Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach

Details Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach Competing Orders in One-Dimensional Half-Integer Fermionic Cold Atoms: A Conformal Field Theory Approach

2007-11-29

arxiv.org/abs/0711.4731v3

Nucl. Phys. B 798, 443 (2008)

Physics

Condensed Matter

Strongly Correlated Electrons

35 pages, 3 figures, final version to appear in Nucl. Phys. B

Scientific paper

10.1016/j.nuclphysb.2007.12.034

The physical properties of arbitrary half-integer spins F = N - 1/2 fermionic cold atoms loaded into a one-dimensional optical lattice are investigated by means of a conformal field theory approach. We show that for attractive interactions two different superfluid phases emerge for F \ge 3/2: A BCS pairing phase, and a molecular superfluid phase which is formed from bound-states made of 2N fermions. In the low-energy approach, the competition between these instabilities and charge-density waves is described in terms of Z_N parafermionic degrees of freedom. The quantum phase transition for F=3/2,5/2 is universal and shown to belong to the Ising and three-state Potts universality classes respectively. For a filling of one atom per site, a Mott transition occurs and the nature of the possible Mott-insulating phases are determined.

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