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Quantum ising model with staggered interaction

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Zeitschrift für Physik B Condensed Matter

Abstract

The spectrum of a quantum Ising model with staggered interaction is solved exactly for periodic, antiperiodic and free boundary conditions. The properties of the ground state and the excitation spectrum are investigated at the phase transition points, and the conformal theory and the finite size scaling hypothesis are tested along the critical line. The conformally invariant Hamiltonian is found to be independent of the staggering field in the finite size scaling limit.

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References

  1. Kogut, J.: Rev. Mod. Phys.51, 659 (1979)

    Google Scholar 

  2. Cardy, J.: Phase transitions and critical phenomena, Vol. 11. Domb, C., Lebowitz, J.L. (eds.). New York: Academic Press 1987

    Google Scholar 

  3. De Gennes, P.G.: Solid State Commun.1, 132 (1963)

    Google Scholar 

  4. Pfeuty, P.: Ann. Phys. (N.Y.)57, 79 (1970)

    Google Scholar 

  5. Burkhardt, T.W., Guim, I.: J. Phys. A18, L33 (1985)

    Google Scholar 

  6. Gehlen, G.v, Rittenberg, V., Ruegg, H.: J. Phys. A19, 107 (1986);

    Google Scholar 

  7. Gehlen, G.v., Rittenberg, V.: J. Phys. A19, L631 (1986)

    Google Scholar 

  8. Henkel, M.: J. Phys. A20, 995 (1987)

    Google Scholar 

  9. Cabrera, G.G., Jullien, R.: Phys. Rev. B35, 7062 (1987)

    Google Scholar 

  10. Henkel, M., Patkos, A.: J. Phys. A20, 2199 (1987)

    Google Scholar 

  11. Pfeuty, P., Jullien, R., Penson, K.A.: Real-space renormalization. Burkhardt, T.W., van Leeuwen, J.M.J. (eds.), Berlin, Heidelberg, New York: Springer 1982

    Google Scholar 

  12. Barber, M.N.: Phase transitions and critical phenomena, Vol. 8. Domb, C. and Lebowitz, J.L. (ed.). New York: Academic Press 1983

    Google Scholar 

  13. Hoever, P., Wolff, W.F., Zittartz, J.: Z. Phys. B-Condensed Matter41, 43 (1981); Z. Phys. B-Condensed Matter42, 259 (1981); Z. Phys. B-Condensed Matter44, 129 (1981)

    Google Scholar 

  14. Lieb, E., Schultz, T., Mattis, D.: Ann. Phys. (N.Y.)16, 407 (1961)

    Google Scholar 

  15. Privman, V., Fisher, M.E.: Phys. Rev. B30, 322 (1984)

    Google Scholar 

  16. Jordan, P., Wigner, E.: Z. Phys.47, 631 (1928)

    Google Scholar 

  17. Blöte, H.W.J., Cardy, J.L., Nightingale, M.P.: Phys. Rev. Lett.56, 742 (1986)

    Google Scholar 

  18. Affleck, I.: Phys. Rev. Lett.56, 746 (1986)

    Google Scholar 

  19. Hamer, C.J. and Barber, M.N.: J. Phys. A14, 241 (1981)

    Google Scholar 

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Work performed within the research program of the Sonderforschungsbereich 125

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Iglói, F., Zittartz, J. Quantum ising model with staggered interaction. Z. Physik B - Condensed Matter 70, 387–393 (1988). https://doi.org/10.1007/BF01317246

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  • DOI: https://doi.org/10.1007/BF01317246

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