Exactly solvable spin ladder model with degenerate ferromagnetic and singlet states

Details Exactly solvable spin ladder model with degenerate ferromagnetic and singlet states Exactly solvable spin ladder model with degenerate ferromagnetic and singlet states

1999-11-24

arxiv.org/abs/cond-mat/9911394v1

Eur.Phys.J. B14, 91 (2000)

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 6 figures, revtex. accepted to The European Physical Journal B

Scientific paper

10.1007/s100510050110

We study the spin ladder model with interactions between spins on neighboring rungs. The model Hamiltonian with the exact singlet ground state degenerated with ferromagnetic state is obtained. The singlet ground state wave function has a special recurrent form and depends on two parameters. Spin correlations in the singlet ground state show double-spiral structure with period of spirals equals to the system size. For special values of parameters they have exponential decay. The spectrum of the model is gapless and there are asymptotically degenerated excited states for special values of parameters in the thermodynamic limit.

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