Effect of Spin Gap on Single-Hole Excitation Spectrum in the One-Dimensional t-J-J'Model

Details Effect of Spin Gap on Single-Hole Excitation Spectrum in the One-Dimensional t-J-J'Model Effect of Spin Gap on Single-Hole Excitation Spectrum in the One-Dimensional t-J-J'Model

1998-01-21

arxiv.org/abs/cond-mat/9801207v1

Physics

Condensed Matter

Strongly Correlated Electrons

3 pages, 4 figures, LaTeX, Proceedings of the International Conference on Spectroscopy of Novel Superconductors. To be publish

Scientific paper

10.1016/S0022-3697(98)00126-7

We examine the effect of spin gap on single-hole spectral function in the one-dimensional t-J-J'model. At J'/J=1/2, where a dimer state is the ground state, an analytic expression is derived for J/t \to 0. At finite values of J/t, the numerical diagonalizations for finite-size clusters are performed. In contrast to the gapless case, we find that (i) the dispersion becomes symmetric around k=\pi/2, (ii) the singularity of the holon band is strongly suppressed, and (iii) the quasi-particle weight Z_{h} becomes finite at finite J/t. The feature (iii) is related to the presence of a bound state of the doped hole and an unpaired spin.

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