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arXiv · 2511.15608

Magnetic electron-hole asymmetry in cuprates: a computational revisit

Jiong Mei·Shao-Hang Shi·Ping Xu·Ziyan Chen·Hui-Ke Jin·Mingpu Qin·Zi-Xiang Li·Kun Jiang
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Abstract

In this work, we revisit the electron-hole asymmetry of antiferromagnetism in cuprates by studying the three-band Emery model. Using parameters relevant to La$_2$CuO$_4$, we benchmark the anti-ferromagnetic response for a large range of dopings with variational Monte Carlo, determinant quantum Monte Carlo, constrained-path auxiliary-field quantum Monte Carlo, density-matrix embedding theory, and the Gutzwiller approximation. Across methods and accessible sizes/temperatures, we find no significant electron-hole asymmetry if we consider only Neel anti-ferronagnetic response and ignore other possible orders such as stripe state. This result is robust to a moderate oxygen-site repulsion $U_p$ and to parameter sets of Nd$_2$CuO$_4$. Incorporating dopant-induced local potentials reveals an extrinsic route to asymmetry: Cu-site defects enhance AFM on the electron-doped side, whereas O-site defects suppress it on the hole-doped side. These results indicate that dopant-driven effects make a non-negligible contribution to apparent electron-hole asymmetry in the general phase diagram of cuprates and should be included when analyzing competing orders in cuprates.

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Jiong Mei, Shao-Hang Shi, Ping Xu, Ziyan Chen, Hui-Ke Jin, Mingpu Qin, Zi-Xiang Li, Kun Jiang. 2025-11-19. Magnetic electron-hole asymmetry in cuprates: a computational revisit. https://arxiv.org/abs/2511.15608

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