Magnetic structure of an imbalanced Fermi gas in an optical lattice

Details Magnetic structure of an imbalanced Fermi gas in an optical lattice Magnetic structure of an imbalanced Fermi gas in an optical lattice

2009-09-04

arxiv.org/abs/0909.0976v2

Phys. Rev. A 81, 013616 (2010)

Physics

Condensed Matter

Quantum Gases

11 pages, 10 figures; Published version

Scientific paper

10.1103/PhysRevA.81.013616

We analyze the repulsive fermionic Hubbard model on square and cubic lattices with spin imbalance and in the presence of a parabolic confinement. We analyze the magnetic structure as a function of the repulsive interaction strength and polarization. In the first part of the paper we perform unrestricted Hartree-Fock calculations for the 2D case and find that above a critical interaction strength $U_c$ the system turns ferromagnetic at the edge of the trap, in agreement with the ferromagnetic Stoner instability of a homogeneous system away from half-filling. For $U

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