The scaling model of spin-glass phenomena is extended to consider both longitudinal and transverse order parameters q1 and qt. The lowest-order coupling in the free energy goes as ql2qt2. The field (h) dependence of the reduced temperature t for transverse freezing is found to be t∼h4/δ where δ is the conventional nonlinear susceptibility field exponent (χ∼h2/δ). While the transverse correlation length diverges at t=0, the longitudinal correlation length remains finite.
Barnes, S. E.; Malozemoff, A. P.; and Barbara, B., "Scaling Approach to Spin-Glass Phenomena" (1984). Physics Articles and Papers. 62.