Magnetic Interaction in Doped 2D Perovskite Cuprates with Nanoscale Inhomogeneity: Lattice Nonlocal Effects vs Superexchange

V. A. Gavrichkov; S. I. Polukeev

paper

Magnetic Interaction in Doped 2D Perovskite Cuprates with Nanoscale Inhomogeneity: Lattice Nonlocal Effects vs Superexchange

arXiv:2205.11959

Abstract

We have studied the superexchange interaction $J_{ij}$ in doped $2 D$ cuprates. The AFM interaction strongly depends on the state of the lattice of a CuO $_{2}$ layer surrounded by two LaO rock salt layers. In a static $U$ and $D$ stripe nanostructure, the homogeneous AFM interaction is impossible due to the $U / D / U ...$ periodic stripe sequence and $T_{N} = 0$ . In a dynamic stripe nanostructure, the ideal CuO $_{2}$ layer with nonlocal effects and the homogeneous AFM interaction are restored. However the interaction $J_{ij}$ decreases by the exponential factor due to partial dynamic quenching. The meaning of the transition from the dynamic to the static cases lies into the spontaneous $θ$ -symmetry breaking with respect to the rotation of all the tilted CuO $_{6}$ octahedra by an orientation angle $δ θ = n \cdot (4 5^{\circ})$ (where $n = 1 \div 4$ ) in the $U$ and $D$ stripe nanostructure of the CuO $_{2}$ layer. Moreover, the structural features help to study various experimental data on the charge inhomogeneity, Fermi level pinning in the p type cuprates only and a time reversal symmetry breaking from a unified point of view.

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