dorsal/arxiv
View SchemaTheoretical Prediction of optimal $T_c$ for Nickelate $\mathrm{La_{3-x}Sm_{x}Ni_{2}O_{7-\delta}}$
| Authors | Xiuqing Huang |
|---|---|
| Categories | |
| ArXiv ID | 2601.06083vv1 |
| URL | https://arxiv.org/abs/2601.06083 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
Recently, the nickel-based superconductor $T_c$ record was updated to $96\ \text{K}$ in bilayer $\mathrm{La_{3-x}Sm_{x}Ni_{2}O_{7-\delta}}$ (LSNO) under pressure, raising a critical question: Can its $T_c$ exceed the 164 K benchmark of copper-based superconductors? We find that both monoclinic and tetragonal LSNO have an octahedral quantum well structure (determining $T_c$) nearly identical to $\mathrm{YBa_{2}Cu_{3}O_{7-\delta}}$ (YBCO). Based on the formula $T_c = \Lambda/\xi^{2}$ (Planck ground-state quantum well oscillator hypothesis, $\xi$ = lattice parameter-determined quantum well depth), we predict Sm-doped nickelate $T_c$ values of $93.4\ \text{K}$ (monoclinic) and $97.1\ \text{K}$ (tetragonal), in excellent agreement with experimental data ($92\ \text{K}$ and $96\ \text{K}$). Notably, despite distinct composition and symmetry (LSNO: $P2_1/m$; YBCO: $Pmmm$), their $\xi$ ($3.6629\ \AA$ vs $3.6720\ \AA$) and $T_c$ ($92\ \text{K}$ vs $93\ \text{K}$) are nearly identical. This validates the proposed superconducting formula and unifies copper-based and nickel-based superconductors at the angstrom-scale octahedral quantum well. Further predictions indicate the maximum achievable $T_c$ for lanthanide-based nickelates (regardless of layer number) is $\sim100\ \text{K}$.
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"abstract": "Recently, the nickel-based superconductor $T_c$ record was updated to $96\\ \\text{K}$ in bilayer $\\mathrm{La_{3-x}Sm_{x}Ni_{2}O_{7-\\delta}}$ (LSNO) under pressure, raising a critical question: Can its $T_c$ exceed the 164 K benchmark of copper-based superconductors? We find that both monoclinic and tetragonal LSNO have an octahedral quantum well structure (determining $T_c$) nearly identical to $\\mathrm{YBa_{2}Cu_{3}O_{7-\\delta}}$ (YBCO). Based on the formula $T_c = \\Lambda/\\xi^{2}$ (Planck ground-state quantum well oscillator hypothesis, $\\xi$ = lattice parameter-determined quantum well depth), we predict Sm-doped nickelate $T_c$ values of $93.4\\ \\text{K}$ (monoclinic) and $97.1\\ \\text{K}$ (tetragonal), in excellent agreement with experimental data ($92\\ \\text{K}$ and $96\\ \\text{K}$). Notably, despite distinct composition and symmetry (LSNO: $P2_1/m$; YBCO: $Pmmm$), their $\\xi$ ($3.6629\\ \\AA$ vs $3.6720\\ \\AA$) and $T_c$ ($92\\ \\text{K}$ vs $93\\ \\text{K}$) are nearly identical. This validates the proposed superconducting formula and unifies copper-based and nickel-based superconductors at the angstrom-scale octahedral quantum well. Further predictions indicate the maximum achievable $T_c$ for lanthanide-based nickelates (regardless of layer number) is $\\sim100\\ \\text{K}$.",
"arxiv_id": "2601.06083",
"authors": [
"Xiuqing Huang"
],
"categories": [
"cond-mat.supr-con"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "Theoretical Prediction of optimal $T_c$ for Nickelate $\\mathrm{La_{3-x}Sm_{x}Ni_{2}O_{7-\\delta}}$",
"url": "https://arxiv.org/abs/2601.06083",
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