Estimation of the on-site Coulomb potential 1 and covalent state in La2CuO4 by muon spin rotation 2 and density functional theory calculations
Muhammad Redo Ramadhan, Budi Adiperdana, Irwan Ramli, Dita Puspita, Sari, Anita Eka Putri, Utami Wydiaiswari, Harion Rozak, Wan Nurfadhilah, Zaharim, Azwar Manaf, Budhy Kurniawan Mohamed Ismail Mohamed-Ibrahim, Shukri, Sulaiman, Takayuki Kawamata, Tadashi Adachi, Yoji Koike

TL;DR
This study combines muon spin rotation and density functional theory to accurately estimate the on-site Coulomb potential and covalent state in La2CuO4, shedding light on electronic interactions in high-Tc cuprates.
Contribution
It introduces a novel method integrating {bc}SR and DFT to determine Coulomb potential and covalent states in cuprates, providing detailed electronic structure insights.
Findings
Coulomb potential U estimated at 4.87 eV
Charge-transfer energy optimized at 1.24 eV
Local CuO6 deformations linked to muon injection
Abstract
The on-site Coulomb potential, U, and the covalent state of electronic orbitals play key roles for the Cooper pair symmetry and exotic electromagnetic properties of high-Tc superconducting cuprates. In this paper, we demonstrate a way to determine the value of U and present the whole picture of the covalent state of Cu spins in the mother system of the La-based high-Tc superconducting cuprate, La2CuO4, by combining the muon spin rotation ({\mu}SR) and the density functional theory (DFT) calculation. We reveal local deformations of the CuO6 octahedron followed by changes in Cu-spin distributions caused by the injected muon. Adjusting the DFT and muSR results, U and the minimum charge-transfer energy between the upper Hubbard band and the O 2p band were optimized to be 4.87(4) and 1.24(1) eV, respectively.
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