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

Abstract

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 $Cu{O}_2$ plane.

arXiv comment13 pages, 5 figures. Submitted to Physical Review B

References in corpus (22)

• Evidence for ubiquitous strong electron-phonon coupling in high-temperature superconductors
• Signatures of exciton condensation in a transition metal dichalcogenide
• Electron-phonon coupling reflecting dynamic charge inhomogeneity in copper-oxide superconductors
• An unusual isotope effect in a high-transition-temperature superconductor
• Giant phonon anomalies and central peak due to charge density wave formation in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors
• Rapid change of superconductivity and electron-phonon coupling through 19% doping in Bi2212
• Resonant and crossover phenomena in a multiband superconductor tuning the chemical potential near a band edge
• Dispersive charge density wave excitations and temperature dependent commensuration in Bi2Sr2CaCu2O8+δ
• Superconductivity in a unique type of copper oxide
• New Perspective on the Phase Diagram of Cuprate High-Temperature Superconductors
• Anomalous density fluctuations in a strange metal
• Doping dependence of the coupling of electrons to bosonic modes in the single-layer high-temperature Bi2Sr2CuO6 superconductor
• Emergence of superconductivity in the cuprates via a universal percolation process
• Comparison of local structure measurements from c-axis polarized XAFS between a film and a single crystal of YBCO as a function of temperature
• C-axis lattice dynamics in Bi-based cuprate superconductors
• Local Lattice Instability and Superconductivity in La${}_{1.85}$Sr${}_{0.15}$Cu${}_{1-x}$M${}_x$O${}_4$ (M=Mn, Ni, and Co)
• Persistent low-energy phonon broadening near the charge order $q$-vector in bilayer cuprate Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Coupled dynamics of fast spins and slow exchange interactions in the XY spin-glass
• Quantum Monte Carlo study of an anharmonic Holstein model
• Fe-As bond fluctuations in a double-well potential in LaFeAsO
• Correlation of strontium anharmonicity with charge-lattice dynamics of the apical oxygens and their coupling to cuprate superconductivity

Cited by in corpus (1)

• Doping Dependence of Spin-Momentum Locking in Bismuth-Based High-Temperature Cuprate Superconductors