I am working on a material which is a frustrated-canted antiferromagnetic system where, upon finding the critical exponent, it does not match with the existing models (mean-field, tri-critical, 2D ising, 3D ising, 3D Heisenberg, 3D XY). From normalized slop, the minima were obtained by 3D ising, and then by convergence, I got different critical components. I have confirmed it with all the other methods (experimental and theory). Still, when comparing with the renormalization approach, I got n = 3 and d = 1, it is likely to be 1D Heisenberg because for 3D Heisenberg, n = 3 and d = 3. Is it possible for a material like this to possess both properties and how can I conclude the behavior of the material?
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