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Dimerized Mott insulators in hexagonal optical lattices

2014/04/30 by Ole Jürgensen, Dirk-Sören Lühmann
Chemistry · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Semiconductor Quantum Structures and Devices #Spectroscopy and Laser Applications #cond-mat.quant-gas

paper · pdf · doi:10.1088/1367-2630/16/9/093023

published as New J. Phys. 16 093023 (2014) · 7 pages, 4 figures

arxiv created 2014/09/10 · openalex publication_date 2014/09/19 · arxiv updated 2014/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We study bosonic atoms in optical honeycomb lattices with anisotropic tunneling and find dimerized Mott insulator (MI) phases with fractional filling. These incompressible insulating phases are characterized by an interaction-driven localization of particles in respect to the individual dimers and large local particle-number fluctuations within the dimers. We calculate the ground-state phase diagrams and the excitation spectra using an accurate cluster mean-field method. The cluster treatment enables us to probe the fundamental excitations of the dimerized MI where the excitation gap is dominated by the intra-dimer tunneling amplitude. This allows the distinction from normal Mott insulating phases gapped by the on-site interaction. In addition, we present analytical results for the phase diagram derived by a higher-order strong-coupling perturbative expansion approach. By computing finite lattices with large diameters the influence of a harmonic confinement is discussed in detail. It is shown that a large fraction of atoms forms the dimerized MI under experimental conditions. The necessary anisotropic tunneling can be realized either by periodic driving of the optical lattice or by engineering directly a dimerized lattice potential. The dimers can be mapped to their antisymmetric states creating a lattice with coupled p -orbitals.

Citations