Charge distribution and magnetism in bilayer La$_3$Ni$_2$O$_7$: a hybrid functional study

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Main Authors: Foyevtsova, Kateryna, Elfimov, Ilya, Sawatzky, George A.
Format: Preprint
Published: 2025
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author Foyevtsova, Kateryna
Elfimov, Ilya
Sawatzky, George A.
author_facet Foyevtsova, Kateryna
Elfimov, Ilya
Sawatzky, George A.
contents An accurate understanding of the ground state electronic properties of La$_3$Ni$_2$O$_7$, a high-temperature superconductor under pressure, is key for unveiling the origin of its superconductivity. In this paper, we conduct a theoretical study of the electronic structure of the bilayer polymorph of La$_3$Ni$_2$O$_7$ using the hybrid functional approach, which is well suited to tackle the non-local correlation effects arising in this system from the molecular orbital splitting of the Ni $3d_{3z^2-r^2}$ states inside Ni-Ni dimers. Our calculations reveal that bilayer La$_3$Ni$_2$O$_7$ is a strongly correlated magnetic system with robust Ni spin moments. Spin moments on individual Ni sites take on unusually small values because of the electron delocalization over molecular orbitals involving multiple Ni and O sites. We further find that the magnetism of bilayer La$_3$Ni$_2$O$_7$ is intimately linked with charge distribution between different Ni and O orbitals. Two distinct regimes are identified in this regard. In one, molecular orbital physics drives the Ni $3d_{x^2-y^2}$ band towards half-filling, which is a well-established condition for unconventional high-temperature superconductivity upon hole doping in cuprates. In the other, the Ni $3d_{x^2-y^2}$ band is quarter-filled favouring spin- and charge-density wave states and Ni-O bond-disproportionation, which is consistent with several recent experimental claims. It is possible that superconductivity in La$_3$Ni$_2$O$_7$ occurs as a result of a pressure-induced transition between these two competing regimes. Since none of the low energy phases discovered in this study are metallic, non-stoichiometry would be required for superconductivity to occur.
format Preprint
id arxiv_https___arxiv_org_abs_2507_08123
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Charge distribution and magnetism in bilayer La$_3$Ni$_2$O$_7$: a hybrid functional study
Foyevtsova, Kateryna
Elfimov, Ilya
Sawatzky, George A.
Superconductivity
Materials Science
An accurate understanding of the ground state electronic properties of La$_3$Ni$_2$O$_7$, a high-temperature superconductor under pressure, is key for unveiling the origin of its superconductivity. In this paper, we conduct a theoretical study of the electronic structure of the bilayer polymorph of La$_3$Ni$_2$O$_7$ using the hybrid functional approach, which is well suited to tackle the non-local correlation effects arising in this system from the molecular orbital splitting of the Ni $3d_{3z^2-r^2}$ states inside Ni-Ni dimers. Our calculations reveal that bilayer La$_3$Ni$_2$O$_7$ is a strongly correlated magnetic system with robust Ni spin moments. Spin moments on individual Ni sites take on unusually small values because of the electron delocalization over molecular orbitals involving multiple Ni and O sites. We further find that the magnetism of bilayer La$_3$Ni$_2$O$_7$ is intimately linked with charge distribution between different Ni and O orbitals. Two distinct regimes are identified in this regard. In one, molecular orbital physics drives the Ni $3d_{x^2-y^2}$ band towards half-filling, which is a well-established condition for unconventional high-temperature superconductivity upon hole doping in cuprates. In the other, the Ni $3d_{x^2-y^2}$ band is quarter-filled favouring spin- and charge-density wave states and Ni-O bond-disproportionation, which is consistent with several recent experimental claims. It is possible that superconductivity in La$_3$Ni$_2$O$_7$ occurs as a result of a pressure-induced transition between these two competing regimes. Since none of the low energy phases discovered in this study are metallic, non-stoichiometry would be required for superconductivity to occur.
title Charge distribution and magnetism in bilayer La$_3$Ni$_2$O$_7$: a hybrid functional study
topic Superconductivity
Materials Science
url https://arxiv.org/abs/2507.08123