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We study chiral symmetry breaking for relativistic fermions, described by aparity violating Lagrangian in 2+1-dimensions, in the presence of a heat bathand a uniform external magnetic field. Working within their four-componentformalism allows for the inclusion of both parity-even and -odd mass terms.Therefore, we can define two types of fermion anti-fermion condensates. For agiven value of the magnetic field, there exist two different criticaltemperatures which would render one of these condensates identically zero,while the other would survive. Our analysis is completely general: it requiresno particular simplifying hierarchy among the energy scales involved, namely,bare masses, field strength and temperature. However, we do reproduce someearlier results, obtained or anticipated in literature, corresponding tospecial kinematical regimes for the parity conserving case. Relating the chiralcondensate to the one-loop effective Lagrangian, we also obtain themagnetization and the pair production rate for different fermion species in auniform electric field through the replacement $B\to-iE$.

Chiral and Parity Symmetry Breaking for Planar Fermions: Effects of a Heat Bath and Uniform External Magnetic Field