Magnetic and Superfluid Transitions in the d=1 Spin-1 Boson Hubbard Model - Condensed Matter > Other Condensed MatterReport as inadecuate




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Abstract: The interplay between magnetism and metal-insulator transitions isfundamental to the rich physics of the single band fermion Hubbard model FHM.Recent progress in experiments on trapped ultra-cold atoms have made possiblethe exploration of similar effects in the boson Hubbard model BHM. This paperreports Quantum Monte Carlo QMC simulations of the spin-1 BHM in the groundstate. In the case of antiferromagnetic interactions, which favor singletformation within the Mott insulator lobes, we present exact numerical evidencethat the superfluid-insulator phase transition is first second orderdepending on whether the Mott lobe is even odd. In the ferromagnetic case,the transitions are all continuous. We obtain the phase diagram in the case ofattractive spin interactions and demonstrate the existence of the ferromagneticsuperfluid. We also compare the QMC phase diagram with a third orderperturbation calculation.



Author: G.G. Batrouni, V.G. Rousseau, R.T. Scalettar

Source: https://arxiv.org/







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