{"title":"波动量子点链中的传输和定位：一个简单的概率模型","authors":"J. A. Lazzús","doi":"10.1134/S1063783424600584","DOIUrl":null,"url":null,"abstract":"<p>In this study, we obtain an expression to calculate the probability of electron transmission in a linear chain of <i>N</i> quantum dots with fluctuations of the potential levels on the Fermi seas of each point. Here, the transmission probability model is based on concepts of Probability Theory. From this expression, we determine the transmission in the chain under these fluctuations. Besides, Anderson localization and other transport properties were studied using numerical simulations. Results show the impact of fluctuations on transmission efficiency and aid in comprehensively understanding electron transport in quantum dot systems.</p>","PeriodicalId":731,"journal":{"name":"Physics of the Solid State","volume":"66 3","pages":"61 - 70"},"PeriodicalIF":0.9000,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Transport and Localization in Quantum Dot Chains with Fluctuations: A Simple Probabilistic Model\",\"authors\":\"J. A. Lazzús\",\"doi\":\"10.1134/S1063783424600584\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this study, we obtain an expression to calculate the probability of electron transmission in a linear chain of <i>N</i> quantum dots with fluctuations of the potential levels on the Fermi seas of each point. Here, the transmission probability model is based on concepts of Probability Theory. From this expression, we determine the transmission in the chain under these fluctuations. Besides, Anderson localization and other transport properties were studied using numerical simulations. Results show the impact of fluctuations on transmission efficiency and aid in comprehensively understanding electron transport in quantum dot systems.</p>\",\"PeriodicalId\":731,\"journal\":{\"name\":\"Physics of the Solid State\",\"volume\":\"66 3\",\"pages\":\"61 - 70\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-06-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics of the Solid State\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1063783424600584\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"PHYSICS, CONDENSED MATTER\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of the Solid State","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1134/S1063783424600584","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
引用次数: 0
摘要
摘要 在本研究中，我们获得了一个表达式，用于计算电子在由 N 个量子点组成的线性链中的传输概率。这里的传输概率模型基于概率论的概念。根据这一表达式，我们可以确定在这些波动下链条中的传输。此外，我们还利用数值模拟研究了安德森定位和其他传输特性。结果显示了波动对传输效率的影响，有助于全面理解量子点系统中的电子传输。
Transport and Localization in Quantum Dot Chains with Fluctuations: A Simple Probabilistic Model
In this study, we obtain an expression to calculate the probability of electron transmission in a linear chain of N quantum dots with fluctuations of the potential levels on the Fermi seas of each point. Here, the transmission probability model is based on concepts of Probability Theory. From this expression, we determine the transmission in the chain under these fluctuations. Besides, Anderson localization and other transport properties were studied using numerical simulations. Results show the impact of fluctuations on transmission efficiency and aid in comprehensively understanding electron transport in quantum dot systems.
期刊介绍：
Presents the latest results from Russia’s leading researchers in condensed matter physics at the Russian Academy of Sciences and other prestigious institutions. Covers all areas of solid state physics including solid state optics, solid state acoustics, electronic and vibrational spectra, phase transitions, ferroelectricity, magnetism, and superconductivity. Also presents review papers on the most important problems in solid state physics.
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