Systematic Analysis of Crystalline Phases in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions

• URL: http://arxiv.org/abs/2212.02091v1
• Date: Mon, 5 Dec 2022 08:19:25 GMT
• Title: Systematic Analysis of Crystalline Phases in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions
• Authors: J.A. Koziol, A. Duft, G. Morigi, K.P. Schmidt
• Abstract summary: We propose a general approach to analyse diagonal ordering patterns in bosonic lattice models. We evaluate the energy of the ordering patterns in the thermodynamic limit using finite unit cells. We also probe the classical limit of the Fendley-Sengupta-Sachdev model describing Rydberg atom arrays.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a general approach to analyse diagonal ordering patterns in bosonic lattice models with algebraically decaying density-density interactions on arbitrary lattices. The key idea is a systematic search for the energetically best order on all unit cells of the lattice up to a given extent. Using resummed couplings we evaluate the energy of the ordering patterns in the thermodynamic limit using finite unit cells. We apply the proposed approach to the atomic limit of the extended Bose-Hubbard model on the triangular lattice at fillings $f=1/2$ and $f=1$. We investigate the ground-state properties of the antiferromagnetic long-range Ising model on the triangular lattice and determine a six-fold degenerate plain-stripe phase to be the ground state for finite decay exponents. We also probe the classical limit of the Fendley-Sengupta-Sachdev model describing Rydberg atom arrays. We focus on arrangements where the atoms are placed on the sites or links of the Kagome lattice.

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