{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,25]],"date-time":"2026-08-25T22:36:17Z","timestamp":1787697377269,"version":"build-2784847793"},"reference-count":74,"publisher":"AIP Publishing","issue":"2","funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12574023"],"award-info":[{"award-number":["12574023"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12374122"],"award-info":[{"award-number":["12374122"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["pubs.aip.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2026,1,14]]},"abstract":"<jats:p>We conduct a numerical study of wave localization in disordered three-dimensional non-Hermitian systems featuring exceptional points. The energy spectrum of a disordered non-Hermitian Hamiltonian, exhibiting both parity-time and parity-particle-hole symmetries, forms a cross in the complex energy plane, with an exceptional point fixed at the origin. Near the exceptional point, the system undergoes a disorder-driven quantum phase transition from extended to localized states, which is characterized as an Anderson localization transition in non-Hermitian systems. Notably, we identify a universal critical exponent that remains independent of the distribution of random variables. The model also supports Anderson localization transitions away from the exceptional points, albeit with different critical exponents. Furthermore, we investigate wave localization in a non-Hermitian system lacking parity-time symmetry, revealing distinct universality classes. By comparing the obtained critical exponents with those reported in the literature, we conclude that the presence of exceptional points introduces new universality classes that extend beyond the established 38-fold symmetry classification for non-Hermitian systems.<\/jats:p>","DOI":"10.1063\/5.0304357","type":"journal-article","created":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T12:24:38Z","timestamp":1767961478000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":1,"title":["Universality classes of Anderson localization transitions in disordered three-dimensional non-Hermitian systems with exceptional points"],"prefix":"10.1063","volume":"164","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1740-578X","authenticated-orcid":false,"given":"C.","family":"Wang","sequence":"first","affiliation":[{"name":"Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University 1 , Tianjin 300350,","place":["China"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8600-3258","authenticated-orcid":false,"given":"X. R.","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Science and Engineering, Chinese University of Hong Kong (Shenzhen) 2 , Shenzhen 518172,","place":["China"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2026,1,9]]},"reference":[{"key":"2026010907243416600_c1","doi-asserted-by":"publisher","first-page":"1039","DOI":"10.1023\/b:cjop.0000044002.05657.04","article-title":"Physics of nonhermitian degeneracies","volume":"54","year":"2004","journal-title":"Czech J. Phys."},{"key":"2026010907243416600_c2","doi-asserted-by":"publisher","first-page":"192","DOI":"10.1038\/nature23281","article-title":"Exceptional points enhance sensing in an optical microcavity","volume":"548","year":"2017","journal-title":"Nature"},{"key":"2026010907243416600_c3","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1038\/nature23280","article-title":"Enhanced sensitivity at higher-order exceptional points","volume":"548","year":"2017","journal-title":"Nature"},{"key":"2026010907243416600_c4","doi-asserted-by":"publisher","first-page":"243601","DOI":"10.1103\/physrevlett.132.243601","article-title":"Exceptional-point sensors offer no fundamental signal-to-noise ratio enhancement","volume":"132","year":"2024","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c5","doi-asserted-by":"publisher","first-page":"033284","DOI":"10.1103\/PhysRevResearch.6.033284","article-title":"Parametrically enhancing sensor sensitivity at an exceptional point","volume":"6","year":"2024","journal-title":"Phys. Rev. Res."},{"key":"2026010907243416600_c6","doi-asserted-by":"publisher","first-page":"eaar7709","DOI":"10.1126\/science.aar7709","article-title":"Exceptional points in optics and photonics","volume":"363","year":"2019","journal-title":"Science"},{"key":"2026010907243416600_c7","doi-asserted-by":"publisher","first-page":"093901","DOI":"10.1103\/physrevlett.121.093901","article-title":"Topological waveguiding near an exceptional point: Defect-immune, slow-light, and loss-immune propagation","volume":"121","year":"2018","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c8","doi-asserted-by":"publisher","first-page":"583","DOI":"10.1038\/s41565-022-01114-3","article-title":"Exceptional points in lossy media lead to deep polynomial wave penetration with spatially uniform power loss","volume":"17","year":"2022","journal-title":"Nat. Nanotechnol."