SAMOP 2023 – wissenschaftliches Programm

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QI: Fachverband Quanteninformation

QI 37: Quantum Many Body Systems

QI 37.3: Vortrag

Freitag, 10. März 2023, 15:00–15:15, F428

Systematic Analysis of Diagonal Ordering Patterns in Bosonic Lattice Models with Algebraically Decaying Density-Density Interactions — •Jan Alexander Koziol¹, Antonia Duft¹, Giovanna Morigi², and Kai Phillip Schmidt¹ — ¹Department of Physics, Staudtstraße 7, Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany — ²Theoretical Physics, Saarland University, Campus E2.6, D-66123 Saarbrücken, Germany

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 pattern in the thermodynamic limit using finite unit cells. We apply the proposed approach to the atomic limit of the extended Bose-Hubbard on a 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 Hamiltonian describing Rydberg atom arrangements on the sites and links of the Kagome lattice.