On-site pairing and microscopic inhomogeneneity in confined lattice fermion systems

M. Machida, S. Yamada, Y. Ohashi, H. Matsumoto

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


In order to explore a universal feature of atomic Fermi gases loaded on optical lattices, we make a systematic study of the particle density profile for one- and two-dimensional attractive Hubbard models with harmonic potential wells. Using the exact diagonalization scheme and the density-matrix renormalization group technique, we show that fine inhomogeneous zigzag patterns universally emerge in the above models. Theoretical and numerical analyses suggest that these structures originate from an effective repulsive interaction between tightly bound pairs and a breakdown of translational invariance. Furthermore, it is emphasized that the pattern obtained numerically in the two-dimensional model is the checkerboard type, which is very similar to results recently observed in a vortex core of high- Tc cuprate superconductor.

Original languageEnglish
Article number053621
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Issue number5
Publication statusPublished - 2006 Dec 6

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics


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