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Open Quantum Systems Decoherence
Landauer conductance in the complex domain: A path to find closed-form solutions
arXiv
Authors: Mauricio J. Rodríguez, Bryan D. Gomez, Carlos Ramírez
Year
2020
Paper ID
21698
Status
Preprint
Abstract Read
~2 min
Abstract Words
73
Citations
N/A
Abstract
The Landauer formula allows us to describe theoretically the conductance in terms of the transmission function in a mesoscopic system. We propose a general method to evaluate the transmission function in the complex domain for systems connected to semi-infinite atomic chains. This reveals the presence of complex-conjugated pairs of simple poles that are responsible for transmission peaks in the real-domain evaluations. This leads us to formulate a closed-form expression for the transmission function.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2020 reference point for readers tracking recent quantum research.
- The Landauer formula allows us to describe theoretically the conductance in terms of the transmission function in a mesoscopic system.
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