Ground state structure of random magnets

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 58, Issue 4, 1998, Pages 4261-4265

  Bastea, S ^a   Duxbury, P M ^a  

^a MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000181972     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.4261     Document Type: Article

References (26)

1. For a review see, for example, Spin Glasses and Random Fields, edited by A. P. Young (World Scientific, Singapore, 1997).
2. K. Binder and D. W. Heermann, Monte Carlo Simulation in Statistical Physics (Springer-Verlag, Berlin, 1992).
3. T. Nattermann and J. Villain, Phase Transit. 11, 5 (1988)
4. T. Nattermann, in Spin Glasses and Random Fields (Ref. 1).
5. J. C. Anglès d’Auriac, M. Preissmann, and R. Ramal, J. Phys. (France) Lett. 46, L173 (1985).JPSLBO
6. A. T. Ogielski, Phys. Rev. Lett. 57, 1251 (1986).PRLTAO
7. J.C. Anglès d’Auriac and N. Sourlas, Europhys. Lett. 39, 473 (1997).EULEEJ
8. J. Esser, U. Nowak, and K. D. Usadel, Phys. Rev. B 55, 5866 (1997).PRBMDO
9. A. Hartmann and K. D. Usadel, Physica A 214, 141 (1995).PHYADX
10. A. Hartmann, Physica A 248, 1 (1998).PHYADX
11. M. R. Swift, A. Maritan, M. Cieplak, and J. Banavar, J. Phys. A 27, 1525 (1994).JPHAC5
12. S. Fishman and A. Aharony, J. Phys. C 12, L729 (1979)
13. J. L. Cardy, Phys. Rev. B 29, 505 (1984).PRBMDO
14. D. P. Belanger, in Spin Glasses and Random Fields (Ref. 1).
15. B. Derrida, J. Vannimenus, and Y. Pomeau, J. Phys. C 11, 4749 (1978).JPSOAW
16. R. Bruinsma, Phys. Rev. B 30, 289 (1984).PRBMDO
17. I. Morgenstern, K. Binder, and R.M. Hornreich, Phys. Rev. B 23, 287 (1981).PRBMDO
18. J. H. van Lint and R. M. Wilson, A Course in Combinatorics (Cambridge University Press, Cambridge, 1996), Chap. 7
19. A. V. Goldberg, E. Tardos and R. E. Tarjan, in Paths, Flows, and VLSI-Layout (Springer-Verlag, Berlin, 1990).
20. A. A. Middleton, Phys. Rev. E 52, R3337 (1995); PLEEE8
21. M. J. Alava and P. M. Duxbury, Phys. Rev. B 54, 14 990 (1996).PRBMDO
22. H. Rieger, Frustrated Systems: Ground State Properties via Combinatorial Optimization, edited by J. Kertesz and I. Kondon,Lecture Notes in Physics: Advances in Computer Simulation (Springer-Verlag, Berlin, 1998).
23. A. V. Goldberg and R. E. Tarjan, J. Assoc. Comput. Mach. 35, 920 (1988).JACOAH
24. S. Bastea, Phys. Rev. E (to be published).
25. These rationals are not the only ones; however, all the others are very strongly suppressed.
26. S. N. Coppersmith, Phys. Rev. Lett. 67, 2315 (1991).