J. Phys. Soc. Jpn. 56, pp. 1132-1137 (1987) [6 Pages]
FULL PAPERS
Numerical Analysis of Spin-1/2 Alternating Heisenberg-XY Antiferromagnet in One Dimension
- Full text:
- PDF (eReader) / PDF (Download) (718 kB)
Received September 10, 1986
The spin-1/2 alternating Heisenberg model with X Y -like anisotropy is studied by numerical methods. This model exhibits critical behavior in the ground state as the bond-alternation parameter δ approaches 0. The critical exponents characterizing this ground-state critical point are estimated. The results agree well with those of the analytical calculation of Nakano and Fukuyama. A logarithmic correction of the type predicted by Black and Emery is found to be consistent with numerical data in the isotropic Heisenberg model but not in anisotropic models.
©1987 The Physical Society of Japan
References
- 1 J. W.Bray, L. V.Interrante, I. S.Jacobs and J. C.Bonner: Extended Linear Chain Compounds, ed. J. S. Miller (Plenum Press, New York, 1983) Vol. 3, p. 353. Crossref, Google Scholar
- 2 M.Cross and D. S.Fisher: Phys. Rev. B19 (1979) 402. Crossref, Google Scholar
- 3 T.Nakano and H.Fukuyama: J. Phys. Soc. Jpn. 49 (1980) 1679. Link, Google Scholar
- 4 K.Okamoto: J. Phys. Soc. Jpn. 56 (1987) 912. Link, Google Scholar
- 5 J. L.Black and V. J.Emery: Phys. Rev. B23 (1981) 429. Crossref, Google Scholar
- 6 K.Okamoto, H.Nishimori and Y.Taguchi: J. Phys. Soc. Jpn. 55 (1986) 1458, and references therein. Link, Google Scholar
- 7 P.Pincus: Solid State Commun. 9 (1971) 1971. Crossref, Google Scholar
- 8 T.Nakano and H.Fukuyama: J. Phys. Soc. Jpn. 50 (1981) 2489. Link, Google Scholar
- 9 S.Inagaki and H.Fukuyama: J. Phys. Soc. Jpn. 52 (1983) 2504. Link, Google Scholar
- 10 H.Nishimori and Y.Taguchi: Prog. Theor. Phys. Suppl. No. 87 (1986) 247. Crossref, Google Scholar
- 11 A.Luther and I.Peschel: Phys. Rev. B12 (1975) 3908. Crossref, Google Scholar
- 12 M. N.Barber: Phase Transitions and Critical Phenomena, ed. C. Domb and J. L. Lebowitz (Academic Press, London, 1983) Vol. 8, p. 145. Google Scholar
- 13 G.Spronken, B.Fourcade and Y.Lepiné: Phys. Rev. B33 (1986) 1886. Crossref, Google Scholar
- 14 Z. G.Soos, S.Kuwajima and J. E.Mihalik: Phys. Rev. B32 (1985) 3124. Crossref, Google Scholar