With both random transverse and longitudinal fields present, RG trajectories flow to disordered fixed points and the correlation-length exponent at the infinite-disorder fixed point along the separatrix is approximately 1.
Binder, Random-field induced interface widths in Ising systems, Zeitschrift f¨ ur Physik B Condensed Matter50, 343 (1983)
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Random transverse and longitudinal field Ising chains
With both random transverse and longitudinal fields present, RG trajectories flow to disordered fixed points and the correlation-length exponent at the infinite-disorder fixed point along the separatrix is approximately 1.