Mott lobes evolution of the spin-1 Bose-Hubbard model

3rd International Meeting for Researchers in Materials and Plasma Technology; 1st Symposium on Nanoscience and Nanotechnology

物理学;材料科学

Hincapie-F, A.F.^1 ; Franco, R.^1 ; Silva-Valencia, J.^1

Universidad Nacional de Colombia, Bogotá, Colombia^1

关键词: Antiferromagnetics;    Bose Hubbard model;    Density matrix renormalization group;    Ferromagnetic and anti-ferromagnetic;    One dimensional optical lattice;    Spin-exchange interaction;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/687/1/012071/pdf
DOI  :  10.1088/1742-6596/687/1/012071

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

We study spin-1 bosons confined in a one-dimensional optical lattice, taking into consideration both ferromagnetic and antiferromagnetic interaction. Using the density matrix renormalization group, we determine the phase diagram for the two firsts lobes and report the evolution of the first and second Mott lobes with respect to the spin-exchange interaction parameter (U2). We determine that for the antiferromagnetic case, the first lobe is suppressed while the second grows as |U2| increases. For the ferromagnetic case, the first and second Mott lobes are suppressed by the spin-exchange interaction parameter. We propose an expresion to describe the evolution of the critical point with the increase in |U2| for both cases.