Mai Peizhi, Cohen-Stead Benjamin, Maier Thomas A, Johnston Steven
Department of Physics and Anthony J. Leggett Institute for Condensed Matter Theory, University of Illinois at Urbana-Champaign, Urbana, IL 61801.
Department of Physics and Astronomy, The University of Tennessee, Knoxville, TN 37996.
Proc Natl Acad Sci U S A. 2024 Dec 10;121(50):e2408717121. doi: 10.1073/pnas.2408717121. Epub 2024 Dec 5.
The high-temperature superconducting cuprates host unidirectional spin- and charge-density-wave orders that can intertwine with superconductivity in nontrivial ways. While the charge components of these stripes have now been observed in nearly all cuprate families, their detailed evolution with doping varies across different materials and at high and low temperatures. We address this problem using nonperturbative determinant quantum Monte Carlo calculations for the three-band Hubbard model. Using an efficient implementation, we can resolve the model's fluctuating spin and charge modulations and map their evolution as a function of the charge transfer energy and doping. We find that the incommensurability of the charge modulations is decoupled from the spin modulations and decreases with hole doping, consistent with experimental measurements at high temperatures. These findings support the proposal that the high-temperature charge correlations are distinct from the intertwined stripe order observed at low-temperature and in the single-band Hubbard model.
高温超导铜酸盐中存在单向自旋和电荷密度波序,它们能以非平凡的方式与超导性相互交织。虽然现在几乎在所有铜酸盐家族中都观察到了这些条纹的电荷成分,但其随掺杂的详细演变在不同材料以及高温和低温下有所不同。我们使用三能带哈伯德模型的非微扰行列式量子蒙特卡罗计算来解决这个问题。通过高效的实现方式,我们能够解析模型中波动的自旋和电荷调制,并描绘出它们随电荷转移能量和掺杂的演变。我们发现电荷调制的非公度性与自旋调制解耦,并且随着空穴掺杂而减小,这与高温下的实验测量结果一致。这些发现支持了高温电荷关联与低温下以及单能带哈伯德模型中观察到的交织条纹序不同的观点。