime, which has features in common with the physically relevant strange metal phase seen in strongly correlated matters.

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