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While recent study shows that such a dynamics leads to an area-law scaling of the entanglement entropy due to the non-Hermitian skin effects, it remains unclear how disorder changes the behavior of the entanglement entropy in a non-Hermitian system with skin effects. Here we study the dynamics of a many-body state of free fermions in the paradigmatic Hatano-Nelson model with open boundaries, and find that the area-law behavior of the entanglement entropy in the pristine Hatano-Nelson model develops into a logarithmic scaling for small disorder strength. As we further increase the disorder strength, the system reenters an area-law regime through an entanglement phase transition. At the critical point, the entanglement entropy exhibits a universal algebraic scaling. We further demonstrate the absence of a conformal invariance in the log-law regime by examining the subsystem entanglement entropy, the connected correlation function and the mutual information. Finally, we show the existence of disorder induced entanglement phase transitions in the Hatano-Nelson model with periodic boundaries.<\/jats:p>","DOI":"10.22331\/q-2026-08-07-2186","type":"journal-article","created":{"date-parts":[[2026,8,7]],"date-time":"2026-08-07T14:14:41Z","timestamp":1786112081000},"page":"2186","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["Disorder-Induced Entanglement Phase Transitions in Non-Hermitian Systems with Skin Effects"],"prefix":"10.22331","volume":"10","author":[{"given":"Kai","family":"Li","sequence":"first","affiliation":[{"name":"Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People&apos;s Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ze-Chuan","family":"Liu","sequence":"additional","affiliation":[{"name":"Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People&apos;s Republic of China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yong","family":"Xu","sequence":"additional","affiliation":[{"name":"Center for Quantum Information, IIIS, Tsinghua University, Beijing 100084, People&apos;s Republic of China"},{"name":"Hefei National Laboratory, Hefei 230088, PR China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"9598","published-online":{"date-parts":[[2026,8,7]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"R. 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