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- W4385645305 abstract "Recently room temperature superconductor was claimed in Pb$_{10-x}$Cu$_x$(PO$_4$)$_6$O (also known as LK-99) with $xin (0.9,1.1)$. Density functional theory (DFT) calculations suggest that the conduction electrons are from the doped Cu atoms with valence close to $d^{9}$. Motivated by this picture, we build a two-orbital Hubbard model on a triangular lattice formed by the $d_{xz}$ and $d_{yz}$ orbitals with total hole density (summed over spin and orbital) $n=1-p$. When $p=0$, the system is in a Mott insulator within this model. When $p>0$, we derive a $t-J$ model and perform a self-consistent slave boson mean field calculation. Interestingly we find a s-wave pairing in contrast to the one-orbital t-J model which favors $d+id$ pairing. S wave pairing should be more robust to disorder and may lead to high Tc superconductor with sufficiently large values of $t$ and $J$. However, the DFT calculations predict a very small value of $t$ and then the $T_c$ is expected to be small. If LK99 is really a high Tc superconductor, ingredients beyond the current model are needed. We conjecture that the doped Cu atoms may distort the original lattice and form local clusters with smaller Cu -Cu distance and thus larger values of $t$ and $J$. Within these clusters, we may locally apply our t-J model calculation and expect high Tc s-wave superconductor. Then the superconducting islands couple together, which may eventually become a global superconductor, an insulator or even an anomalous metal depending on sample details." @default.
- W4385645305 created "2023-08-08" @default.
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- W4385645305 date "2023-08-04" @default.
- W4385645305 modified "2023-10-16" @default.
- W4385645305 title "S-wave pairing in a two-orbital t-J model on triangular lattice: possible application to Pb$_{10-x}$Cu$_x$(PO$_4$)$_6$O" @default.
- W4385645305 doi "https://doi.org/10.48550/arxiv.2308.02469" @default.
- W4385645305 hasPublicationYear "2023" @default.
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