ArticleScientific reports2016
Landauer's formula with finite-time relaxation: Kramers' crossover in electronic transport.
Article in Scientific reports, 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 10 papers.
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Who cites it
10 citing papers in PubMed.
- Spin Dynamics in Open Quantum Systems: A DLvN-TDDFT Approach.Journal of chemical theory and computation · 2026Article
- Electron Dynamics in Open Quantum Systems: The Driven Liouville-von Neumann Methodology within Time-Dependent Density Functional Theory.Journal of chemical theory and computation · 2023Article
- Electronic Transport Properties in GaAs/AlGaAs and InSe/InP Finite Superlattices under the Effect of a Non-Resonant Intense Laser Field and Considering Geometric Modifications.International journal of molecular sciences · 2022Article
- Analytic expressions for the steady-state current with finite extended reservoirs.The Journal of chemical physics · 2020Article
- Breaking the Entanglement Barrier: Tensor Network Simulation of Quantum Transport.Physical review letters · 2020Article
- Open System Tensor Networks and Kramers' Crossover for Quantum Transport.Physical review. A · 2020Article
- Communication: Gibbs phenomenon and the emergence of the steady-state in quantum transport.The Journal of chemical physics · 2018Article
- Topological quantization of energy transport in micro- and nano-mechanical lattices.Physical review. B · 2018Article
- Communication: Master equations for electron transport: The limits of the Markovian limit.The Journal of chemical physics · 2017Article
- Communication: Relaxation-limited electronic currents in extended reservoir simulations.The Journal of chemical physics · 2017Article
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Authors and funding
3 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Landauer's formula is the standard theoretical tool to examine ballistic transport in nano- and meso-scale junctions, but it necessitates that any variation of the junction with time must be slow compared to characteristic times of the system, e.g., the relaxation time of local excitations. Transport through structurally dynamic junctions is, however, increasingly of interest for sensing, harnessing fluctuations, and real-time control. Here, we calculate the steady-state current when relaxation of electrons in the reservoirs is present and demonstrate that it gives rise to three regimes of behavior: weak relaxation gives a contact-limited current; strong relaxation localizes electrons, distorting their natural dynamics and reducing the current; and in an intermediate regime the Landauer view of the system only is recovered. We also demonstrate that a simple equation of motion emerges, which is suitable for efficiently simulating time-dependent transport.
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