Non-Hermitian fermions with effective mass

In this work, we readdress the Dirac equation in position-dependent mass (PDM) scenario. Here, one investigates quantum dynamics of non-Hermitian fermionic particles with effective assuming a $(1+1)$-dimension flat spacetime. seeking Schr\"{o}dinger-like theory PT symmetry is appropriate to assume complex potential. This imaginary interaction produces an potential purely dependent on distribution. Furthermore, study non-relativistic limit by adopting Foldy-Wouthuysen transformation. As result, that leads ordering equivalent describes abrupt heterojunctions. Posteriorly, particular cases distribution also were analyzed. Thus, interesting results arise for case linear PDM, which harmonic oscillator and induces emergence bound states. For hyperbolic barrier emerges. However, case, fermions behave as free positive-defined energy.