Bose-Hubbard Model on a Honeycomb Superlattice: Quantum Phase Transitions and Lattice Effects

• URL: http://arxiv.org/abs/2506.06984v1
• Date: Sun, 08 Jun 2025 03:50:07 GMT
• Title: Bose-Hubbard Model on a Honeycomb Superlattice: Quantum Phase Transitions and Lattice Effects
• Authors: Wei-Wei Wang, Jin Yang, Jian-Ping Lv, Chao Zhang,
• Abstract summary: We investigate the ground-state and finite-temperature phase diagrams of the Bose-Hubbard model on a honeycomb superlattice.<n>The interplay between the superlattice potential depth $Delta/t$ and the onsite interaction $U/t$ gives rise to three distinct quantum phases at zero temperature.<n>Our work highlights how a honeycomb superlattice geometry enables access to interaction- and lattice-modulation-driven quantum phases, including a density-imbalanced Mott insulator and a robust superfluid regime.
• Score: 6.976726720724285
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate the ground-state and finite-temperature phase diagrams of the Bose-Hubbard model on a honeycomb superlattice. The interplay between the superlattice potential depth $\Delta/t$ and the onsite interaction $U/t$ gives rise to three distinct quantum phases at zero temperature: a superfluid phase, a Mott insulator I phase with unit filling on each site, and a Mott insulator II phase characterized by density imbalance-double occupancy on one sublattice and vacancy on the other at unit filling. The SF-MI transitions are found to be continuous, consistent with second-order quantum phase transitions. We further extend our analysis to finite temperatures within the superfluid regime. Our work highlights how a honeycomb superlattice geometry enables access to interaction- and lattice-modulation-driven quantum phases, including a density-imbalanced Mott insulator and a robust superfluid regime, offering concrete theoretical predictions for cold-atom experiments.

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