A Scenario for the Critical Fluctuations near the Transition of Few-Bilayer Films of High-Temperature Cuprate Superconductors
We study the critical fluctuations near the resistive transition of very thin films of high-temperature cuprate superconductors composed of a number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant=&...
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MDPI AG
2022-12-01
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| Series: | Nanomaterials |
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| Online Access: | https://www.mdpi.com/2079-4991/12/24/4368 |
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| author | Martín M. Botana Manuel V. Ramallo |
| author_facet | Martín M. Botana Manuel V. Ramallo |
| author_sort | Martín M. Botana |
| collection | DOAJ |
| description | We study the critical fluctuations near the resistive transition of very thin films of high-temperature cuprate superconductors composed of a number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">N</mi></semantics></math></inline-formula> of only a few unit cells of superconducting bilayers. For that, we solve the fluctuation spectrum of a Gaussian–Ginzburg–Landau model for few-bilayers superconductors considering two alternating Josephson interlayer interaction strengths, and we obtain the corresponding paraconductivity above the transition. Then, we extend these calculations to temperatures below the transition through expressions for the Ginzburg number and Kosterlitz–Thouless-like critical region. When compared with previously available data in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>YBa</mi><mn>2</mn></msub></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>Cu</mi><mn>3</mn></msub></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="normal">O</mi><mrow><mn>7</mn><mo>−</mo><mi>δ</mi></mrow></msub></semantics></math></inline-formula> few-bilayers systems, with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">N</mi></semantics></math></inline-formula> = 1 to 4, our results seem to provide a plausible scenario for their critical regime. |
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| last_indexed | 2024-03-09T16:01:23Z |
| publishDate | 2022-12-01 |
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| series | Nanomaterials |
| spelling | doaj.art-7cc96b7c74604c5cb756574560fdb45d2023-11-24T17:03:10ZengMDPI AGNanomaterials2079-49912022-12-011224436810.3390/nano12244368A Scenario for the Critical Fluctuations near the Transition of Few-Bilayer Films of High-Temperature Cuprate SuperconductorsMartín M. Botana0Manuel V. Ramallo1Quantum Materials and Photonics Research Group (QMatterPhotonics), Department of Particle Physics, University of Santiago de Compostela, 15782 Santiago de Compostela, SpainQuantum Materials and Photonics Research Group (QMatterPhotonics), Department of Particle Physics, University of Santiago de Compostela, 15782 Santiago de Compostela, SpainWe study the critical fluctuations near the resistive transition of very thin films of high-temperature cuprate superconductors composed of a number <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">N</mi></semantics></math></inline-formula> of only a few unit cells of superconducting bilayers. For that, we solve the fluctuation spectrum of a Gaussian–Ginzburg–Landau model for few-bilayers superconductors considering two alternating Josephson interlayer interaction strengths, and we obtain the corresponding paraconductivity above the transition. Then, we extend these calculations to temperatures below the transition through expressions for the Ginzburg number and Kosterlitz–Thouless-like critical region. When compared with previously available data in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>YBa</mi><mn>2</mn></msub></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>Cu</mi><mn>3</mn></msub></semantics></math></inline-formula><inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi mathvariant="normal">O</mi><mrow><mn>7</mn><mo>−</mo><mi>δ</mi></mrow></msub></semantics></math></inline-formula> few-bilayers systems, with <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi mathvariant="script">N</mi></semantics></math></inline-formula> = 1 to 4, our results seem to provide a plausible scenario for their critical regime.https://www.mdpi.com/2079-4991/12/24/4368high-temperature cuprate superconductorscritical fluctuationsvery thin films |
| spellingShingle | Martín M. Botana Manuel V. Ramallo A Scenario for the Critical Fluctuations near the Transition of Few-Bilayer Films of High-Temperature Cuprate Superconductors Nanomaterials high-temperature cuprate superconductors critical fluctuations very thin films |
| title | A Scenario for the Critical Fluctuations near the Transition of Few-Bilayer Films of High-Temperature Cuprate Superconductors |
| title_full | A Scenario for the Critical Fluctuations near the Transition of Few-Bilayer Films of High-Temperature Cuprate Superconductors |
| title_fullStr | A Scenario for the Critical Fluctuations near the Transition of Few-Bilayer Films of High-Temperature Cuprate Superconductors |
| title_full_unstemmed | A Scenario for the Critical Fluctuations near the Transition of Few-Bilayer Films of High-Temperature Cuprate Superconductors |
| title_short | A Scenario for the Critical Fluctuations near the Transition of Few-Bilayer Films of High-Temperature Cuprate Superconductors |
| title_sort | scenario for the critical fluctuations near the transition of few bilayer films of high temperature cuprate superconductors |
| topic | high-temperature cuprate superconductors critical fluctuations very thin films |
| url | https://www.mdpi.com/2079-4991/12/24/4368 |
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