Three-Leg Antiferromagnetic Heisenberg Ladder with Frustrated Boundary Condition; Ground State Properties.

DOI DOI Web Site Web Site BIBCODE 被引用文献27件 参考文献45件 オープンアクセス
  • Kawano Kenro
    Institute for Solid State Physics, University of Tokyo, Roppongi, Minato–ku, Tokyo 106
  • Takahashi Minoru
    Institute for Solid State Physics, University of Tokyo, Roppongi, Minato–ku, Tokyo 106

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  • Three-Leg Antiferromagnetic Heisenberg

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説明

The antiferromagnetic Heisenberg spin systems on the three-leg ladder are investigated. Periodic boundary condition is imposed in the rung direction. The system has an excitation gap for allantiferromagnetic inter-chain coupling (J⊥>0). The estimated gap for the strong coupling limit (J⊥/J1 → ∞) is 0.28J1. Although the interaction is homogeneous and only nearest-neighbor, the ground states of the system are dimerized and break the translationalsymmetry in the thermodynamic limit.Introducing the next-nearest neighbor coupling (J2), we can see that the system is solved exactly. The ground state wave function is completelydimer-ordered.Using density matrix renomalization group algorithm, we show numericallythat the original model (J2=0) has the same nature with the exactlysolvable model. The ground state properties of the ladder with a higher odd number of legs are also discussed.

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