Parton Mean-Field Theory of a Rydberg Quantum Spin Liquid induced by Density-Dependent Peierls Phases

Benno Bock; Simon Ohler; Michael Fleischhauer

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arXiv · 2505.23409

Parton Mean-Field Theory of a Rydberg Quantum Spin Liquid induced by Density-Dependent Peierls Phases

Benno Bock·Simon Ohler·Michael Fleischhauer

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Abstract

We derive a parton mean-field Hamiltonian for Rydberg excitations on a honeycomb lattice with nearest and density-dependent, complex next-nearest neighbor hopping. Numerical results obtained from exact diagonalization of small systems have given indications for a ground state that is a chiral spin liquid (CSL) [Phys.Rev.Res. 5, 013157 (2023)]. Here we provide further evidence for this. Calculating the ground-state wavefunction self-consistently, we show that the mean-field Hamiltonian fulfills the requirements for a CSL ground state, resulting from a projected symmetry group classification and verify the expected twofold topological degeneracy on a torus. Furthermore we find very good overlap with the ground-state wavefunctions obtained by exact diagonalization of the original Hamiltonian.

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Benno Bock, Simon Ohler, Michael Fleischhauer. 2025-05-29. Parton Mean-Field Theory of a Rydberg Quantum Spin Liquid induced by Density-Dependent Peierls Phases. https://arxiv.org/abs/2505.23409

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