In the 4-ε expansion of the Ising model with surface random field, the ordinary boundary condition is stable while a new non-trivial dirty boundary fixed point emerges that is reachable by tuning disorder or temperature.
The defect couplingh 1, h2 in the replica action have the superscript (0), i.e.,h (0) 1 andh (0) 2 , which we have not written explicitly before
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Ising surface defects can get dirty
In the 4-ε expansion of the Ising model with surface random field, the ordinary boundary condition is stable while a new non-trivial dirty boundary fixed point emerges that is reachable by tuning disorder or temperature.