Phase diagram of harmonically confined one-dimensional fermions with attractive and repulsive interactions
Phase diagram of harmonically confined one-dimensional fermions with attractive and repulsive interactions
We construct the complete $U$-$\mu$ phase diagram for harmonically confined ultracold fermionic atoms with repulsive and attractive interactions. ($\mu$ 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. For repulsive interactions our …