Spin-Gap Phase in the One-Dimensional t-J-J' Model

Details Spin-Gap Phase in the One-Dimensional t-J-J' Model Spin-Gap Phase in the One-Dimensional t-J-J' Model

1998-01-26

arxiv.org/abs/cond-mat/9801263v2

J. Phys. Soc. Jpn. 67 (1998) 717

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages(JPSJ.sty), 5 figures(EPS), to appear in J. Phys. Soc. Jpn. 67, No.3 (1998)

Scientific paper

10.1143/JPSJ.67.717

The spin-gap phase of the one-dimensional t-J-J' model is studied by the level-crossing of the singlet and the triplet excitation spectra. The phase boundary obtained between the Tomonaga-Luttinger and the spin-gap phases is remarkably consistent with the analytical results at the $J,J'\to 0$ and the low-density limits discussed by Ogata et al. The spin-gap phase has a single domain in the phase diagram even if the spin gap opens at half-filling. The phase boundary coincides with the $K_{\rho}=1$ line where the Tomonaga-Luttinger liquid behaves as free electrons, in the low-density region. The relation between our method and the solution of the two-electron problem is also discussed.

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