{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_created":"2023-10-08T22:01:17Z","oa_version":"Preprint","oa":1,"scopus_import":"1","publisher":"American Physical Society","status":"public","quality_controlled":"1","title":"Generalized surface multifractality in two-dimensional disordered systems","day":"01","type":"journal_article","date_updated":"2023-10-09T07:09:30Z","month":"09","article_processing_charge":"No","issue":"10","date_published":"2023-09-01T00:00:00Z","publication_status":"published","abstract":[{"lang":"eng","text":"Recently, a concept of generalized multifractality, which characterizes fluctuations and correlations of critical eigenstates, was introduced and explored for all 10 symmetry classes of disordered systems. Here, by using the nonlinear sigma-model (\r\nNL\r\nσ\r\nM\r\n) field theory, we extend the theory of generalized multifractality to boundaries of systems at criticality. Our numerical simulations on two-dimensional systems of symmetry classes A, C, and AII fully confirm the analytical predictions of pure-scaling observables and Weyl symmetry relations between critical exponents of surface generalized multifractality. This demonstrates the validity of the \r\nNL\r\nσ\r\nM\r\n for the description of Anderson-localization critical phenomena, not only in the bulk but also on the boundary. The critical exponents strongly violate generalized parabolicity, in analogy with earlier results for the bulk, corroborating the conclusion that the considered Anderson-localization critical points are not described by conformal field theories. We further derive relations between generalized surface multifractal spectra and linear combinations of Lyapunov exponents of a strip in quasi-one-dimensional geometry, which hold under the assumption of invariance with respect to a logarithmic conformal map. Our numerics demonstrate that these relations hold with an excellent accuracy. Taken together, our results indicate an intriguing situation: the conformal invariance is broken but holds partially at critical points of Anderson localization."}],"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.09455","open_access":"1"}],"department":[{"_id":"MaSe"}],"volume":108,"intvolume":"       108","year":"2023","acknowledgement":"We thank Ilya Gruzberg for many illuminating discussions. S.S.B., J.F.K., and A.D.M. acknowledge support by the Deutsche Forschungsgemeinschaft (DFG) via the Grant\r\nNo. MI 658/14-1. I.S.B. acknowledges support from Russian Science Foundation (Grant No. 22-42-04416).","author":[{"full_name":"Babkin, Serafim","id":"41e64307-6672-11ee-b9ad-cc7a0075a479","last_name":"Babkin","first_name":"Serafim","orcid":"0009-0003-7382-8036"},{"full_name":"Karcher, Jonas F.","first_name":"Jonas F.","last_name":"Karcher"},{"last_name":"Burmistrov","first_name":"Igor S.","full_name":"Burmistrov, Igor S."},{"first_name":"Alexander D.","last_name":"Mirlin","full_name":"Mirlin, Alexander D."}],"publication":"Physical Review B","doi":"10.1103/PhysRevB.108.104205","publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"external_id":{"arxiv":["2306.09455"]},"article_type":"original","citation":{"chicago":"Babkin, Serafim, Jonas F. Karcher, Igor S. Burmistrov, and Alexander D. Mirlin. “Generalized Surface Multifractality in Two-Dimensional Disordered Systems.” <i>Physical Review B</i>. American Physical Society, 2023. <a href=\"https://doi.org/10.1103/PhysRevB.108.104205\">https://doi.org/10.1103/PhysRevB.108.104205</a>.","apa":"Babkin, S., Karcher, J. F., Burmistrov, I. S., &#38; Mirlin, A. D. (2023). Generalized surface multifractality in two-dimensional disordered systems. <i>Physical Review B</i>. American Physical Society. <a href=\"https://doi.org/10.1103/PhysRevB.108.104205\">https://doi.org/10.1103/PhysRevB.108.104205</a>","ista":"Babkin S, Karcher JF, Burmistrov IS, Mirlin AD. 2023. Generalized surface multifractality in two-dimensional disordered systems. Physical Review B. 108(10), 104205.","ama":"Babkin S, Karcher JF, Burmistrov IS, Mirlin AD. Generalized surface multifractality in two-dimensional disordered systems. <i>Physical Review B</i>. 2023;108(10). doi:<a href=\"https://doi.org/10.1103/PhysRevB.108.104205\">10.1103/PhysRevB.108.104205</a>","short":"S. Babkin, J.F. Karcher, I.S. Burmistrov, A.D. Mirlin, Physical Review B 108 (2023).","mla":"Babkin, Serafim, et al. “Generalized Surface Multifractality in Two-Dimensional Disordered Systems.” <i>Physical Review B</i>, vol. 108, no. 10, 104205, American Physical Society, 2023, doi:<a href=\"https://doi.org/10.1103/PhysRevB.108.104205\">10.1103/PhysRevB.108.104205</a>.","ieee":"S. Babkin, J. F. Karcher, I. S. Burmistrov, and A. D. Mirlin, “Generalized surface multifractality in two-dimensional disordered systems,” <i>Physical Review B</i>, vol. 108, no. 10. American Physical Society, 2023."},"article_number":"104205","_id":"14406","language":[{"iso":"eng"}]}