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Conformal invariance and perturbations in the two-dimensional Ising model: Surface defects

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Abstract

The influence of homogeneous surface perturbations on the surface critical behavior of the two-dimensional Ising model is studied through finite-size scaling and conformal invariance. Quantum chains of up to 2000 spins are studied in the fermionic version of the model. The results are deduced from the numerical solution of an eigenvalue equation for the excitation spectrum and show that conformal invariance still works for irrelevant surface perturbations.

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References

  1. M. E. Fisher, inCritical Phenomena, M. S. Green, ed. (Academic Press, New York, 1971), p. 73.

    Google Scholar 

  2. M. N. Barber, inPhase Transitions and Critical Phenomena, Vol. 8, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York, 1983), p. 145.

    Google Scholar 

  3. K. Binder,Ferroelectrics 73:43 (1987).

    Google Scholar 

  4. V. Privman and M. E. Fisher,Phys. Rev. B 30:322 (1984).

    Google Scholar 

  5. J. L. Pichard and G. Sarma,J. Phys. C 14:L 617 (1981).

    Google Scholar 

  6. J. M. Luck,J. Phys. A 15:L 169 (1982).

    Google Scholar 

  7. N. P. Nightingale and H. Blöte,J. Phys. A 16:L 657 (1983).

    Google Scholar 

  8. K. Penson and M. Kolb,Phys. Rev. B 29:2854 (1984).

    Google Scholar 

  9. A. M. Polyakov,Sov. Phys. JETP Lett. 12:381 (1970).

    Google Scholar 

  10. F. Wegener, inPhase Transitions and Critical Phenomena, Vol. 6, C. Domb and M. S. Green, eds. (Academic Press, New York, 1976), p. 8.

    Google Scholar 

  11. M. E. Fisher,Collective Properties of Physical Systems, B. Lundqvist and S. Lundqvist, eds. (Academic Press, New York, 1974), p. 16.

    Google Scholar 

  12. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov,J. Stat. Phys. 34:763 (1984).

    Google Scholar 

  13. J. L. Cardy,Phase Transitions and Critical Phenomena, vol. 11, C. Domb and J. L. Lebowitz, eds. (Academic Press, London, 1987), p. 55.

    Google Scholar 

  14. J. L. Cardy,J. Phys. A 17:L 385 (1984).

    Google Scholar 

  15. L. Turban,J. Phys. A 18:L 325 (1985).

    Google Scholar 

  16. S. Dietrich and H. W. Diehl,Z. Physik B 43:315 (1981).

    Google Scholar 

  17. R. Z. Bariev,Sov. Phys. JETP 50:613 (1979).

    Google Scholar 

  18. B. McCoy and A. Perk,Phys. Rev. Lett. 44:840 (1980).

    Google Scholar 

  19. L. G. Guimarães and J. R. Drugowich de Felício,J. Phys. A 19:L 341 (1986).

    Google Scholar 

  20. M. Henkel and A. Patkós,J. Phys. A 20:2199 (1987).

    Google Scholar 

  21. M. Henkel and A. Patkós,Nucl. Phys. B 285:29 (1987).

    Google Scholar 

  22. M. Henkel and A. Patkós,J. Phys. A 21:L 231 (1988).

    Google Scholar 

  23. M. P. Nightingale and H. W. J. Blöte,J. Phys. A 15:L33 (1982).

    Google Scholar 

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

    Google Scholar 

  25. E. H. Lieb, T. D. Schultz, and D. C. Mattis,Ann. Phys. 16:407 (1961).

    Google Scholar 

  26. P. Pfeuty,Ann. Phys. 57:79 (1970).

    Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  29. T. D. Schultz, D. C. Mattis, and E. H. Lieb,Rev. Mod. Phys. 36:856 (1964).

    Google Scholar 

  30. I. Peshel,Phys. Rev. B 30:6783 (1984).

    Google Scholar 

  31. H. Schmidt,Phys. Rev. 105:425 (1957).

    Google Scholar 

  32. J. L. Cardy,Nucl. Phys. B 240:514 (1984).

    Google Scholar 

  33. G. von Gehlen, V. Rittenberg, and H. Ruegg,J. Phys. A 19:107 (1985).

    Google Scholar 

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Berche, B., Turban, L. Conformal invariance and perturbations in the two-dimensional Ising model: Surface defects. J Stat Phys 56, 589–607 (1989). https://doi.org/10.1007/BF01016768

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  • DOI: https://doi.org/10.1007/BF01016768

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