TY - JOUR
T1 - Exponential Decay of Correlations in the 2D Random Field Ising Model
AU - Aizenman, Michael
AU - Harel, Matan
AU - Peled, Ron
N1 - Publisher Copyright:
© 2019, The Author(s).
PY - 2020/9/1
Y1 - 2020/9/1
N2 - An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model’s order parameter in terms of disagreement percolation. This facilitates an extension of the recent analyses of the decay of correlations to positive temperatures, at homogeneous but arbitrarily weak disorder.
AB - An extension of the Ising spin configurations to continuous functions is used for an exact representation of the random field Ising model’s order parameter in terms of disagreement percolation. This facilitates an extension of the recent analyses of the decay of correlations to positive temperatures, at homogeneous but arbitrarily weak disorder.
KW - 2D
KW - Anti-concentration bounds
KW - Disagreement percolation
KW - Exponential decay
KW - Quenched disorder
KW - Random field Ising model
UR - http://www.scopus.com/inward/record.url?scp=85075206248&partnerID=8YFLogxK
U2 - 10.1007/s10955-019-02401-5
DO - 10.1007/s10955-019-02401-5
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AN - SCOPUS:85075206248
SN - 0022-4715
VL - 180
SP - 304
EP - 331
JO - Journal of Statistical Physics
JF - Journal of Statistical Physics
IS - 1-6
ER -