Optimal rates for electron transfer in Marcus theory
We examine electron transfer between two quantum states in the presence of a dissipative environment represented as a set of independent harmonic oscillators. For this simple model, the Marcus transfer rates can be derived from the equations of motion for electronic operators and we show that these...
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2014
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| Online Access: | http://hdl.handle.net/1721.1/84924 |
| _version_ | 1826215436317884416 |
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| author | Mourokh, Lev Lloyd, Seth |
| author2 | Massachusetts Institute of Technology. Department of Mechanical Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Mechanical Engineering Mourokh, Lev Lloyd, Seth |
| author_sort | Mourokh, Lev |
| collection | MIT |
| description | We examine electron transfer between two quantum states in the presence of a dissipative environment represented as a set of independent harmonic oscillators. For this simple model, the Marcus transfer rates can be derived from the equations of motion for electronic operators and we show that these rates are associated to an explicit expression for the environment correlation time. We demonstrate that as a manifestation of the Goldilocks principle, the optimal transfer is governed by a single parameter which is equal to just the inverse square root of 2. |
| first_indexed | 2024-09-23T16:28:54Z |
| format | Article |
| id | mit-1721.1/84924 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T16:28:54Z |
| publishDate | 2014 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/849242022-09-29T19:58:14Z Optimal rates for electron transfer in Marcus theory Mourokh, Lev Lloyd, Seth Massachusetts Institute of Technology. Department of Mechanical Engineering Massachusetts Institute of Technology. Research Laboratory of Electronics Lloyd, Seth We examine electron transfer between two quantum states in the presence of a dissipative environment represented as a set of independent harmonic oscillators. For this simple model, the Marcus transfer rates can be derived from the equations of motion for electronic operators and we show that these rates are associated to an explicit expression for the environment correlation time. We demonstrate that as a manifestation of the Goldilocks principle, the optimal transfer is governed by a single parameter which is equal to just the inverse square root of 2. United States. Defense Advanced Research Projects Agency Eni-MIT Solar Frontiers Center 2014-02-10T17:38:06Z 2014-02-10T17:38:06Z 2013-10 2013-06 Article http://purl.org/eprint/type/JournalArticle 1539-3755 1550-2376 http://hdl.handle.net/1721.1/84924 Mourokh, Lev, and Seth Lloyd. “Optimal rates for electron transfer in Marcus theory.” Physical Review E 88, no. 4 (October 2013). © 2013 American Physical Society en_US http://dx.doi.org/10.1103/PhysRevE.88.042819 Physical Review E Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society American Physical Society |
| spellingShingle | Mourokh, Lev Lloyd, Seth Optimal rates for electron transfer in Marcus theory |
| title | Optimal rates for electron transfer in Marcus theory |
| title_full | Optimal rates for electron transfer in Marcus theory |
| title_fullStr | Optimal rates for electron transfer in Marcus theory |
| title_full_unstemmed | Optimal rates for electron transfer in Marcus theory |
| title_short | Optimal rates for electron transfer in Marcus theory |
| title_sort | optimal rates for electron transfer in marcus theory |
| url | http://hdl.handle.net/1721.1/84924 |
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