Mott transition in bosonic systems: Insights from the variational approach

Details Mott transition in bosonic systems: Insights from the variational approach Mott transition in bosonic systems: Insights from the variational approach

2008-01-07

arxiv.org/abs/0801.0952v1

Physical Review B 77, 144517 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

12 pages and 19 figures. Related to arXiv:0705.2684

Scientific paper

10.1103/PhysRevB.77.144517

We study the Mott transition occurring for bosonic Hubbard models in one, two, and three spatial dimensions, by means of a variational wave function benchmarked by Green's function Monte Carlo calculations. We show that a very accurate variational wave function, constructed by applying a long-range Jastrow factor to the non-interacting boson ground state, can describe the superfluid-insulator transition in any dimensionality. Moreover, by mapping the quantum averages over such a wave function into the the partition function of a classical model, important insights into the insulating phase are uncovered. Finally, the evidence in favor of anomalous scenarios for the Mott transition in two dimensions are reported whenever additional long-range repulsive interactions are added to the Hamiltonian.

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