Reduction of spin glasses applied to the Migdal-Kadanoff hierarchical lattice

European Physical Journal B

Volumn 33, Issue 4, 2003, Pages 439-445

  Boettcher, S ^a  

^a EMORY UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ENTROPY; GROUND STATE; REDUCTION; STIFFNESS;

HIERARCHICAL LATTICE; MIGDAL-KADANOFF APPROXIMATION;

GLASS;

EID: 2542451745     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjb/e2003-00184-5     Document Type: Article

References (18)

1. A.A. Migdal, J. Exp. Theo. Phys. 42, 743 (1976),
2. L.P. Kadanoff, Ann. Phys. 100, 359 (1976)
3. A.J. Bray, S. Feng, Phys. Rev. B 36, 8456 (1987)
4. M. Mezard, G. Parisi, M.A. Virasoro, Spin Glass Theory and Beyond (World Scientific, Singapore, 1987)
5. S. Boettcher, A.G. Percus, in preparation
6. S. Boettcher, Determining Stiffness Exponents from the Reduction of Dilute Lattice Spin Glasses, cond-mat/0303431
7. R. Monasson, R. Zecchina, S. Kirkpatrick, B. Selman, L. Troyansky, Nature 400, 133 (1999)
8. M. Leone, F. Ricci-Tersenghi, R. Zecchina, J. Phys. A 34, 4615 (2001)
9. A.J. Bray, M.A. Moore, J. Phys. C 17, L463 (1984)
10. See Frontiers in problem solving: Phase transitions and complexity, T. Hogg, B.A. Huberman, C. Williams, special issue of Artificial Intelligence 81, 1-2 (1996)
11. S. Boettcher, A.G. Percus, Phys. Rev. Lett. 86, 5211 (2001)
12. S. Kirkpatrick, Phys. Rev. B 15, 1533 (1977)
13. B.W. Southern, A.P. Young, J. Phys. C 10, 2179 (1977)
14. B. Drossel, M.A. Moore, Eur. Phys. J. B 21, 589 (2001)
15. J.-P. Bouchaud, F. Krzakala, O.C. Martin, Energy exponents and corrections to scaling in Ising spin glasses, cond-mat/0212070
16. K.H. Fischer, J.A. Hertz, Spin Glasses (Cambridge University Press, Cambridge, 1991)
17. G. Toulouse, Comm. Phys. 2, 115 (1977)
18. R. Monasson, R. Zecchina, Phys. Rev. Lett. 76, 3881 (1996)