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arXiv · 2303.05716

Oxygen on-site Coulomb energy in Pr$_{1.3-x}$La$_{0.7}$Ce$_x$CuO$_{4}$ and Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ and its relation with Heisenberg exchange

A. Chainani·M. Horio·C. -M. Cheng·D. Malterre·K. Sheshadri·M. Kobayashi·K. Horiba·H. Kumigashira·T. Mizokawa·M. Oura·M. Taguchi·Y. Mori·A. Takahashi·T. Konno·T. Ohgi·H. Sato·T. Adachi·Y. Koike·T. Mochiku·K. Hirata·S. Shin·M. K. Wu·A. Fujimori
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Abstract

We study the electronic structure of electron-doped Pr$_{1.3-x}$La$_{0.7}$Ce$_{x}$CuO$_{4}$ (PLCCO ; $T_{c}$ = 27 K, x = 0.1) and hole-doped Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ (Bi2212 ; $T_{c}$ = 90 K) cuprate superconductors using x-ray absorption spectroscopy (XAS) and resonant photoemission spectroscopy (Res-PES). From Res-PES across the O K-edge and Cu L-edge, we identify the O 2p and Cu 3d partial density of states (PDOS) and their correlation satellites which originate in two-hole Auger final states. Using the Cini-Sawatzky method, analysis of the experimental O 2p PDOS shows an oxygen on-site Coulomb energy for PLCCO to be $U_{p}$ = 3.3$\pm$0.5 eV and for Bi2212, $U_{p}$ = 5.6$\pm$0.5 eV, while the copper on-site Coulomb correlation energy, $U_{d}$ = 6.5$\pm$0.5 eV for Bi2212. The expression for the Heisenberg exchange interaction $J$ in terms of the electronic parameters $U_{d}$, $U_{p}$, charge-transfer energy $\Delta$ and Cu-O hopping $t_{pd}$ obtained from a simple Cu$_2$O cluster model is used to carry out an optimization analysis consistent with $J$ known from scattering experiments. The analysis also provides the effective one band on-site Coulomb correlation energy $\tilde{U}$ and the effective hopping $\tilde{t}$. PLCCO and Bi2212 are shown to exhibit very similar values of $\tilde{U}$/$\tilde{t}$ $\sim$9-10, confirming the strongly correlated nature of the singlet ground state in the effective one-band model for both the materials.

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A. Chainani, M. Horio, C. -M. Cheng, D. Malterre, K. Sheshadri, M. Kobayashi, K. Horiba, H. Kumigashira, T. Mizokawa, M. Oura, M. Taguchi, Y. Mori, A. Takahashi, T. Konno, T. Ohgi, H. Sato, T. Adachi, Y. Koike, T. Mochiku, K. Hirata, S. Shin, M. K. Wu, A. Fujimori. 2023-03-10. Oxygen on-site Coulomb energy in Pr$_{1.3-x}$La$_{0.7}$Ce$_x$CuO$_{4}$ and Bi$_2$Sr$_2$CaCu$_2$O$_{8+\delta}$ and its relation with Heisenberg exchange. https://doi.org/10.1103/physrevb.107.195152

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