A Landauer Formula for Bioelectronic Applications
Recent electronic transport experiments using metallic contacts attached to proteins identified some “stylized facts”, which contradict conventional wisdom that increasing either the spatial distance between the electrodes or the temperature suppresses conductance exponentially....
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-10-01
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| Series: | Biomolecules |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2218-273X/9/10/599 |
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| author | Eszter Papp Dávid P. Jelenfi Máté T. Veszeli Gábor Vattay |
| author_facet | Eszter Papp Dávid P. Jelenfi Máté T. Veszeli Gábor Vattay |
| author_sort | Eszter Papp |
| collection | DOAJ |
| description | Recent electronic transport experiments using metallic contacts attached to proteins identified some “stylized facts”, which contradict conventional wisdom that increasing either the spatial distance between the electrodes or the temperature suppresses conductance exponentially. These include nearly temperature-independent conductance over the protein in the 30 to 300 K range, distance-independent conductance within a single protein in the 1 to 10 nm range and an anomalously large conductance in the 0.1 to 10 nS range. In this paper, we develop a generalization of the low temperature Landauer formula, which can account for the joint effects of tunneling and decoherence and can explain these new experimental findings. We use novel approximations, which greatly simplify the mathematical treatment and allow us to calculate the conductance in terms of a handful macroscopic parameters, instead of the myriads of microscopic parameters describing the details of an atomic level quantum chemical computation. The new approach makes it possible to get predictions for the outcomes of new experiments without relying solely on high performance computing and can distinguish important and unimportant details of the protein structures from the point of view of transport properties. |
| first_indexed | 2024-12-11T08:24:34Z |
| format | Article |
| id | doaj.art-bfbe932dffc7459195b2aa2b93d7514b |
| institution | Directory Open Access Journal |
| issn | 2218-273X |
| language | English |
| last_indexed | 2024-12-11T08:24:34Z |
| publishDate | 2019-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Biomolecules |
| spelling | doaj.art-bfbe932dffc7459195b2aa2b93d7514b2022-12-22T01:14:35ZengMDPI AGBiomolecules2218-273X2019-10-0191059910.3390/biom9100599biom9100599A Landauer Formula for Bioelectronic ApplicationsEszter Papp0Dávid P. Jelenfi1Máté T. Veszeli2Gábor Vattay3Department of Physics of Complex Systems, Eötvös Loránd University, H-1117 Budapest, Pázmány Péter sétány 1/A, HungaryDepartment of Physics of Complex Systems, Eötvös Loránd University, H-1117 Budapest, Pázmány Péter sétány 1/A, HungaryDepartment of Physics of Complex Systems, Eötvös Loránd University, H-1117 Budapest, Pázmány Péter sétány 1/A, HungaryDepartment of Physics of Complex Systems, Eötvös Loránd University, H-1117 Budapest, Pázmány Péter sétány 1/A, HungaryRecent electronic transport experiments using metallic contacts attached to proteins identified some “stylized facts”, which contradict conventional wisdom that increasing either the spatial distance between the electrodes or the temperature suppresses conductance exponentially. These include nearly temperature-independent conductance over the protein in the 30 to 300 K range, distance-independent conductance within a single protein in the 1 to 10 nm range and an anomalously large conductance in the 0.1 to 10 nS range. In this paper, we develop a generalization of the low temperature Landauer formula, which can account for the joint effects of tunneling and decoherence and can explain these new experimental findings. We use novel approximations, which greatly simplify the mathematical treatment and allow us to calculate the conductance in terms of a handful macroscopic parameters, instead of the myriads of microscopic parameters describing the details of an atomic level quantum chemical computation. The new approach makes it possible to get predictions for the outcomes of new experiments without relying solely on high performance computing and can distinguish important and unimportant details of the protein structures from the point of view of transport properties.https://www.mdpi.com/2218-273X/9/10/599landauer fromulaconductance of biomoleculesmetallic contacts |
| spellingShingle | Eszter Papp Dávid P. Jelenfi Máté T. Veszeli Gábor Vattay A Landauer Formula for Bioelectronic Applications Biomolecules landauer fromula conductance of biomolecules metallic contacts |
| title | A Landauer Formula for Bioelectronic Applications |
| title_full | A Landauer Formula for Bioelectronic Applications |
| title_fullStr | A Landauer Formula for Bioelectronic Applications |
| title_full_unstemmed | A Landauer Formula for Bioelectronic Applications |
| title_short | A Landauer Formula for Bioelectronic Applications |
| title_sort | landauer formula for bioelectronic applications |
| topic | landauer fromula conductance of biomolecules metallic contacts |
| url | https://www.mdpi.com/2218-273X/9/10/599 |
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