Coexistence of extended and localized states in one-dimensional systems Article Swipe
André M. C. Souza
,
Roberto F. S. Andrade
·
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1806.01448
YOU?
·
· 2018
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.1806.01448
Mobility edge transitions from localized to extended states have been observed in two and three dimensional systems, for which sound theoretical explanations have also been derived. One-dimensional lattice models have failed to predict their emergence, offering no clues on how to actually probe this phenomenon in lower dimensions. This work reports results for a class of tight-binding models with electron-mass position dependence, for which localized-extended wave function transitions can be identified. We show that it is possible to control the density of localized and extended states by tuning the transition-related parameter for a continuous range of energy values. Mathematically exact results for extended or localized states are derived in two extreme conditions of this parameter, as well as an exact energy value for the mobility edge transition in the intermediate regime. Our framework provides a clear point of view on the phenomena and can also be harnessed for setting up experiments to probe to precisely evaluate the associated mobility edges using state-of-the-art technology.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/1806.01448
- https://arxiv.org/pdf/1806.01448
- OA Status
- green
- References
- 16
- Related Works
- 20
- OpenAlex ID
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All OpenAlex metadata
Raw OpenAlex JSON
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https://openalex.org/W2807172356Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.1806.01448Digital Object Identifier
- Title
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Coexistence of extended and localized states in one-dimensional systemsWork title
- Type
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preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2018Year of publication
- Publication date
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2018-06-05Full publication date if available
- Authors
-
André M. C. Souza, Roberto F. S. AndradeList of authors in order
- Landing page
-
https://arxiv.org/abs/1806.01448Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/1806.01448Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
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https://arxiv.org/pdf/1806.01448Direct OA link when available
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Statistical physics, Physics, Lattice (music), Position (finance), Enhanced Data Rates for GSM Evolution, Work (physics), Range (aeronautics), Condensed matter physics, Quantum mechanics, Materials science, Computer science, Acoustics, Telecommunications, Composite material, Economics, FinanceTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
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16Number of works referenced by this work
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20Other works algorithmically related by OpenAlex
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| abstract_inverted_index.parameter | 90 |
| abstract_inverted_index.phenomena | 141 |
| abstract_inverted_index.precisely | 154 |
| abstract_inverted_index.associated | 157 |
| abstract_inverted_index.conditions | 111 |
| abstract_inverted_index.continuous | 93 |
| abstract_inverted_index.emergence, | 34 |
| abstract_inverted_index.parameter, | 114 |
| abstract_inverted_index.phenomenon | 44 |
| abstract_inverted_index.transition | 126 |
| abstract_inverted_index.dependence, | 61 |
| abstract_inverted_index.dimensional | 15 |
| abstract_inverted_index.dimensions. | 47 |
| abstract_inverted_index.experiments | 150 |
| abstract_inverted_index.identified. | 70 |
| abstract_inverted_index.technology. | 162 |
| abstract_inverted_index.theoretical | 20 |
| abstract_inverted_index.transitions | 2, 67 |
| abstract_inverted_index.explanations | 21 |
| abstract_inverted_index.intermediate | 129 |
| abstract_inverted_index.electron-mass | 59 |
| abstract_inverted_index.tight-binding | 56 |
| abstract_inverted_index.Mathematically | 98 |
| abstract_inverted_index.One-dimensional | 26 |
| abstract_inverted_index.state-of-the-art | 161 |
| abstract_inverted_index.localized-extended | 64 |
| abstract_inverted_index.transition-related | 89 |
| cited_by_percentile_year | |
| countries_distinct_count | 0 |
| institutions_distinct_count | 2 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/7 |
| sustainable_development_goals[0].score | 0.8799999952316284 |
| sustainable_development_goals[0].display_name | Affordable and clean energy |
| citation_normalized_percentile |