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Phys. Rev. A 72, 061602(R) (2005) [4 pages]

Phase diagram of harmonically confined one-dimensional fermions with attractive and repulsive interactions

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V. L. Campo, Jr. and K. Capelle
Departamento de Física e Informática, Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP, Brazil

Received 2 August 2005; published 16 December 2005

We construct the complete U-μ phase diagram for harmonically confined ultracold fermionic atoms with repulsive and attractive interactions(μ is the chemical potential and U the interaction strength). Our approach is based on density-functional theory, and employs analytical expressions for the kinetic and correlation energy functionals, permitting us to obtain closed expressions for all phase boundaries and characteristic lines of the phase diagram, both for repulsive and attractive interactions.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.061602
DOI:
10.1103/PhysRevA.72.061602
PACS:
03.75.Ss, 71.15.Mb, 71.10.Pm, 71.30.+h