Phase diagram of the $t-t'-U$ chain at half filling

Details Phase diagram of the $t-t'-U$ chain at half filling Phase diagram of the $t-t'-U$ chain at half filling

2003-02-05

arxiv.org/abs/cond-mat/0302106v1

Physics

Condensed Matter

Strongly Correlated Electrons

6 pages including 7 figures

Scientific paper

10.1103/PhysRevB.67.165102

We study the half filled Hubbard chain including next-nearest-neighbor hopping $t'$. The model has three phases: one insulating phase with dominant spin-density-wave correlations at large distances (SDWI), another phase with dominant spin-dimer correlations or dimerized insulator (DI), and a third one in which long distance correlations indicate singlet superconductivity (SS). The boundaries of the SDWI are accurately determined numerically through a crossing of excited energy levels equivalent to the jump in the spin Berry phase. The DI-SS boundary is studied using several indicators like correlation exponent $K_{\rho}$, Drude weight $D_{c}$, localization parameter $z_{L}$ and charge gap $\Delta_{c}$.

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