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Reconstructing Spin Hamiltonians of 2D Gutzwiller-Projected Wavefunctions

2025/10/16 by Lucas Z. Brito, Brito, Lucas Z., J. B. Marston +1
Physics and Astronomy · Materials Science · #Quantum many-body systems #Physics of Superconductivity and Magnetism #Organic and Molecular Conductors Research

paper · pdf · doi:10.48550/arxiv.2510.15034

Abstract

We apply the correlation matrix Hamiltonian reconstruction technique to the two-dimensional Gutzwiller-projected Fermi sea and π-flux states on finite-sized square and triangular lattices. Our results indicate no spin Hamiltonian with simple local interaction terms stabilizes such states for finite system sizes. We develop a quantitative assessment of the importance of local interactions to the stabilization of these liquid states. Lastly, we systematically assess arguments for the origin of local terms driving a Gutzwiller-projected ground state.

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