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The microcanonical transfer matrix is used to study the distribution of theFisher zeros of the $Q>2$ Potts models in the complex temperature plane withnonzero external magnetic field $H_q$. Unlike the Ising model for $H_q\ne0$which has only a non-physical critical point (the Fisher edge singularity), the$Q>2$ Potts models have physical critical points for $H_q<0$ as well as theFisher edge singularities for $H_q>0$. For $H_q<0$ the cross-over of the Fisherzeros of the $Q$-state Potts model into those of the ($Q-1$)-state Potts modelis discussed, and the critical line of the three-state Potts ferromagnet isdetermined. For $H_q>0$ we investigate the edge singularity for finite latticesand compare our results with high-field, low-temperature series expansion ofEnting. For $3\le Q\le6$ we find that the specific heat, magnetization,susceptibility, and the density of zeros diverge at the Fisher edge singularitywith exponents $\alpha_e$, $\beta_e$, and $\gamma_e$ which satisfy the scalinglaw $\alpha_e+2\beta_e+\gamma_e=2$.Comment: 24 pages, 7 figures, RevTeX, submitted to Physical Review

Fisher zeros of theQ-state Potts model in the complex temperature plane for nonzero external magnetic field