Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2007-07-21
Phys. Rev. B 76, 155114 (2007)
Physics
Condensed Matter
Strongly Correlated Electrons
12 pages, 14 figures, submitted to Phys. Rev. B
Scientific paper
10.1103/PhysRevB.76.155114
Phase diagram of the Hubbard-Holstein model in the coexistence of electron-electron and electron-phonon interactions has been theoretically obtained with the density-matrix renormalization group method for one-dimensional (1D) systems, where an improved warm-up (the recursive sweep) procedure has enabled us to calculate various correlation functions. We have examined the cases of (i) the systems half-filled by electrons for the full parameter space spanned by the electron-electron and electron-phonon coupling constants and the phonon frequency, (ii) non-half-filled system, and (iii) trestle lattice. For (i), we have detected a region where both the charge and on-site pairing correlations decay with power-laws in real space, which suggests a metallic behavior. While pairing correlations are not dominant in (i), we have found that they become dominant as the system is doped in (ii), or as the electronic band structure is modified (with a broken electron-hole symmetry) in (iii) in certain parameter regions.
Aoki Hideo
Arita Ryotaro
Tezuka Masaki
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