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We study random field Ising model on $\mathbb Z^2$ where the external field is given by i.i.d.\ Gaussian variables with mean zero and positive variance.
Random-field instability of the ordered state of continuous symmetry
Y. Imry and S.-K. Ma · 1975
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Roughening and lower critical dimension in the random-field ising model
G. Grinstein and S.-K. Ma · 1982
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Possible line of critical points for a random field ising model in dimension 2
Derrida, B. and Shnidman, Y · 1984
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Improved perturbation expansion for disordered systems: beating Griffiths singularities
J. Fröhlich and J. Z. Imbrie · 1984
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Some properties of random Ising models
A. Berretti · 1985
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The ground state of the three-dimensional random-field Ising model
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The hierarchical random field Ising model
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Phase transition in the
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Rounding effects of quenched randomness on first-order phase transitions
M. Aizenman and J. Wehr · 1990
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Hölder regularity and dimension bounds for random curves
M. Aizenman and A. Burchard · 1999
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A power-law upper bound on the correlations in the 2d random field ising model
M. Aizenman and R. Peled · 2018
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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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Superlinearity of geodesic length in 2d critical first-passage percolation
M. Damron and P. Tang · 2018
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