},{"key":"2026010907243416600_c9","doi-asserted-by":"publisher","first-page":"80","DOI":"10.1038\/nature18604","article-title":"Topological energy transfer in an optomechanical system with exceptional points","volume":"537","year":"2016","journal-title":"Nature"},{"key":"2026010907243416600_c10","doi-asserted-by":"publisher","first-page":"153601","DOI":"10.1103\/physrevlett.134.153601","article-title":"Experimental observation of Dirac exceptional points","volume":"134","year":"2025","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c11","doi-asserted-by":"publisher","first-page":"134101","DOI":"10.1103\/physrevlett.103.134101","article-title":"Observation of an exceptional point in a chaotic optical microcavity","volume":"103","year":"2009","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c12","doi-asserted-by":"publisher","first-page":"1760","DOI":"10.1364\/oe.22.001760","article-title":"Demonstration of a large-scale optical exceptional point structure","volume":"22","year":"2014","journal-title":"Opt. Express"},{"key":"2026010907243416600_c13","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1038\/s41586-019-1777-z","article-title":"Observation of the exceptional-point-enhanced Sagnac effect","volume":"576","year":"2019","journal-title":"Nature"},{"key":"2026010907243416600_c14","doi-asserted-by":"publisher","first-page":"11110","DOI":"10.1038\/ncomms11110","article-title":"Accessing the exceptional points of parity-time symmetric acoustics","volume":"7","year":"2016","journal-title":"Nat. Commun."},{"key":"2026010907243416600_c15","doi-asserted-by":"publisher","first-page":"144303","DOI":"10.1103\/physrevb.95.144303","article-title":"Non-Hermitian acoustic metamaterials: Role of exceptional points in sound absorption","volume":"95","year":"2017","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c16","doi-asserted-by":"publisher","first-page":"124501","DOI":"10.1103\/physrevlett.121.124501","article-title":"Simultaneous observation of a topological edge state and exceptional point in an open and non-Hermitian acoustic system","volume":"121","year":"2018","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c17","doi-asserted-by":"publisher","first-page":"214302","DOI":"10.1103\/physrevlett.123.214302","article-title":"Extremely asymmetrical acoustic metasurface mirror at the exceptional point","volume":"123","year":"2019","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c18","doi-asserted-by":"publisher","first-page":"7813","DOI":"10.1088\/0305-4470\/37\/31\/012","article-title":"Observation of exceptional points in electronic circuits","volume":"37","year":"2004","journal-title":"J.\u00a0Phys. A: Math. Gen."},{"key":"2026010907243416600_c19","doi-asserted-by":"publisher","first-page":"213901","DOI":"10.1103\/physrevlett.123.213901","article-title":"Enhanced sensing and nondegraded thermal noise performance based on PT-symmetric electronic circuits with a sixth-order exceptional point","volume":"123","year":"2019","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c20","doi-asserted-by":"publisher","first-page":"022105","DOI":"10.1103\/physreva.94.022105","article-title":"Higher-order time-symmetry-breaking phase transition due to meeting of an exceptional point and a fano resonance","volume":"94","year":"2016","journal-title":"Phys. Rev. A"},{"key":"2026010907243416600_c21","doi-asserted-by":"publisher","first-page":"197201","DOI":"10.1103\/physrevlett.121.197201","article-title":"Antiferromagnetism emerging in a ferromagnet with gain","volume":"121","year":"2018","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c22","doi-asserted-by":"publisher","first-page":"033018","DOI":"10.1103\/physrevresearch.2.033018","article-title":"Critical fluctuations at a many-body exceptional point","volume":"2","year":"2020","journal-title":"Phys. Rev. Res."},{"key":"2026010907243416600_c23","doi-asserted-by":"publisher","first-page":"062418","DOI":"10.1103\/physreva.104.062418","article-title":"Quantum phase transition revealed by the exceptional point in a Hopfield-Bogoliubov matrix","volume":"104","year":"2021","journal-title":"Phys. Rev. A"},{"key":"2026010907243416600_c24","doi-asserted-by":"publisher","first-page":"024073","DOI":"10.1103\/physrevapplied.18.024073","article-title":"Exceptional-point phase transition in coupled magnonic waveguides","volume":"18","year":"2022","journal-title":"Phys. Rev. Appl."