The study is limited to the extended Hubbard model with nearest-neighbor interaction
Research gap analysis derived from 3 physics papers in our local library.
The gap
The study is limited to the extended Hubbard model with nearest-neighbor interaction. The mean-field approximation is an exact approximation only in the limit of infinite coordination number. The study does not account for spatial correlati
Evidence profile
Sourced from the limitations section and abstract of the source papers, classified as general, drawn from work published between 2025 and 2026, spanning 3 journals. Those papers have been cited 5 times in total.
Research trend
Established — well-defined area with open sub-problems.
Supporting evidence — 3 representative gaps
- Charge order on a triangular lattice with Mott physics and arbitrary charge density (2026) · arXiv
The study is limited to the extended Hubbard model with nearest-neighbor interaction. The mean-field approximation is an exact approximation only in the limit of infinite coordination number. The study does not account for spatial correlations and magnetic orderings.
generallimitations sectionevidence 5/5Keywords: study limited extended hubbard model nearest-neighbor interaction mean-field - Filtered Quantum Phase Estimation (2026) · Quantum Science and Technology · doi
The filters lack a sufficiently sharp spectral transition near the ground state energy with a limited number of basis terms, - The interval from the filter's main peak to its spectral edge remains too wide to clearly separate the ground and first-excited states, - The study focuses on numerical experiments using electronic structure Hamiltonians of Fermi-Hubbard models
generallimitations sectionevidence 5/5Keywords: filters lack sufficiently sharp spectral transition near ground - Classical Benchmarks for Variational Quantum Eigensolver Simulations of the Hubbard Model (2025) · Quantum · cited 5× · doi
While these algorithms have been shown to reproduce the qualitative features of the Hubbard model, their quantitative accuracy in terms of producing true ground state energies and other properties, and the dependence of this accuracy on the system size and interaction strength, the choice of variational ansatz, and the degree of spatial inhomogeneity in the model, remains unknown.
generalabstractevidence 5/5Keywords: model accuracy algorithms reproduce qualitative features hubbard quantitative terms producing true ground state energies properties
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