Introduces the eigenwalk problem and proves a linear-diameter support-localization theorem for sparse eigenvectors, yielding poly(n)-time classical exact diagonalization for O(1)-sparse extremal eigenvectors of poly(n)-sparse 2^n-dimensional Hamiltonians.
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Derives static effective Hamiltonians via cRPA and mRPA downfolding with double-counting corrections and compares performance on benzene ground state and bond dissociation curves.
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Polynomial-time exact diagonalization via sparse guided eigenwalks
Introduces the eigenwalk problem and proves a linear-diameter support-localization theorem for sparse eigenvectors, yielding poly(n)-time classical exact diagonalization for O(1)-sparse extremal eigenvectors of poly(n)-sparse 2^n-dimensional Hamiltonians.
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Static Effective Hamiltonians for Molecular Systems through RPA-based downfolding
Derives static effective Hamiltonians via cRPA and mRPA downfolding with double-counting corrections and compares performance on benzene ground state and bond dissociation curves.