Exactly solvable spin ladder model with degenerate ferromagnetic and singlet states |
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Authors: | DV Dmitriev VYa Krivnov AA Ovchinnikov |
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Institution: | Max-Planck-Institut für Physik Komplexer Systeme, N?thnitzer Strasse 38, 01187, Dresden, Germany Joint Institute of Chemical Physics of RAS, Kosygin str. 4, 117977, Moscow, Russia
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Abstract: | 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.
Received 7 May 1999 |
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Keywords: | PACS 75 10 Jm Quantized spin models |
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