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

V. L. Campo, J. Quintanilla, C. Hooley

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

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. (c) 2009 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)3328-3331
Number of pages4
JournalPhysica B : Condensed Matter
Volume404
Issue number19
DOIs
Publication statusPublished - 15 Oct 2009

Keywords

  • Hubbard model
  • Critical behavior
  • Confining potential
  • Ultra-cold fermions

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