Possible critical behavior driven by the confining potential in optical lattices with ultra-cold fermions

Campo, Vivaldo L and Quintanilla, Jorge and Hooley, Chris (2009) Possible critical behavior driven by the confining potential in optical lattices with ultra-cold fermions. Physica B: Condensed Matter, 404 (19). pp. 3328-3331. ISSN 0921-4526. (Full text available)

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http://dx.doi.org/10.1016/j.physb.2009.07.089

Abstract

A recent paper [V.L. Campo, et al., Phys. Rev. Lett. 99 (2007) 240403] 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 ->infinity.

Item Type: Article
Uncontrolled keywords: Hubbard model; Critical behavior; Confining potential; Ultra-cold fermions
Subjects: Q Science > QC Physics
Divisions: Faculties > Science Technology and Medical Studies > School of Physical Sciences > Functional Materials Group
Depositing User: Jorge Quintanilla
Date Deposited: 14 Oct 2010 14:31
Last Modified: 07 May 2014 11:21
Resource URI: http://kar.kent.ac.uk/id/eprint/25603 (The current URI for this page, for reference purposes)
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