},{"key":"2026010907243416600_c25","doi-asserted-by":"publisher","first-page":"L100402","DOI":"10.1103\/physrevb.107.l100402","article-title":"Exceptional points as signatures of dynamical magnetic phase transitions","volume":"107","year":"2023","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c26","doi-asserted-by":"publisher","first-page":"1096","DOI":"10.1016\/j.scib.2018.07.020","article-title":"Spontaneous T-symmetry breaking and exceptional points in cavity quantum electrodynamics systems","volume":"63","year":"2018","journal-title":"Sci. Bull."},{"key":"2026010907243416600_c27","doi-asserted-by":"publisher","first-page":"193901","DOI":"10.1103\/physrevlett.123.193901","article-title":"Experimental observation of PT symmetry breaking near divergent exceptional points","volume":"123","year":"2019","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c28","doi-asserted-by":"publisher","first-page":"462","DOI":"10.1038\/s41567-020-0796-x","article-title":"Symmetry-breaking-induced plasmonic exceptional points and nanoscale sensing","volume":"16","year":"2020","journal-title":"Nat. Phys."},{"key":"2026010907243416600_c29","doi-asserted-by":"publisher","first-page":"186601","DOI":"10.1103\/physrevlett.127.186601","article-title":"Symmetry and higher-order exceptional points","volume":"127","year":"2021","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c30","doi-asserted-by":"publisher","first-page":"043834","DOI":"10.1103\/physreva.100.043834","article-title":"Enhanced stability, bistability, and exceptional points in saturable active photonic couplers","volume":"100","year":"2019","journal-title":"Phys. Rev. A"},{"key":"2026010907243416600_c31","doi-asserted-by":"publisher","first-page":"186602","DOI":"10.1103\/physrevlett.127.186602","article-title":"Symmetry-protected multifold exceptional points and their topological characterization","volume":"127","year":"2021","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c32","doi-asserted-by":"publisher","first-page":"013326","DOI":"10.1103\/physrevresearch.7.013326","article-title":"Exceptional points and stability in nonlinear models of population dynamics having PT symmetry","volume":"7","year":"2025","journal-title":"Phys. Rev. Res."},{"key":"2026010907243416600_c33","doi-asserted-by":"publisher","first-page":"214202","DOI":"10.1103\/physrevb.91.214202","article-title":"Tunable anderson metal-insulator transition in quantum spin-hall insulators","volume":"91","year":"2015","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c34","doi-asserted-by":"publisher","first-page":"014204","DOI":"10.1103\/physrevb.101.014204","article-title":"Anderson transition in three-dimensional systems with non-Hermitian disorder","volume":"101","year":"2020","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c35","doi-asserted-by":"publisher","first-page":"165114","DOI":"10.1103\/physrevb.101.165114","article-title":"Level statistics of extended states in random non-Hermitian Hamiltonians","volume":"101","year":"2020","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c36","doi-asserted-by":"publisher","first-page":"236402","DOI":"10.1103\/physrevlett.127.236402","article-title":"Coexistence of quantum Hall and quantum anomalous Hall phases in disordered MnBi2Te4","volume":"127","year":"2021","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c37","doi-asserted-by":"publisher","first-page":"166801","DOI":"10.1103\/physrevlett.126.166801","article-title":"Nonunitary scaling theory of non-Hermitian localization","volume":"126","year":"2021","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c38","doi-asserted-by":"publisher","first-page":"L022035","DOI":"10.1103\/physrevresearch.4.l022035","article-title":"Unifying the Anderson transitions in Hermitian and non-Hermitian systems","volume":"4","year":"2022","journal-title":"Phys. Rev. Res."},{"key":"2026010907243416600_c39","doi-asserted-by":"publisher","first-page":"L081118","DOI":"10.1103\/physrevb.106.l081118","article-title":"Linear level repulsions near exceptional points of non-Hermitian systems","volume":"106","year":"2022","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c40","doi-asserted-by":"publisher","first-page":"024202","DOI":"10.1103\/physrevb.107.024202","article-title":"Anderson localization transitions in disordered non-Hermitian systems with exceptional points","volume":"107","year":"2023","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c41","doi-asserted-by":"publisher","first-page":"066301","DOI":"10.1103\/physrevlett.134.066301","article-title":"Anderson transition at complex energies in one-dimensional parity-time-symmetric disordered systems","volume":"134","year":"2025","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c42","doi-asserted-by":"publisher","first-page":"176301","DOI":"10.1103\/physrevlett.134.176301","article-title":"Unified one-parameter scaling function for Anderson localization transitions in nonreciprocal non-Hermitian