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, which is constructed by applying a long-range Jastrow factor to the noninteracting 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 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 is reported whenever additional long-range repulsive interactions are added to the Hamiltonian.
Titolo: | Mott transition in bosonic systems: Insights from the variational approach |
Autori: | Capello, M; Becca, Federico; Fabrizio, Michele; Sorella, Sandro |
Rivista: | |
Data di pubblicazione: | 2008 |
Volume: | 77 |
Fascicolo: | 14 |
Pagina iniziale: | 1 |
Pagina finale: | 11 |
Numero di Articolo: | 144517 |
Digital Object Identifier (DOI): | 10.1103/PhysRevB.77.144517 |
URL: | http://link.aps.org/doi/10.1103/PhysRevB.77.144517 https://arxiv.org/abs/0801.0952 |
Appare nelle tipologie: | 1.1 Journal article |
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