Antiferromagnetism of Repulsively Interacting Fermions in a harmonic trap

Abstract

We propose a Real-Space Gutzwiller variational approach and apply it to a system of repulsively interacting ultracold fermions with spin 1/2 trapped in an optical lattice with a harmonic confinement. Using the Real-Space Gutzwiller variational approach, we find that in system with balanced spin-mixtures on a square lattice, antiferromagnetism either appears in a checkerboard pattern or forms a ring and antiferromagnetic order is stable in the regions where the particle density is close to one, which is consistent with the recent results obtained by the Real-Space Dynamical Mean-field Theory approach. We also investigate the imbalanced case and find that antiferromagnetic order is suppressed there.

References in corpus (6)

• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Antiferromagnetic Order of Strongly Interacting Fermions in a Trap: Real-Space Dynamical Mean-Field Analysis
• LDA+Gutzwiller Method for Correlated Electron Systems: Formalism and Its Applications
• Magnetic and superfluid phases of confined fermions in two-dimensional optical lattices
• Magnetic structure of an imbalanced Fermi gas in an optical lattice
• Antiferromagnetic Order of Repulsively Interacting Fermions on Optical lattices

Cited by in corpus (1)

• Analysis of Particle Transfer by Periodic Lattice Modulation for Ultracold Fermionic Atom Systems in Three Dimensional Optical Lattice