arXiv 1901.033202019-01-10cond-mat.supr-con

铜氧化物空穴掺杂三轨道自旋费米子模型中的半填充条纹

Half-filled Stripes in a Hole-Doped Three-Orbital Spin-Fermion Model for Cuprates

Mostafa Sherif Derbala Aly Hussein, Elbio Dagotto, Adriana Moreo

备注：: 9 pages, 7 figures

摘要：

使用Monte Carlo技术，我们研究了三轨道CuO $_2$自旋费米子模型的铜基高临界温度超导体，捕获这些化合物的电荷转移特性。我们的研究揭示了在母体化合物中存在自旋有序，更重要的是，在空穴掺杂下存在条纹自旋和电荷有序。由于$p$ - $d$轨道杂化，所添加的空穴近似均匀地分布在晶胞中氧原子的两个$p$轨道和铜原子的$d$轨道之间。在打破$π/2$晶格旋转对称性的尺寸为$16\times 4$ %的矩形簇中，在空穴掺杂时观察到{ \it半填充}条纹，即当在系统中引入$N_h=2n$空穴时，则沿着短方向形成长度为4的$n$条纹。在母体化合物中观察到的原始反铁磁顺序在每个条纹上产生了$π-$位移，并且磁结构因子在波矢${\bf k}=(π-δ,π)$处具有峰，其中$δ=2πN_h/N=πN_h/2L$为$L=16$。电子电荷也被调制，并且电荷结构因子在${\bf k}=(2δ,0)$处最大化。当电子从系统中被移除时，在标准符号中，在氧扇区中与$\langle n_{p_x}\rangle-\langle n_{p_y}\rangle\ne 0$的胞内轨道向列性发展，以及在自旋铜扇区中与$\langle S^z_{{\bf i},d}(S^z_{{\bf i}+{\bf x},d}-S^z_{{\bf i}+{\ bf y},d})\rangle\ne 0$的胞间磁向列性发展。这不仅发生在矩形8 $\times$ 8点阵中，而且发生在方形8点阵中。总体而言，我们的研究结果表明，条纹自旋和电荷分布的本质实验观察到的空穴掺杂的铜氧化物捕获的一个简单的空穴掺杂的电荷转移绝缘体CuO $_2$自旋费米子模型的无偏蒙特卡罗研究。

英文摘要：

Using Monte Carlo techniques, we study a three-orbital CuO$_2$ spin-fermion model for copper-based high critical temperature superconductors that captures the charge-transfer properties of these compounds. Our studies reveal the presence of spin order in the parent compound and, more importantly, stripe spin and charge order under hole doping. Due to the $p$-$d$ orbital hybridizati on, the added holes are approximately equally distributed among the two $p$ orbitals of the oxygen atoms and the $d$ orbital of the copper atoms in the unit cell. In rectangular clusters of dimension $16\times 4$ %that break the $π/2$ lattice rotational symmetry, {\it half-filled} stripes are observed upon hole doping, namely when $N_h=2n$ holes are introduced in the system then $n$ stripes of length 4 are formed along the short direction. The original antiferromagnetic order observed in the parent compound develops a $π-$shift across each stripe and the magnetic structure factor has a peak at wavevector ${\bf k}=(π-δ,π)$ with $δ=2πN_h/N=πN_h/2L$, where $L=16$. The electronic charge is also modulated and the charge structure factor is maximized at ${\bf k}=(2δ,0)$. As electrons are removed from the system, intracell orbital nematicity with $\langle n_{p_x}\rangle-\langle n_{p_y}\rangle\ne 0$ dev elops in the oxygen sector, as well as intercell magnetic nematicity with $\langle S^z_{{\bf i},d}(S^z_{{\bf i}+{\bf x},d}-S^z_{{\bf i}+{\ bf y},d})\rangle\ne 0$ in the spin copper sector, in the standard notation. This occurs not only in rectangular but also in square 8$\times$8 lattices. Overall, our results suggest that the essence of the stripe spin and charge distribution experimentally observed in hole-doped cuprates are captured by unbiased Monte Carlo studies of a simple hole-doped charge-transfer insulator CuO$_2$ spin-fermion model.

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摘要：

英文摘要：

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