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.
Igl´ oi, Correlations in random Ising chains at zero tem- perature, Journal of Physics A: Mathematical and Gen- eral 27, 2995 (1994)
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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.