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A longstanding open question in the theory of disordered systems is whether short-range models, such as the random field Ising model or the Edwards-Anderson model, can indeed have the famous properties that characterize mean-field spin glasses at nonzero temperature.
Theory of spin glasses
S. F. Edwards and P. W. Anderson · 1975
Earlier work this paper cites.
Random-field instability of the ordered state of continuous symmetry
Y. Imry and S.-k. Ma · 1975
Earlier work this paper cites.
Solvable model of a spin-glass
D. Sherrington and S. Kirkpatrick · 1975
Earlier work this paper cites.
Lower critical dimension of the random-field Ising model
J. Z. Imbrie · 1984
Earlier work this paper cites.
The ground state of the three-dimensional random-field Ising model
J. Z. Imbrie · 1985
Earlier work this paper cites.
Ordered phase of short-range Ising spin-glasses
D. S. Fisher and D. A. Huse · 1986
Earlier work this paper cites.
Chaotic nature of the spin-glass phase
A. J. Bray and M. A. Moore · 1987
Earlier work this paper cites.
Lower critical dimension for the random-field Ising model
J. Bricmont and A. Kupiainen · 1987
Earlier work this paper cites.
Spin glass theory and beyond: An Introduction to the Replica Method and Its Applications , volume 9
M. Mézard, G. Parisi, and M. A. Virasoro · 1987
Earlier work this paper cites.
Phase transition in the 3d random field Ising model
J. Bricmont and A. Kupiainen · 1988
Earlier work this paper cites.
Rounding of first-order phase transitions in systems with quenched disorder
M. Aizenman and J. Wehr · 1989
Earlier work this paper cites.
Density and uniqueness in percolation
R. M. Burton and M. Keane · 1989
Earlier work this paper cites.
Rounding effects of quenched randomness on first-order phase transitions
M. Aizenman and J. Wehr · 1990
Earlier work this paper cites.
The stochastic random-cluster process and the uniqueness of random-cluster measures
G. Grimmett · 1995
Earlier work this paper cites.
Recent rigorous results support the predictions of spontaneously broken replica symmetry for realistic spin glasses
G. Parisi · 1996
Earlier work this paper cites.
Surface order large deviations for Ising, Potts and percolation models
A. Pisztora · 1996
Earlier work this paper cites.
Domination by product measures
T. M. Liggett, R. H. Schonmann, and A. M. Stacey · 1997
Earlier work this paper cites.
On the stability of the quenched state in mean-field spin-glass models
M. Aizenman and P. Contucci · 1998
Earlier work this paper cites.
General properties of overlap probability distributions in disordered spin systems. Towards Parisi ultrametricity
S. Ghirlanda and F. Guerra · 1998
Cited alongside, same era.
The concentration of measure phenomenon
M. Ledoux · 2001
Cited alongside, same era.
Slab percolation for the Ising model
T. Bodineau · 2005
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Probabilistic Symmetries and Invariance Principles
O. Kallenberg · 2005
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Translation invariant Gibbs states for the Ising model
T. Bodineau · 2006
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The Random Cluster Model
G. Grimmett · 2006
Cited alongside, same era.
Mean field theory of spin glasses: Statics and dynamics
The geometry of the Gibbs measure of pure spherical spin glasses
E. Subag · 2017
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A note on exponential decay in the random field Ising model
F. Camia, J. Jiang, and C. M. Newman · 2018
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On the decay of correlations in the random field Ising model
S. Chatterjee · 2018
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Free energy landscapes in spherical spin glasses
E. Subag · 2018
Later among the works it cites.
A power-law upper bound on the correlations in the 2D random field Ising model
M. Aizenman and R. Peled · 2019
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Exponential decay of correlations in the 2D random field Ising model
M. Aizenman, M. Harel, and R. Peled · 2020
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G. Parisi · 2007
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On the structure of quasi-stationary competing particle systems
L.-P. Arguin and M. Aizenman · 2009
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Elusive spin-glass phase in the random field Ising model
F. Krzakala, F. Ricci-Tersenghi, and L. Zdeborová · 2010
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A connection between the Ghirlanda–Guerra identities and ultrametricity
D. Panchenko · 2010
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H. Duminil-Copin, C. Hongler, and P. Nolin · 2011
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H.-O. Georgii · 2011
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Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature
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Translation-invariant Gibbs states of the Ising model: General setting
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Quantitative disorder effects in low-dimensional spin systems
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Exponential decay of correlations in the two-dimensional random field Ising model
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Long range order for random field Ising and Potts models
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Upper and lower bounds for the correlation length of the two-dimensional random-field Ising model
Y. Bar-Nir · 2022
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The two-dimensional continuum random field Ising model
A. Bowditch and R. Sun · 2022
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Spin glass phase at zero temperature in the Edwards–Anderson model
S. Chatterjee · 2023
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