systems","volume":"134","year":"2025","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c43","doi-asserted-by":"publisher","first-page":"033802","DOI":"10.1103\/z9m1-3mwb","article-title":"Universal non-Hermitian transport in disordered systems","volume":"135","year":"2025","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c44","doi-asserted-by":"publisher","first-page":"076602","DOI":"10.1103\/lpm2-vcb4","article-title":"Anderson delocalization in strongly coupled disordered non-Hermitian chains","volume":"135","year":"2025","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c45","doi-asserted-by":"publisher","first-page":"180501","DOI":"10.1103\/physrevlett.123.180501","article-title":"Quantum noise theory of exceptional point amplifying sensors","volume":"123","year":"2019","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c46","doi-asserted-by":"publisher","first-page":"2454","DOI":"10.1038\/s41467-020-16373-8","article-title":"Prospects and fundamental limits in exceptional point-based sensing","volume":"11","year":"2020","journal-title":"Nat. Commun."},{"key":"2026010907243416600_c47","doi-asserted-by":"publisher","first-page":"787","DOI":"10.1103\/physrevlett.86.787","article-title":"Experimental observation of the topological structure of exceptional points","volume":"86","year":"2001","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c48","doi-asserted-by":"publisher","first-page":"184306","DOI":"10.1103\/physrevb.95.184306","article-title":"Exceptional points in a non-Hermitian topological pump","volume":"95","year":"2017","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c49","doi-asserted-by":"publisher","first-page":"066405","DOI":"10.1103\/physrevlett.123.066405","article-title":"Classification of exceptional points and non-Hermitian topological semimetals","volume":"123","year":"2019","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c50","doi-asserted-by":"publisher","first-page":"1133","DOI":"10.1126\/science.abj3179","article-title":"Plasmonic topological metasurface by encircling an exceptional point","volume":"373","year":"2021","journal-title":"Science"},{"key":"2026010907243416600_c51","doi-asserted-by":"publisher","first-page":"121401","DOI":"10.1103\/physrevb.97.121401","article-title":"Non-Hermitian robust edge states in one dimension: Anomalous localization and eigenspace condensation at exceptional points","volume":"97","year":"2018","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c52","doi-asserted-by":"publisher","first-page":"027201","DOI":"10.1088\/0256-307x\/41\/2\/027201","article-title":"Localization dynamics at the exceptional point of non-Hermitian Creutz ladder","volume":"41","year":"2024","journal-title":"Chin. Phys. Lett."},{"key":"2026010907243416600_c53","doi-asserted-by":"publisher","first-page":"035131","DOI":"10.1103\/physrevb.111.035131","article-title":"Hidden exceptional point and the localization-delocalization phase transition in the Hermitian bosonic Kitaev model","volume":"111","year":"2025","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c54","doi-asserted-by":"publisher","first-page":"287","DOI":"10.1103\/revmodphys.57.287","article-title":"Disordered electronic systems","volume":"57","year":"1985","journal-title":"Rev. Mod. Phys."},{"key":"2026010907243416600_c55","doi-asserted-by":"publisher","first-page":"1469","DOI":"10.1088\/0034-4885\/56\/12\/001","article-title":"Localization: Theory and experiment","volume":"56","year":"1993","journal-title":"Rep. Prog. Phys."},{"key":"2026010907243416600_c56","doi-asserted-by":"publisher","first-page":"1355","DOI":"10.1103\/revmodphys.80.1355","article-title":"Anderson transitions","volume":"80","year":"2008","journal-title":"Rev. Mod. Phys."},{"key":"2026010907243416600_c57","doi-asserted-by":"publisher","first-page":"5243","DOI":"10.1103\/physrevlett.80.5243","article-title":"Real spectra in non-Hermitian Hamiltonians having PT symmetry","volume":"80","year":"1998","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c58","doi-asserted-by":"publisher","first-page":"041015","DOI":"10.1103\/physrevx.9.041015","article-title":"Symmetry and topology in non-Hermitian physics","volume":"9","year":"2019","journal-title":"Phys. Rev. X"},{"key":"2026010907243416600_c59","doi-asserted-by":"publisher","first-page":"030402","DOI":"10.1103\/physrevlett.103.030402","article-title":"Exponentially fragile PT symmetry in lattices with localized eigenmodes","volume":"103","year":"2009","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c60","doi-asserted-by":"publisher","first-page":"092101","DOI":"10.1063\/5.0264120","article-title":"Pseudo-Hermiticity, anti-pseudo-Hermiticity, and generalized parity-time-reversal symmetry at exceptional points","volume":"66","year":"2025","journal-title":"J.