Are there incongruent ground states in 2D Edwards-Anderson spin glasses?

Communications in Mathematical Physics

Volumn 224, Issue 1, 2001, Pages 205-218

  Newman, C M ^a   Stein, D L ^b  

^a NEW YORK UNIVERSITY   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035539931     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005586     Document Type: Article

References (14)

1. 1. Newman, C.M. and Stein, D.L.: Nature of ground state incongruence in two-dimensional spin glasses. Phys. Rev. Lett. 84, 3966-3969 (2000)
2. 2. Edwards, S. and Anderson, P.W.: Theory of spin glasses. J. Phys. F 5, 965-974 (1975)
3. 3. Newman, C.M. and Stein, D.L.: Metastate approach to thermodynamic chaos. Phys. Rev. E 55, 5194-5211 (1997)
4. 4. Newman, C.M. and Stein, D.L.: Simplicity of state and overlap structure in finite volume realistic spin glasses. Phys. Rev. E 57, 1356-1366 (1998)
5. 5. Newman, C.M. and Stein, D.L.: Spatial inhomogeneity and thermodynamic chaos. Phys. Rev. Lett. 76, 4821-4824 (1996)
6. 6. Newman, C.M. and Stein, D.L.: Thermodynamic chaos and the structure of short-range spin glasses. In: Mathematics of Spin Glasses and Neural Networks, edited by A. Bovier and P. Picco. Boston: Birkhäuser, 1997, pp. 243-287
7. 7. Middleton, A.A.: Numerical investigation of the thermodynamic limit for ground states in models with quenched disorder. Phys. Rev. Lett. 83, 1672-1675 (1999)
8. 8. Palassini, M. and Young, A.P.: Evidence for a trivial ground-state structure in the two-dimensional Ising spin glass. Phys. Rev. B 60, R9919-R9922 (1999)
9. 9. Krzakala, F. and Martin, O.C.: Spin and link overlaps in 3-dimensional spin glasses. Phys. Rev. Lett. 85, 3013-3016 (2000)
10. 10. Palassini, M. and Young, A.P.: Nature of the spin glass state. Phys. Rev. Lett. 85, 3017-3020 (2000)
11. 11. Burton, R.M. and Keane, M.: Topological and metric properties of infinite clusters in stationary two-dimensional site percolation. Isr. J. Math. 76, 299-316 (1991)
12. 12. Newman, C.M. and Stein, D.L.: Multiple states and thermodynamic limits in short-ranged Ising spin glass models. Phys. Rev. B 46, 973-982 (1992)
13. 13. Aizenman, M. and Wehr, J.: Rounding effects of quenched randomness on first-order phase transitions. Commun. Math. Phys. 130, 489-528 (1990)
14. 14. Burton, R.M. and Keane, M.: Density and uniqueness in percolation. Commun. Math. Phys. 121, 501-505 (1989)