Systematic analysis of crystalline phases in bosonic lattice models with algebraically decaying density-density interactions

Koziol J, Duft A, Morigi G, Schmidt KP (2023)

Publication Type: Journal article

Publication year: 2023

Journal

SciPost Physics SciPost

Book Volume: 14

Article Number: 136

Journal Issue: 5

DOI: 10.21468/SciPostPhys.14.5.136

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. Our method provides a general framework to treat cristalline structures resulting from long-range interactions.

Authors with CRIS profile

Jan Koziol Lehrstuhl für Theoretische Physik Antonia Duft Professur für Theoretische Physik Kai Phillip Schmidt Professur für Theoretische Physik

Additional Organisation(s)

FAU Profilzentrum Licht.Materie.Quantentechnologien (FAU LMQ) Sonderforschungsbereich/Transregio 306/1: Quantenkooperativität von Licht und Materie - QuCoLiMa

Related research project(s)

Spatio-temporal structures in interacting spin systems (D02) TRR 306: Quantenkooperativität von Licht und Materie – QuCoLiMa Jan. 1, 2021 - Dec. 31, 2024 Competing interactions in strongly correlated light-matter assemblies (D03) TRR 306: Quantenkooperativität von Licht und Materie – QuCoLiMa Jan. 1, 2021 - Dec. 31, 2024

Involved external institutions

Universität des Saarlandes (UdS) DE Germany (DE)

How to cite

APA:

Koziol, J., Duft, A., Morigi, G., & Schmidt, K.P. (2023). Systematic analysis of crystalline phases in bosonic lattice models with algebraically decaying density-density interactions. SciPost Physics, 14(5). https://doi.org/10.21468/SciPostPhys.14.5.136

MLA:

Koziol, Jan, et al. "Systematic analysis of crystalline phases in bosonic lattice models with algebraically decaying density-density interactions." SciPost Physics 14.5 (2023).

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