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

Abstract

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 $J,J^{\prime }\to 0$ 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.

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

References in corpus (2)

• Renormalization group analysis of the spin-gap phase in the one-dimensional t-J model
• Phase separation as an instability of the Tomonaga-Luttinger liquid

Cited by in corpus (12)

• Tricritical Behavior in the Extended Hubbard Chains
• Critical level crossings and gapless spin liquid in the square-lattice spin-$1/2$ $J_1$-$J_2$ Heisenberg antiferromagnet
• Mechanism of CDW-SDW Transition in One Dimension
• Triplet superconductivity in quasi one-dimensional systems
• Berry phases in superconducting transitions
• Spin-Gap Phases in Tomonaga-Luttinger Liquids
• Phase diagram of the $t-t^{\prime }-U$ chain at half filling
• Enhancement of Pairing Correlation and Spin Gap through Suppression of Single-Particle Dispersion in One-Dimensional Models
• Role of Bond-Bond Interaction in the Extended Hubbard Chain
• Flux period, spin gap, and pairing in the one-dimensional t-J-J'-model
• Ground-state phase diagram of the one-dimensional dimerized t-J model at quarter filling
• Lightly doped dimerized spin chain in the one-dimensional t-J-J' model