Abstract
The A B N − 1 chain is a system that consists of repeating a unit cell with N sites where between the A and B sites there is an energy difference of λ. We considered bosons in these special lattices and took into account the kinetic energy, the local two-body interaction, and the inhomogenous local energy in the Hamiltonian. We found the charge density wave (CDW) and superfluid and Mott insulator phases, and constructed the phase diagram for N = 2 and 3 at the thermodynamic limit. The system exhibited insulator phases for densities ρ = α/N, with α being an integer. We obtained that superfluid regions separate the insulator phases for densities larger than one. For any N value, we found that for integer densities ρ, the system exhibits ρ + 1 insulator phases, a Mott insulator phase, and ρ CDW phases. For non-integer densities larger than one, several CDW phases appear.
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Cruz, G., Franco, R. & Silva-Valencia, J. Phase diagrams of bosonic ABn chains. Eur. Phys. J. B 89, 106 (2016). https://doi.org/10.1140/epjb/e2016-60331-5
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DOI: https://doi.org/10.1140/epjb/e2016-60331-5