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C. Newman, D. Stein (1992)
Multiple states and thermodynamic limits in short-ranged Ising spin-glass models.Physical review. B, Condensed matter, 46 2
G. Parisi (1979)
Infinite Number of Order Parameters for Spin-GlassesPhysical Review Letters, 43
C. Newman, D. Stein (1995)
Non-mean-field behavior of realistic spin glasses.Physical review letters, 76 3
(2000)
Replica symmetry breaking in spin glasses: Theoretical foundations and numerical evidences
R. Burton, M. Keane (1991)
Topological and metric properties of infinite clusters in stationary two-dimensional site percolationIsrael Journal of Mathematics, 76
F. Krzakała, Olivier Martin (2000)
Spin and link overlaps in three-dimensional spin glasses.Physical review letters, 85 14
M. Palassini, A. Young (2000)
Nature of the spin glass state.Physical review letters, 85 14
C. Newman, D. Stein (2000)
Realistic spin glasses below eight dimensions: A highly disordered view.Physical review. E, Statistical, nonlinear, and soft matter physics, 63 1 Pt 2
D. Sherrington, S. Kirkpatrick (1975)
Solvable Model of a Spin-GlassPhysical Review Letters, 35
R. Burton, M. Keane (1989)
Density and uniqueness in percolationCommunications in Mathematical Physics, 121
C. Newman, D. Stein (1995)
Spatial inhomogeneity and thermodynamic chaos.Physical review letters, 76 25
C. Newman, D. Stein (2000)
Nature of ground state incongruence in two-dimensional spin glassesPhysical review letters, 84 17
C. Newman, D. Stein (1997)
SIMPLICITY OF STATE AND OVERLAP STRUCTURE IN FINITE-VOLUME REALISTIC SPIN GLASSESPhysical Review E, 57
A. Bray, M. Moore (1987)
Chaotic nature of the spin-glass phase.Physical review letters, 58 1
M. Palassini, A. Young (1999)
Evidence for a trivial ground-state structure in the two-dimensional Ising spin glassPhysical Review B, 60
M. Aizenman, J. Wehr (1990)
Rounding effects of quenched randomness on first-order phase transitionsCommunications in Mathematical Physics, 130
C. Newman, D. Stein (1994)
Spin-glass model with dimension-dependent ground state multiplicity.Physical review letters, 72 14
A. Middleton (1999)
Numerical investigation of the thermodynamic limit for ground states in models with quenched disorderPhysical Review Letters, 83
K. Adkins (1974)
Theory of spin glasses
C. Newman, D. Stein (1995)
Ground-state structure in a highly disordered spin-glass modelJournal of Statistical Physics, 82
A. Bray, M. Moore (1985)
Critical behavior of the three-dimensional Ising spin glass.Physical review. B, Condensed matter, 31 1
C. Newman, D. Stein (1998)
Thermodynamic Chaos and the Structure of Short-Range Spin Glasses
Daniel Fisher, D. Huse (1986)
Ordered phase of short-range Ising spin-glasses.Physical review letters, 56 15
W. Mcmillan (1984)
Scaling theory of Ising spin glassesJournal of Physics C: Solid State Physics, 17
C. Newman, D. Stein (1996)
Metastate approach to thermodynamic chaosPhysical Review E, 55
D. Fisher, D. Fisher, D. Huse (1988)
Equilibrium behavior of the spin-glass ordered phase.Physical review. B, Condensed matter, 38 1
We present a detailed proof of a previously announced result [1] supporting the absence of multiple (incongruent) ground state pairs for 2D Edwards–Anderson spin glasses (with zero external field and, e.g., Gaussian couplings): if two ground state pairs (chosen from metastates with, e.g., periodic boundary conditions) on ℤ2 are distinct, then the dual bonds where they differ form a single doubly-infinite, positive-density domain wall. It is an open problem to prove that such a situation cannot occur (or else to show – much less likely in our opinion – that it indeed does happen) in these models. Our proof involves an analysis of how (infinite-volume) ground states change as (finitely many) couplings vary, which leads us to a notion of zero-temperature excitation metastates, that may be of independent interest.
Communications in Mathematical Physics – Springer Journals
Published: Jan 25, 2014
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