Field theoretical study of disorder in non-Hermitian topological models

Non-Hermitian systems have provided a rich platform to study unconventional\ntopological phases.These phases are usually robust against external\nperturbations that respect certain symmetries of thesystem. In this work, we\nprovide a new method to analytically study the effect of disorder, usingtools\nfrom quantum field theory applied to discrete models around phase-transition\npoints. Weinvestigate two different one-dimensional models, the paradigmatic\nnon-Hermitian SSH model andas-wave superconductor with imbalanced pairing.\nThese analytic results are compared to numericalsimulations in the discrete\nmodels. An universal behavior is found for the two investigated models,namely\nthat the systems are driven from a topological to a trivial phase for disorder\nstrengths equalto about four times the energy scale of the model.\n