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Crossover Between the Haldane Gap Phase and the Dimer Phase in the Spin 1/2 Alternating Heisenberg Chain

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Part of the book series: Springer Proceedings in Physics ((SPPHY,volume 70))

Abstract

The ground state of the alternating spin 1/2 Heisenberg chain with couplings J(> 0) and J′ is studied. This model interpolates the S=1 and S=1/2 antiferromagnetic Heisenberg chains continuously. The behavior of the string order and energy gap indicates that the ground state over the whole range −∞ ≤ J′< J can be regarded as a single phase. The physical picture of the ground state and the first excited state is also discussed.

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References

  1. F.D.M. Haldane: Phys. Lett. 93A 464 (1983); Phys. Rev. Lett. 50 1153 (1983).

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  2. M. den Nijs and K. Rommelse: Phys. Rev. B40 4709 (1989).

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  3. H. Tasaki: Phys. Rev. Lett. 66 798 (1991).

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  4. K. Hida: submitted to Phys. Rev (1991).

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© 1992 Springer-Verlag Berlin Heidelberg

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Hida, K. (1992). Crossover Between the Haldane Gap Phase and the Dimer Phase in the Spin 1/2 Alternating Heisenberg Chain. In: Miyashita, S., Imada, M., Takayama, H. (eds) Computational Approaches in Condensed-Matter Physics. Springer Proceedings in Physics, vol 70. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84821-6_30

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  • DOI: https://doi.org/10.1007/978-3-642-84821-6_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84823-0

  • Online ISBN: 978-3-642-84821-6

  • eBook Packages: Springer Book Archive

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