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

Campo, Vivaldo L, Quintanilla, Jorge, 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. (doi:10.1016/j.physb.2009.07.089) (KAR id:25603)

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Official URL
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
DOI/Identification number: 10.1016/j.physb.2009.07.089
Uncontrolled keywords: Physics of Quantum Materials, Hubbard model, Critical behavior, Confining potential, Ultra-cold, fermions
Subjects: Q Science > QC Physics
Divisions: Divisions > Division of Natural Sciences > School of Physical Sciences
Depositing User: Jorge Quintanilla Tizon
Date Deposited: 14 Oct 2010 14:31 UTC
Last Modified: 27 Jul 2021 10:16 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/25603 (The current URI for this page, for reference purposes)
Quintanilla, Jorge: https://orcid.org/0000-0002-8572-730X
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