Spin twists, domain walls, and the cluster spin-glass phase of weakly doped cuprates

European Physical Journal B

Volumn 16, Issue 4, 2000, Pages 579-591

  Beach, K S D ^a,b   Gooding, R J ^a  

^a QUEEN S UNIVERSITY   (Canada)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

74.72. h high Tc compounds; 75.50.Lk spin glasses and other random magnets

Indexed keywords

EID: 0001726746     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00011062     Document Type: Article

References (30)

1. For a recent, comprehensive review, see J. Tranquada, in Neutron Scattering in Layered Copper-Oxide Superconductors, edited by A. Furrer (Kluwer, Dordrecht, The Netherlands, 1998), p. 225; also, see references therein.
2. V.J. Emery, S.A. Kivelson, Phys. Rev. Lett. 64, 475 (1990).
3. For a recent discussion of this issue, see S.R. White, D.J. Scalapino, Phys. Rev. B 61, 6320 (2000).
4. V.J. Emery, S.A. Kivelson, Physica C 209, 597 (1993).
5. F. Borsa, P. Carreta, J.H. Cho, F.C. Chou, Q. Hu, D.C. Johnston, A. Lascialfari, D.R. Torgeson, R.J. Gooding, N.M. Salem, K.J.E. Vos, Phys. Rev. B 52, 7334 (1995).
6. K. Yamada, ICTP, Trieste, July 12-23, 1999, and private communication.
7. E. Lai, R.J. Gooding, Phys. Rev. B 57, 1498 (1998).
8. J.H. Cho, F. Borsa, D.C. Johnston, D.R. Torgeson, Phys. Rev. B 46, 3179 (1992).
9. R.J. Gooding, N.M. Salem, R.J. Birgeneau, F.C. Chou, Phys. Rev. B 55, 6360 (1997).
10. Of course, one way around this disagreement is that there could be more than one way to produce a cluster spin-glass phase.
11. M.-H. Julien et al. Phys. Rev. Lett. 83, 604 (1999).
12. J. Villain, J. Phys. C 10, 1717 (1977); ibid, 4793 (1977).
13. J. Villain, J. Phys. C 10, 1717 (1977); ibid, 4793 (1977).
14. B.I. Shraiman, E.D. Siggia, Phys. Rev. Lett. 61, 467 (1988).
15. N.M. Salem, R.J. Gooding, Europhys. Lett. 35, 603 (1996).
16. B. Stojkovic et al., Phys. Rev. Lett. 82, 4679 (1999); ibid, cond-mat/9911380.
17. B. Stojkovic et al., Phys. Rev. Lett. 82, 4679 (1999); ibid, cond-mat/9911380.
18. Also, see A.L. Chernyshev et al., Phys. Rev. Lett. 84, 4922 (2000).
19. A. Aharony et al., Phys. Rev. Lett. 60, 1330 (1988).
20. R.J. Gooding, Phys. Rev. Lett. 66, 2266 (1991); R.J. Gooding, A. Mailhot, Phys. Rev. B 48, 6132 (1993).
21. R.J. Gooding, Phys. Rev. Lett. 66, 2266 (1991); R.J. Gooding, A. Mailhot, Phys. Rev. B 48, 6132 (1993).
22. Note that x/2 is the probability of a bond having an oxygen hole present, thus implying that x is the probability of any plaquette having one hole present, as per usual.
23. Ch. Niedermayer et al., Phys. Rev. Lett. 80, 3843 (1998).
24. J. Vannimenus, S. Kirkpatrick, F.D.M. Haldane, C. Jayaprakash, Phys. Rev. B 39, 4634 (1989).
25. m which are small perturbations to the exact solution.
26. i. In fact, we find that ground state solutions are odd in reflection across the y-axis and even in reflection across the x-axis; this information will be employed in the text.
27. A.S. Kovalev, M.M. Bogdan, Sov. Solid State Phys. 35, 886 (1993).
28. C. Goldenberg, A. Aharony, Phys. Rev. B 56, 661 (1997).
29. P. Gawiec, D.R. Grempel, Phys. Rev. B 44, 2613 (1991).
30. D.M. Frenkel, R.J. Gooding, B.I. Shraiman, E.D. Siggia, Phys. Rev. B 41, 350 (1990).