Diffusion models for atomic scale electron currents in semiconductor, p-n junction Article Swipe
While semiconductor electronics is at heart of modern world, and now uses 5nm or smaller processes of single atoms, it seems there are missing models of actual electron currents in these scales - which could help with more conscious design of future electronics. This article proposes such practical methodology allowing to model approximated electron flows in semiconductor, nonlinear Ohm law in p-n junction, and hopefully more complex systems e.g. built of transistors. It assumes electron hopping between atoms using Maximal Entropy Random Walk based diffusion - chosen accordingly to (Jaynes) maximal entropy principle, this way leading to the same stationary probability density as quantum models. Due to Anderson-like localization in nonhomogeneous lattice of semiconductor, electrons are imprisoned in entopic wells, e.g. requiring to exceed a potential barrier for conductance.
Related Topics
Concepts
Electron
Semiconductor
Ohm
Nonlinear system
Statistical physics
Physics
Electronics
Lattice (music)
Semiconductor device
Condensed matter physics
Random walk
Transistor
Quantum mechanics
Mathematics
Materials science
Electrical engineering
Nanotechnology
Engineering
Voltage
Statistics
Acoustics
Layer (electronics)
Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2112.12557
- https://arxiv.org/pdf/2112.12557
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4226369477
All OpenAlex metadata
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4226369477Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2112.12557Digital Object Identifier
- Title
-
Diffusion models for atomic scale electron currents in semiconductor, p-n junctionWork title
- Type
-
preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2021Year of publication
- Publication date
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2021-12-23Full publication date if available
- Authors
-
Jarek DudaList of authors in order
- Landing page
-
https://arxiv.org/abs/2112.12557Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2112.12557Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2112.12557Direct OA link when available
- Concepts
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Electron, Semiconductor, Ohm, Nonlinear system, Statistical physics, Physics, Electronics, Lattice (music), Semiconductor device, Condensed matter physics, Random walk, Transistor, Quantum mechanics, Mathematics, Materials science, Electrical engineering, Nanotechnology, Engineering, Voltage, Statistics, Acoustics, Layer (electronics)Top concepts (fields/topics) attached by OpenAlex
- Cited by
-
0Total citation count in OpenAlex
- Related works (count)
-
10Other works algorithmically related by OpenAlex
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| abstract_inverted_index.junction, | 62 |
| abstract_inverted_index.nonlinear | 57 |
| abstract_inverted_index.potential | 125 |
| abstract_inverted_index.practical | 47 |
| abstract_inverted_index.processes | 15 |
| abstract_inverted_index.requiring | 121 |
| abstract_inverted_index.imprisoned | 116 |
| abstract_inverted_index.principle, | 92 |
| abstract_inverted_index.stationary | 99 |
| abstract_inverted_index.accordingly | 87 |
| abstract_inverted_index.electronics | 2 |
| abstract_inverted_index.methodology | 48 |
| abstract_inverted_index.probability | 100 |
| abstract_inverted_index.approximated | 52 |
| abstract_inverted_index.conductance. | 128 |
| abstract_inverted_index.electronics. | 42 |
| abstract_inverted_index.localization | 108 |
| abstract_inverted_index.transistors. | 71 |
| abstract_inverted_index.Anderson-like | 107 |
| abstract_inverted_index.semiconductor | 1 |
| abstract_inverted_index.nonhomogeneous | 110 |
| abstract_inverted_index.semiconductor, | 56, 113 |
| cited_by_percentile_year | |
| corresponding_author_ids | https://openalex.org/A5109420627 |
| countries_distinct_count | 0 |
| institutions_distinct_count | 1 |
| citation_normalized_percentile |