Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2003-09-29
Phys. Rev. A 69, 053612 (2004)
Physics
Condensed Matter
Strongly Correlated Electrons
RevTex file, 13 pages, 19 figures, published version
Scientific paper
10.1103/PhysRevA.69.053612
Using quantum Monte Carlo (QMC) simulations we study the ground-state properties of the one-dimensional fermionic Hubbard model in traps with an underlying lattice. Since due to the confining potential the density is space dependent, Mott-insulating domains always coexist with metallic regions, such that global quantities are not appropriate to describe the system. We define a local compressibility that characterizes the Mott-insulating regions and analyze other local quantities. It is shown that the momentum distribution function, a quantity that is commonly considered in experiments, fails in giving a clear signal of the Mott-insulator transition. Furthermore, we analyze a mean-field approach to these systems and compare it with the numerically exact QMC results. Finally, we determine a generic form for the phase diagram that allows us to predict the phases to be observed in the experiments.
Muramatsu Alejandro
Rigol Marcos
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