Two-terminal transport in biased lattices: transition from ballistic to diffusive current

[2411.13031] Two-terminal transport in biased lattices: transition from ballistic to diffusive current Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Condensed Matter > Mesoscale and Nanoscale Physics arXiv:2411.13031 (cond-mat) [Submitted on 20 Nov 2024] Title: Two-terminal transport in biased lattices: transition from ballistic to diffusive current Authors: Andrey R. Kolovsky View a PDF of the paper titled Two-terminal transport in biased lattices: transition from ballistic to diffusive current, by Andrey R. Kolovsky View PDF HTML (experimental) Abstract: We analyze quantum transport of charged fermionic particles in the tight-binding lattice connecting two particle reservoirs (the leads). If the lead chemical potentials are different they create an electric field which tilts the lattice. We study the effect of this tilt on quantum transport in the presence of weak relaxation/decoherence processes in the lattice. It is shown that the Landauer ballistic transport regime for a weak tilt (small chemical potential difference) changes to the diffusive Esaki-Tsu transport regime for a strong tilt (large chemical potential difference), where the critical tilt for this crossover is determined by the condition that the Wannier-Stark localization length coincides with the lattice length. Comments: 5 pages, 5 figures Subjects: Mesoscale and Nanoscale Physics (cond-mat.mes-hall) ; Quantum Physics (quant-ph) Cite as: arXiv:2411.13031 [cond-mat.mes-hall] (or arXiv:2411.13031v1 [cond-mat.mes-hall] for this version) https://doi.org/10.48550/arXiv.2411.13031 Focus to learn more arXiv-issued DOI via DataCite Journal reference: Phys. Rev. B 112, 155410 (2025) Submission history From: Andrey R. Kolovsky [ view email ] [v1] Wed, 20 Nov 2024 04:32:01 UTC (48 KB) Full-text links: Access Paper: View a PDF of the paper titled Two-terminal transport in biased lattices: transition from ballistic to diffusive current, by Andrey R. Kolovsky View PDF HTML (experimental) TeX Source view license Current browse context: cond-mat.mes-hall < prev | next > new | recent | 2024-11 Change to browse by: cond-mat quant-ph References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) IArxiv recommender toggle IArxiv Recommender ( What is IArxiv? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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