SCALE and ACE are new convolutional backflow architectures for Neural Quantum States that deliver O(N^3) scaling with high accuracy and over 40x speedup on Hubbard and t-J models up to 32x32 lattices.
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cond-mat.str-el 3years
2026 3verdicts
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Three Transformer backflow fermionic wave functions for the finite-doping Hubbard model converge, after accuracy improvements, to the same state with coexisting superconducting and stripe orders, demonstrating that variational energy is insufficient to identify the ground state.
In the 2D attractive Hubbard model, Tc is enhanced near Van Hove singularities only for weak interactions, while the global maximum Tc occurs at intermediate coupling away from the singularity.
citing papers explorer
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Pareto Frontier of Neural Quantum States: Scalable, Affordable, and Accurate Convolutional Backflow for Strongly Correlated Lattice Fermions
SCALE and ACE are new convolutional backflow architectures for Neural Quantum States that deliver O(N^3) scaling with high accuracy and over 40x speedup on Hubbard and t-J models up to 32x32 lattices.
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Beyond Variational Bias: Resolving Intertwined Orders in the Hubbard Model
Three Transformer backflow fermionic wave functions for the finite-doping Hubbard model converge, after accuracy improvements, to the same state with coexisting superconducting and stripe orders, demonstrating that variational energy is insufficient to identify the ground state.
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Superconductivity near two-dimensional Van Hove singularities: a determinant quantum Monte Carlo study
In the 2D attractive Hubbard model, Tc is enhanced near Van Hove singularities only for weak interactions, while the global maximum Tc occurs at intermediate coupling away from the singularity.