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The localization is one of the active and fundamental research in topologyphysics. Based on a generalized Su-Schrieffer-Heeger model with thequasiperiodic non-Hermitian emerging at the off-diagonal location, we propose anovel systematic method to analyze the localization behaviors for the bulk andthe edge, respectively. For the bulk, it can be found that it undergoes anextended-coexisting-localized-coexisting-localized transition induced by thequasidisorder and nonHermiticity. While for the edge state, it can be brokenand recovered with the increase of the quasidisorder strength, and itslocalized transition is synchronous exactly with the topological phasetransition. In addition, the inverse participation ratio of the edge stateoscillates with an increase of the disorder strength. Finally, numericalresults elucidate that the derivative of the normalized participation ratioexhibits an enormous discontinuity at the localized transition point. Here, ourresults not only demonstrate the diversity of localization properties of bulkand edge state, but also may provide an extension of the ordinary method forinvestigating the localization.

Reentrant Localized Bulk and Localized-Extended Edge in Quasiperiodic Non-Hermitian Systems