An iPEPS-based tensor-network approach computes dispersion relations in 2D and 3D quantum systems, with the first such calculations demonstrated for three-dimensional lattices on the transverse-field Ising model.
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Seven exact theorems for the Hubbard model on bipartite lattices d>1 are established from the [SU(2)×SU(2)×U(1)]/Z₂² symmetry.
Long-range hoppings beyond the conventional three parameters are necessary in the Emery model for a quantitatively correct superconducting phase diagram and proper d-wave order parameter, as shown with dynamical vertex approximation.
One fixed parameter set in the layered t-J-V model accounts for acousticlike plasmon dispersions across the entire cuprate phase diagram in available RIXS data.
Superconductivity in La3Ni2O7 arises from interlayer Cooper pairs of 3d_x2-y2 electrons driven by effective J_perp from Hund-assisted AFM exchange transfer, while localized 3d_z2 electrons form rung singlets that produce a pseudogap but no condensate.
citing papers explorer
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Dispersion Relations in Two- and Three-Dimensional Quantum Systems
An iPEPS-based tensor-network approach computes dispersion relations in 2D and 3D quantum systems, with the first such calculations demonstrated for three-dimensional lattices on the transverse-field Ising model.
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Exact results for the Hubbard model on bipartite lattices in spatial dimensions $d>1$: Seven theorems from the full [SU(2)$\times$SU(2)$\times$U(1)]/$\mathbb{Z}_2^2$ symmetry
Seven exact theorems for the Hubbard model on bipartite lattices d>1 are established from the [SU(2)×SU(2)×U(1)]/Z₂² symmetry.
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Beyond the conventional Emery model: crucial role of long-range hopping for cuprate superconductivity
Long-range hoppings beyond the conventional three parameters are necessary in the Emery model for a quantitatively correct superconducting phase diagram and proper d-wave order parameter, as shown with dynamical vertex approximation.
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Strongly correlated model of acousticlike plasmons persisting across the phase diagram of cuprate superconductors
One fixed parameter set in the layered t-J-V model accounts for acousticlike plasmon dispersions across the entire cuprate phase diagram in available RIXS data.
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Superconductivity in bilayer La$_3$Ni$_2$O$_7$: A review focusing on the strong-coupling Hund's rule assisted pairing mechanism
Superconductivity in La3Ni2O7 arises from interlayer Cooper pairs of 3d_x2-y2 electrons driven by effective J_perp from Hund-assisted AFM exchange transfer, while localized 3d_z2 electrons form rung singlets that produce a pseudogap but no condensate.