B. T. Abdulazizov, P. J. Baymatov, M. S. Tohirjonov, Kh. N. Juraev, O. Yunusov, P. M. Jalolova
{"title":"带非抛物线对二维电子气体单粒子熵共振峰的影响","authors":"B. T. Abdulazizov, P. J. Baymatov, M. S. Tohirjonov, Kh. N. Juraev, O. Yunusov, P. M. Jalolova","doi":"10.1007/s10773-024-05782-w","DOIUrl":null,"url":null,"abstract":"<div><p>Numerical and analytical results of a study of the single-particle entropy of a quasi-two-dimensional electron gas with allowance for the nonparabolicity of the dispersion are presented. The dependence of the single-particle entropy on the chemical potential of the gas at and far from the resonance points is analysed. It is shown that at low temperatures, the nonparabolicity of the band gives a small correction to the single-particle entropy. Both at and far from the resonance point, this correction is proportional to the product of the nonparabolicity coefficient and temperature <span>\\(\\alpha\\)</span>T. The influence of the broadening of the size quantization levels on the single-particle entropy is estimated numerically. The results obtained are presented for different temperatures of the degree of nonparabolicity of the conduction band and the magnitude of broadening.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"63 10","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Effects of Band Nonparabolicity on the Resonance Peaks of the Single-Particle Entropy of a Two-Dimensional Electron Gas\",\"authors\":\"B. T. Abdulazizov, P. J. Baymatov, M. S. Tohirjonov, Kh. N. Juraev, O. Yunusov, P. M. Jalolova\",\"doi\":\"10.1007/s10773-024-05782-w\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Numerical and analytical results of a study of the single-particle entropy of a quasi-two-dimensional electron gas with allowance for the nonparabolicity of the dispersion are presented. The dependence of the single-particle entropy on the chemical potential of the gas at and far from the resonance points is analysed. It is shown that at low temperatures, the nonparabolicity of the band gives a small correction to the single-particle entropy. Both at and far from the resonance point, this correction is proportional to the product of the nonparabolicity coefficient and temperature <span>\\\\(\\\\alpha\\\\)</span>T. The influence of the broadening of the size quantization levels on the single-particle entropy is estimated numerically. The results obtained are presented for different temperatures of the degree of nonparabolicity of the conduction band and the magnitude of broadening.</p></div>\",\"PeriodicalId\":597,\"journal\":{\"name\":\"International Journal of Theoretical Physics\",\"volume\":\"63 10\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-09-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Theoretical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10773-024-05782-w\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Theoretical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10773-024-05782-w","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Effects of Band Nonparabolicity on the Resonance Peaks of the Single-Particle Entropy of a Two-Dimensional Electron Gas
Numerical and analytical results of a study of the single-particle entropy of a quasi-two-dimensional electron gas with allowance for the nonparabolicity of the dispersion are presented. The dependence of the single-particle entropy on the chemical potential of the gas at and far from the resonance points is analysed. It is shown that at low temperatures, the nonparabolicity of the band gives a small correction to the single-particle entropy. Both at and far from the resonance point, this correction is proportional to the product of the nonparabolicity coefficient and temperature \(\alpha\)T. The influence of the broadening of the size quantization levels on the single-particle entropy is estimated numerically. The results obtained are presented for different temperatures of the degree of nonparabolicity of the conduction band and the magnitude of broadening.
期刊介绍:
International Journal of Theoretical Physics publishes original research and reviews in theoretical physics and neighboring fields. Dedicated to the unification of the latest physics research, this journal seeks to map the direction of future research by original work in traditional physics like general relativity, quantum theory with relativistic quantum field theory,as used in particle physics, and by fresh inquiry into quantum measurement theory, and other similarly fundamental areas, e.g. quantum geometry and quantum logic, etc.