Kuramoto synchronization of quantum tunneling polarons for describing the dynamic structure in cuprate superconductors

Kuramoto synchronization of quantum tunneling polarons for describing the dynamic structure in cuprate superconductors
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DOI:
10.1103/physrevb.105.174305
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发表时间:
2021-09
期刊:
影响因子:
3.7
通讯作者:
V. Velasco;M. B. Silva Neto;A. Perali;S. Wimberger;A. Bishop;S. Conradson
V. Velasco;M. B. Silva Neto;A. Perali;S. Wimberger;A. Bishop;S. Conradson
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
V. Velasco;M. B. Silva Neto;A. Perali;S. Wimberger;A. Bishop;S. Conradson

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铜酸盐中的一个主要开放主题是晶格和电子动力学之间的相互作用以及它们耦合对高温超导(HTSC)机制的重要性。扩展X射线吸收精细结构实验(EXAFS)证明,非谐结构效应与不同的HTSC化合物的电荷动力学和超导相的过渡。在这里,我们描述了如何在铜酸盐系统中,通过对相关的六原子团簇执行原型非谐多体哈密顿量的精确对角化,结构非谐效应可以耦合到电子和晶格动力学,并表明EXAFS结果可以理解为与铜-顶端-氧的两个位置分布相关的耦合内部量子隧穿极化子之间的Kuramoto同步($Cu-O_{ap}$)对。此外,我们发现,这种第一顺序,反相同步过渡可以微调的温度和非谐性的晶格振动,并促进泵的电荷,最初存储在顶端的氧水库,到氧化铜平面。同时,内量子隧穿极化子扩展到铜-平面-氧($Cu-O_{pl}$)对。所有这些结果支持解释EXAFS数据的一个有效的,量子力学的三阱势,它准确地代表了反相同步的顶端氧位移和晶格辅助电荷转移到$CuO_2$平面。
A major open topic in cuprates is the interplay between the lattice and electronic dynamics and the importance of their coupling to the mechanism of high-temperature superconductivity (HTSC). As evidenced by Extended X-ray Absorption Fine Structure experiments (EXAFS), anharmonic structural effects are correlated with the charge dynamics and the transition to a superconducting phase in different HTSC compounds. Here we describe how structural anharmonic effects can be coupled to electronic and lattice dynamics in cuprate systems by performing the exact diagonalization of a prototype anharmonic many-body Hamiltonian on a relevant six-atom cluster and show that the EXAFS results can be understood as a Kuramoto synchronization between coupled internal quantum tunneling polarons associated with the two-site distribution of the copper-apical-oxygen ($Cu-O_{ap}$) pair in the dynamic structure. Furthermore, we find that this first order, anti-phase synchronization transition can be fine tuned by temperature and anharmonicity of the lattice vibrations, and promotes the pumping of charge, initially stored at the apical oxygen reservoirs, into the copper-oxide planes. Simultaneously, the internal quantum tunneling polaron extends to the copper-planar-oxygen ($Cu-O_{pl}$) pair. All these findings support an interpretation of the EXAFS data in terms of an effective, quantum mechanical triple-well-potential, which accurately represents the anti-phase synchronization of apical oxygens displacements and lattice-assisted charge transfer to the $CuO_2$ plane.