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Magnetic fluctuations in Pb$_9$Cu(PO$_4$)$_6$O
Strongly Correlated Electrons · Submitted 24 Aug 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Only slight charge doping switches between antiferromagnetic and ferromagnetic fluctuations.
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The abstract, sentence by sentence
The hope that copper doped lead apatite Pb$_9$Cu(PO$_4$)$_6$O is a room-temperature superconductor has largely been dashed by global research efforts. Nevertheless, according to the current state of knowledge, the material has interesting magnetic properties, and research groups around the world have prepared high quality samples. We use a fluctuation exchange approximation (FLEX) approach to study the magnetic tendencies in Pb$_9$Cu(PO$_4$)$_6$O. We find ferromagnetic fluctuations very close to the filling of the stoichiometric compound which can be understood from Fermi surface nesting at the M point. This is similar to the one-band triangular lattice Hamiltonian at three-quarter filling. Interestingly, the special kz dependence of the Pb$_9$Cu(PO$_4$)$_6$O band structure makes it very sensitive to doping. Only slight charge doping switches between antiferromagnetic and ferromagnetic fluctuations. If the material could become superconducting, it might be easily switchable between singlet and triplet superconductivity.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The hope that copper doped lead apatite Pb$_9$Cu(PO$_4$)$_6$O is a room-temperature superconductor has largely been dashed by global research efforts. | background 1.00 | 0.04 | 0.04 | asserted 0.95 |
| s1 | Nevertheless, according to the current state of knowledge, the material has interesting magnetic properties, and research groups around the world have prepared high quality samples. | background 1.00 | 0.04 | 0.02 | asserted 0.92 |
| s2 | We use a fluctuation exchange approximation (FLEX) approach to study the magnetic tendencies in Pb$_9$Cu(PO$_4$)$_6$O. | method 0.86 | 0.95 | 0.03 | asserted 0.96 |
| s3 | We find ferromagnetic fluctuations very close to the filling of the stoichiometric compound which can be understood from Fermi surface nesting at the M point. | result 1.00 | 0.96 | 0.53 | asserted 1.00 |
| s4 | This is similar to the one-band triangular lattice Hamiltonian at three-quarter filling. | interpretation 0.91 | 0.48 | 0.07 | asserted 0.99 |
| s5 | Interestingly, the special kz dependence of the Pb$_9$Cu(PO$_4$)$_6$O band structure makes it very sensitive to doping. | result 0.80 | 0.70 | 0.07 | asserted 1.00 |
| s6 | Only slight charge doping switches between antiferromagnetic and ferromagnetic fluctuations. | result 0.99 | 0.84 | 0.28 | asserted 1.00 |
| s7 | If the material could become superconducting, it might be easily switchable between singlet and triplet superconductivity. | interpretation 0.98 | 0.21 | 0.10 | speculative 0.91 |
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The paper
Original abstract
The hope that copper doped lead apatite Pb$_9$Cu(PO$_4$)$_6$O is a room-temperature superconductor has largely been dashed by global research efforts. Nevertheless, according to the current state of knowledge, the material has interesting magnetic properties, and research groups around the world have prepared high quality samples. We use a fluctuation exchange approximation (FLEX) approach to study the magnetic tendencies in Pb$_9$Cu(PO$_4$)$_6$O. We find ferromagnetic fluctuations very close to the filling of the stoichiometric compound which can be understood from Fermi surface nesting at the M point. This is similar to the one-band triangular lattice Hamiltonian at three-quarter filling. Interestingly, the special kz dependence of the Pb$_9$Cu(PO$_4$)$_6$O band structure makes it very sensitive to doping. Only slight charge doping switches between antiferromagnetic and ferromagnetic fluctuations. If the material could become superconducting, it might be easily switchable between singlet and triplet superconductivity.
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What this paper does with the arXiv papers it cites
What it cites · 26 sentences without a confident label
Uses data or values from 1 paper
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As DFT structure prediction has well known issues for correlated oxides, we use experimental [ref] rather than DFT predicted lattice parameters.
The First Room-Temperature Ambient-Pressure Superconductor · Electronic structure · 0.96
Compares with 2 papers
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It is similar to the structures considered in other works [ref] .
Electronic structure of the putative room-temperature superconductor Pb$_9$Cu(PO$_4$)$_6$O · Electronic structure · 0.95
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It is similar to the structures considered in other works [ref] .
Pb$_9$Cu(PO4)$_6$(OH)$_2$: Phonon bands, Localized Flat Band Magnetism, Models, and Chemical Analysis · Electronic structure · 0.95
Cites as background 11 papers
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Superconductivity has been theoretically studied using the two-dimensional $t$-$J$ model [ref] and spin fluctuation theory [ref] .
No superconductivity in Pb$_9$Cu$_1$(PO$_4$)$_6$O found in orbital and spin fluctuation exchange calculations · Introduction · 0.88
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Superconductivity has been theoretically studied using the two-dimensional $t$-$J$ model [ref] and spin fluctuation theory [ref] .
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 · Introduction · 0.88
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Copper doped lead apatite has recently been put forward as a candidate for room temperature superconductivity at ambient pressure [ref] , causing substantial excitement in the scientific community.
The First Room-Temperature Ambient-Pressure Superconductor · Introduction · 0.92
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