Strong pairing and microscopic inhomogeneity of lattice fermion systems

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

Research output: Contribution to journalArticlepeer-review


In order to study an interplay between electronic inhomogeneity and superconductivity as seen in high-Tc cuprates, we numerically examine attractive Hubbard model in the absence of the translation symmetry. We systematically calculate the particle density profile for both 1-D and 2-D attractive Hubbard models with harmonic potential wells using the exact diagonalization and the density-matrix renormalization group methods. The numerical results reveal that fine inhomogeneous zig-zag patterns universally emerge in the 1-D model case and the zig-zag structure becomes checkerboard type in the 2-D one. Moreover, it is numerically and theoretically found that such inhomogeneities are caused by double occupation component, i.e., pairs tightly bound on a site.

Original languageEnglish
Pages (from-to)103-106
Number of pages4
JournalPhysica C: Superconductivity and its applications
Issue numberSUPPL.
Publication statusPublished - 2007 Oct 1


  • Attractive Hubbard model
  • Confinement potential
  • Electronic inhomogeneity

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Energy Engineering and Power Technology
  • Electrical and Electronic Engineering


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