Physics – Condensed Matter – Quantum Gases
Scientific paper
2010-08-18
Phys. Rev. A 83, 031606(R) (2011)
Physics
Condensed Matter
Quantum Gases
Scientific paper
10.1103/PhysRevA.83.031606
We consider repulsively-interacting cold fermionic atoms loaded on an optical ladder lattice in a trapping potential. The density-matrix renormalization-group method is used to numerically calculate the ground state for systematically varied values of interaction U and spin imbalance p in the Hubbard model on the ladder. The system exhibits rich structures, where a fully spin polarized phase, spatially separated from other domains in the trapping potential, appears for large enough U and p. The phase-separated ferromagnetism can be captured as a real-space image of the energy gap between the ferromagnetic and other states arising from a combined effect of Nagaoka's ferromagnetism extended to the ladder and the density dependence of the energy separation between competing states. We also predict how to maximize the ferromagnetic region.
Aoki Hideo
Machida Mami
Okumura Masahiko
Yamada Shoichi
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