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Exact solution of a large class of interacting quantum systems exhibiting ground state singularities

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Abstract

We demonstrate how to construct a large class of interacting quantum systems for which an exact solution may be found for the ground state wave function and ground state energy for some range of interaction parameters. It is shown that the ground state exhibits singularities in these cases, and in some simple instances the exact ground state phase diagram and critical indices are also found.

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References

  1. C. K. Majumdar, Exact solution of an antiferromagnet,J. Phys. C 3:911–914 (1970).

    Google Scholar 

  2. C. N. Yang and C. P. Yang, One-dimensional chain of anisotropic spin-spin interactions. III. Application.Phys. Rev. 151:258–264 (1966).

    Google Scholar 

  3. B. S. Shastry and B. Sutherland, Exact ground state of a quantum mechanical ferromagnet,Physica 108B:1069–1070 (1981).

    Google Scholar 

  4. B. S. Shastry and B. Sutherland, Excitation spectrum of a dimerized next-neighbor antiferromagnetic chain,Phys. Rev. Lett. 47:964–967 (1981).

    Google Scholar 

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Sutherland, B., Shastry, B.S. Exact solution of a large class of interacting quantum systems exhibiting ground state singularities. J Stat Phys 33, 477–484 (1983). https://doi.org/10.1007/BF01009806

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