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arXiv · 2510.15034

Reconstructing Spin Hamiltonians of 2D Gutzwiller-Projected Wavefunctions

Lucas Z. Brito·J. B. Marston
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Abstract

We apply the correlation matrix Hamiltonian reconstruction technique to the two-dimensional Gutzwiller-projected Fermi sea and {\pi}-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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Lucas Z. Brito, J. B. Marston. 2025-10-16. Reconstructing Spin Hamiltonians of 2D Gutzwiller-Projected Wavefunctions. https://arxiv.org/abs/2510.15034

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