\u00a0Math. Phys."},{"key":"2026010907243416600_c61","doi-asserted-by":"publisher","first-page":"063065","DOI":"10.1088\/1367-2630\/16\/6\/063065","article-title":"Kwant: A software package for quantum transport","volume":"16","year":"2014","journal-title":"New J. Phys."},{"key":"2026010907243416600_c62","doi-asserted-by":"publisher","first-page":"261","DOI":"10.1038\/s41592-019-0686-2","article-title":"SciPy 1.0: Fundamental algorithms for scientific computing in python","volume":"17","year":"2020","journal-title":"Nat. Methods"},{"key":"2026010907243416600_c63","volume-title":"Numerical Recipes in Fortran 90: The Art of Parallel Scientific Computing","year":"1992"},{"key":"2026010907243416600_c64","doi-asserted-by":"publisher","first-page":"214206","DOI":"10.1103\/dvn4-2z9l","article-title":"One-parameter scaling function for Anderson localization transitions in high-dimensional lattices with nonreciprocity","volume":"112","year":"2025","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c65","doi-asserted-by":"publisher","first-page":"015012","DOI":"10.1088\/1367-2630\/16\/1\/015012","article-title":"Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class","volume":"16","year":"2014","journal-title":"New J. Phys."},{"key":"2026010907243416600_c66","doi-asserted-by":"publisher","first-page":"214201","DOI":"10.1103\/physrevb.100.214201","article-title":"Metal to marginal-metal transition in two-dimensional ferromagnetic electron gases","volume":"100","year":"2019","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c67","doi-asserted-by":"publisher","first-page":"096803","DOI":"10.1103\/physrevlett.114.096803","article-title":"Band of critical states in Anderson localization in a strong magnetic field with random spin-orbit scattering","volume":"114","year":"2015","journal-title":"Phys. Rev. Lett."},{"key":"2026010907243416600_c68","doi-asserted-by":"publisher","first-page":"33304","DOI":"10.1038\/srep33304","article-title":"Absence of localization in disordered two-dimensional electron gas at weak magnetic field and strong spin-orbit coupling","volume":"6","year":"2016","journal-title":"Sci. Rep."},{"key":"2026010907243416600_c69","doi-asserted-by":"publisher","first-page":"104204","DOI":"10.1103\/physrevb.96.104204","article-title":"Anderson transition of two-dimensional spinful electrons in the Gaussian unitary ensemble","volume":"96","year":"2017","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c70","doi-asserted-by":"publisher","first-page":"357","DOI":"10.1103\/revmodphys.67.357","article-title":"Scaling theory of the integer quantum Hall effect","volume":"67","year":"1995","journal-title":"Rev. Mod. Phys."},{"key":"2026010907243416600_c71","doi-asserted-by":"publisher","first-page":"1142","DOI":"10.1103\/physrevb.55.1142","article-title":"Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures","volume":"55","year":"1997","journal-title":"Phys. Rev. B"},{"key":"2026010907243416600_c72","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1103\/revmodphys.69.731","article-title":"Random-matrix theory of quantum transport","volume":"69","year":"1997","journal-title":"Rev. Mod. Phys."},{"key":"2026010907243416600_c73","doi-asserted-by":"publisher","first-page":"238","DOI":"10.1143\/jpsjs.74s.238","article-title":"Anderson transition in the three dimensional symplectic universality class","volume":"74","year":"2005","journal-title":"J.\u00a0Phys. Soc. Jpn."},{"key":"2026010907243416600_c74","doi-asserted-by":"publisher","first-page":"104203","DOI":"10.1103\/physrevb.104.104203","article-title":"Transfer matrix study of the Anderson transition in non-Hermitian systems","volume":"104","year":"2021","journal-title":"Phys. Rev. B"}],"container-title":["The Journal of Chemical Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/pubs.aip.org\/aip\/jcp\/article-pdf\/doi\/10.1063\/5.0304357\/20865200\/024102_1_5.0304357.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/pubs.aip.org\/aip\/jcp\/article-pdf\/doi\/10.1063\/5.0304357\/20865200\/024102_1_5.0304357.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,1,9]],"date-time":"2026-01-09T12:24:39Z","timestamp":1767961479000},"score":1,"resource":{"primary":{"URL":"https:\/\/pubs.aip.org\/jcp\/article\/164\/2\/024102\/3377032\/Universality-classes-of-Anderson-localization"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,1,9]]},"references-count":74,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2026,1,14]]}},"URL":"https:\/\/doi.org\/10.1063\/5.0304357","relation":{},"ISSN":["0021-9606","1089-7690"],"issn-type":[{"value":"0021-9606","type":"print"},{"value":"1089-7690","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[2026,1,14]]},"published":{"date-parts":[[2026,1,9]]},"article-number":"024102"}}