TY - JOUR
T1 - Strong pairing and microscopic inhomogeneity of lattice fermion systems
AU - Yamada, S.
AU - Machida, M.
AU - Ohashi, Y.
AU - Matsumoto, H.
N1 - Funding Information:
Two of authors (S.Y. and M.M.) thank G. Yagawa, T. Hirayama, N. Nakajima, C. Arakawa, and T. Kano for their supports and acknowledge all staff members in the Earth Simulator for their supports in the present calculations. S.Y. and M.M. also thank T. Imamura for his collaboration on the diagonalization methods, and acknowledge Y. Oyanagi and T. Hotta for their illuminating discussion in the diagonalization techniques. M.M. thank T. Ishida and K. Kadowaki for their financial support. The work was partially supported by Grant-in-Aid for Science Research on Priority Area “Physics on new quantum phases in superclean materials” (Grant Nos. 18043022 and 18043005) from the Ministry of Education, Culture, Sports, Science and Technology of Japan. This work was also supported by Grant-in-Aid for Science Research from MEXT, Japan (Grant Nos. 17540368 and 18500033).
PY - 2007/10/1
Y1 - 2007/10/1
N2 - 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.
AB - 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.
KW - Attractive Hubbard model
KW - Confinement potential
KW - Electronic inhomogeneity
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U2 - 10.1016/j.physc.2007.05.013
DO - 10.1016/j.physc.2007.05.013
M3 - Article
AN - SCOPUS:34548471999
SN - 0921-4534
VL - 463-465
SP - 103
EP - 106
JO - Physica C: Superconductivity and its applications
JF - Physica C: Superconductivity and its applications
IS - SUPPL.
ER -