Critical behavior driven by the confining potential in optical lattices with ultra-cold fermions?

Details Critical behavior driven by the confining potential in optical lattices with ultra-cold fermions? Critical behavior driven by the confining potential in optical lattices with ultra-cold fermions?

2008-09-12

arxiv.org/abs/0809.2186v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 Postscript figures, uses elsart5p.cls, elsart.cls, submitted as proceeding to SCES-08 (Strongly Correlated Electron

Scientific paper

A recent paper [V. L. Campo et. al., Phys. Rev. Lett. 99, 240403 (2007) has proposed a two-parameter scaling method to determine the phase diagram of the fermionic Hubbard model from optical lattice experiments. Motivated by this proposal, we investigate in more detail, the behavior of the ground-state energy per site as a function of trap size(L) and confining potential (V(x) = t(x/L)^alpha) in the one-dimensional case. Using the BALDA-DFT method, we find signatures of critical behavior as alpha goes to infinity.

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