Holographic nature of critical quantum states of proteins
The Anderson metal-insulator transition is a fundamental phenomenon in condensed matter physics, describing the transition from a conducting (metallic) to a non-conducting (insulating) state driven by disorder in a material. At the critical point of the Anderson transition, wave functions exhibit mu...
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Elsevier
2025-01-01
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| Series: | Computational and Structural Biotechnology Journal |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2001037025002120 |
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| author | Eszter Papp Gábor Vattay |
| author_facet | Eszter Papp Gábor Vattay |
| author_sort | Eszter Papp |
| collection | DOAJ |
| description | The Anderson metal-insulator transition is a fundamental phenomenon in condensed matter physics, describing the transition from a conducting (metallic) to a non-conducting (insulating) state driven by disorder in a material. At the critical point of the Anderson transition, wave functions exhibit multifractal behavior, and energy levels display a universal distribution, indicating non-trivial correlations in the eigenstates. Recent studies have shown that proteins, traditionally considered insulators, exhibit much higher conductivity than previously assumed. In this paper, we investigate several proteins known for their efficient electron transport properties. We compare their energy level statistics, eigenfunction correlation, and electron return probability to those expected in metallic, insulating, or critical states. Remarkably, these proteins exhibit properties of critically disordered metals in their natural state without any parameter adjustment. Their composition and geometry are self-organized into the critical state of the Anderson transition, and their fractal properties are universal and unique among critical systems. Our findings suggest that proteins' wave functions may fulfill “holographic” area laws, since their correlation fractal dimension is d2≈2. |
| format | Article |
| id | doaj-art-41b7baad027c4401ac799c2a7cde9430 |
| institution | DOAJ |
| issn | 2001-0370 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Computational and Structural Biotechnology Journal |
| spelling | doaj-art-41b7baad027c4401ac799c2a7cde94302025-08-20T03:19:56ZengElsevierComputational and Structural Biotechnology Journal2001-03702025-01-0130596310.1016/j.csbj.2025.05.049Holographic nature of critical quantum states of proteinsEszter Papp0Gábor Vattay1Corresponding author.; Department of Physics of Complex Systems, Institute for Physics and Astronomy, Eötvös Loránd University, H-1053 Budapest, Egyetem tér 1-3., HungaryCorresponding author.; Department of Physics of Complex Systems, Institute for Physics and Astronomy, Eötvös Loránd University, H-1053 Budapest, Egyetem tér 1-3., HungaryThe Anderson metal-insulator transition is a fundamental phenomenon in condensed matter physics, describing the transition from a conducting (metallic) to a non-conducting (insulating) state driven by disorder in a material. At the critical point of the Anderson transition, wave functions exhibit multifractal behavior, and energy levels display a universal distribution, indicating non-trivial correlations in the eigenstates. Recent studies have shown that proteins, traditionally considered insulators, exhibit much higher conductivity than previously assumed. In this paper, we investigate several proteins known for their efficient electron transport properties. We compare their energy level statistics, eigenfunction correlation, and electron return probability to those expected in metallic, insulating, or critical states. Remarkably, these proteins exhibit properties of critically disordered metals in their natural state without any parameter adjustment. Their composition and geometry are self-organized into the critical state of the Anderson transition, and their fractal properties are universal and unique among critical systems. Our findings suggest that proteins' wave functions may fulfill “holographic” area laws, since their correlation fractal dimension is d2≈2.http://www.sciencedirect.com/science/article/pii/S2001037025002120Anderson metal-insulator transitionProtein electron transportExtended Hückel methodCritical quantum statesMultifractality |
| spellingShingle | Eszter Papp Gábor Vattay Holographic nature of critical quantum states of proteins Computational and Structural Biotechnology Journal Anderson metal-insulator transition Protein electron transport Extended Hückel method Critical quantum states Multifractality |
| title | Holographic nature of critical quantum states of proteins |
| title_full | Holographic nature of critical quantum states of proteins |
| title_fullStr | Holographic nature of critical quantum states of proteins |
| title_full_unstemmed | Holographic nature of critical quantum states of proteins |
| title_short | Holographic nature of critical quantum states of proteins |
| title_sort | holographic nature of critical quantum states of proteins |
| topic | Anderson metal-insulator transition Protein electron transport Extended Hückel method Critical quantum states Multifractality |
| url | http://www.sciencedirect.com/science/article/pii/S2001037025002120 |
| work_keys_str_mv | AT eszterpapp holographicnatureofcriticalquantumstatesofproteins AT gaborvattay holographicnatureofcriticalquantumstatesofproteins |