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.
Similar content being viewed by others
References
M. E. Fisher, inCritical Phenomena, M. S. Green, ed. (Academic Press, New York, 1971), p. 73.
M. N. Barber, inPhase Transitions and Critical Phenomena, Vol. 8, C. Domb and J. L. Lebowitz, eds. (Academic Press, New York, 1983), p. 145.
K. Binder,Ferroelectrics 73:43 (1987).
V. Privman and M. E. Fisher,Phys. Rev. B 30:322 (1984).
J. L. Pichard and G. Sarma,J. Phys. C 14:L 617 (1981).
J. M. Luck,J. Phys. A 15:L 169 (1982).
N. P. Nightingale and H. Blöte,J. Phys. A 16:L 657 (1983).
K. Penson and M. Kolb,Phys. Rev. B 29:2854 (1984).
A. M. Polyakov,Sov. Phys. JETP Lett. 12:381 (1970).
F. Wegener, inPhase Transitions and Critical Phenomena, Vol. 6, C. Domb and M. S. Green, eds. (Academic Press, New York, 1976), p. 8.
M. E. Fisher,Collective Properties of Physical Systems, B. Lundqvist and S. Lundqvist, eds. (Academic Press, New York, 1974), p. 16.
A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov,J. Stat. Phys. 34:763 (1984).
J. L. Cardy,Phase Transitions and Critical Phenomena, vol. 11, C. Domb and J. L. Lebowitz, eds. (Academic Press, London, 1987), p. 55.
J. L. Cardy,J. Phys. A 17:L 385 (1984).
L. Turban,J. Phys. A 18:L 325 (1985).
S. Dietrich and H. W. Diehl,Z. Physik B 43:315 (1981).
R. Z. Bariev,Sov. Phys. JETP 50:613 (1979).
B. McCoy and A. Perk,Phys. Rev. Lett. 44:840 (1980).
L. G. Guimarães and J. R. Drugowich de Felício,J. Phys. A 19:L 341 (1986).
M. Henkel and A. Patkós,J. Phys. A 20:2199 (1987).
M. Henkel and A. Patkós,Nucl. Phys. B 285:29 (1987).
M. Henkel and A. Patkós,J. Phys. A 21:L 231 (1988).
M. P. Nightingale and H. W. J. Blöte,J. Phys. A 15:L33 (1982).
H. W. J. Blöte, J. L. Cardy, and M. P. Nightingale,Phys. Rev. Lett. 56:742 (1986).
E. H. Lieb, T. D. Schultz, and D. C. Mattis,Ann. Phys. 16:407 (1961).
P. Pfeuty,Ann. Phys. 57:79 (1970).
J. B. Kogut,Rev. Mod. Phys. 51:659 (1979).
P. Jordan and E. Wigner,Z. Phys. 47:631 (1928).
T. D. Schultz, D. C. Mattis, and E. H. Lieb,Rev. Mod. Phys. 36:856 (1964).
I. Peshel,Phys. Rev. B 30:6783 (1984).
H. Schmidt,Phys. Rev. 105:425 (1957).
J. L. Cardy,Nucl. Phys. B 240:514 (1984).
G. von Gehlen, V. Rittenberg, and H. Ruegg,J. Phys. A 19:107 (1985).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
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
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01016768