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arXiv 1912.06232cond-mat.str-el
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从初始Mottness到高- $T_c$ -铜酸盐phase diagram的稳健自旋和电荷激发

Robust spin and charge excitations throughout high-$T_c$-cuprate phase diagram from incipient Mottness

M. Fidrysiak, J. Spałek

摘要:

轻空穴掺杂的高- $T_c$ -铜氧化物的一般相图具有定义明确的自旋波激发的反铁磁绝缘相。相反的弱耦合预测,这些模式坚持到过掺杂金属制度的强烈和分散的顺磁。在这里,我们报告我们的研究中的低能磁和电荷激发的扩展哈伯德模型在强耦合,使用修改后的$1/N$展开方法与变分状态作为鞍点解。尽管明确分离的磁性和Hubbard- $U$能量尺度,我们发现,初期Mottness影响定性分散和宽度的磁模式在整个相图。得到的磁和电荷动力学结构因子同意半定量与最近的共振$X$射线和中子散射数据$\mathrm{La_{2-\mathit{x}}Sr_\mathit{x}CuO_4}$和$\mathrm{(Bi,Pb)_2(Sr,La)_2CuO_{6+δ}}$在所有可用的掺杂水平。弱耦合随机相位近似已经失败的欠掺杂的样品,指出在铜氧化物超导体不同的能量尺度的非平凡的交织。一个离散的电荷模式,分裂的电子-空穴连续的存在也被预测。

英文摘要:

The generic phase diagram of lightly hole-doped high-$T_c$-cuprates hosts antiferromagnetic insulating phase with well-defined spin-wave excitations. Contrary to the weak-coupling prediction, these modes persist up to the overdoped metallic regime as intense and dispersive paramagnons. Here we report on our study of the low-energy magnetic and charge excitations within the extended Hubbard model at strong-coupling, using a modified $1/N$ expansion method with a variational state serving as the saddle point solution. Despite clear separation of magnetic and Hubbard-$U$ energy scales, we find that incipient Mottness affects qualitatively dispersions and widths of magnetic modes throughout entire phase diagram. The obtained magnetic and charge dynamical structure factors agree semi-quantitatively with recent resonant $X$-ray and neutron scattering data for $\mathrm{La_{2-\mathit{x}}Sr_\mathit{x}CuO_4}$ and $\mathrm{(Bi,Pb)_2(Sr,La)_2CuO_{6+δ}}$ at all available doping levels. The weak-coupling random-phase-approximation fails already for underdoped samples, pointing to the non-trivial intertwining of distinct energy scales in cuprate superconductors. The existence of a discrete charge mode which splits off the electron-hole continuum is also predicted.

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