Abstract
The Ising model with external magnetic field on infinitely ramified fractal lattices is studied. We derive exact expressions for the specific heat, spontaneous magnetization, and susceptibility. The critical exponents \ensuremath{\alpha}, \ensuremath{\beta}, and \ensuremath{\gamma} corresponding to these respective thermal functions (at zero field) as well as the correlation length critical exponent \ensuremath{\nu} are obtained. The hyperscaling law extended to fractals and the Rushbrooke scaling law are verified for these fractals.
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