{"title":"Investigation of thermodynamic properties of bilayer graphene under dual gating with perpendicular magnetic field","authors":"Li-Cai Zhao","doi":"10.1007/s10910-024-01684-8","DOIUrl":null,"url":null,"abstract":"<div><p>The thermodynamic properties of bilayer graphene under dual gating have been studied as a function of temperature in the presence of an external perpendicular magnetic field. AB-stacked bilayer graphene quantum dots are investigated, and the energy levels are determined both without and with an applied magnetic field. Numerical expressions for mean energy, specific heat, magnetization, entropy, and susceptibility are calculated using the partition function. Specific heat showed a peak in the presence of a magnetic field, while magnetic susceptibility exhibited positive values in region 2, influenced by Landau levels and magnetic field effects.</p></div>","PeriodicalId":648,"journal":{"name":"Journal of Mathematical Chemistry","volume":"63 2","pages":"492 - 501"},"PeriodicalIF":2.0000,"publicationDate":"2024-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Chemistry","FirstCategoryId":"92","ListUrlMain":"https://link.springer.com/article/10.1007/s10910-024-01684-8","RegionNum":3,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
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Abstract
The thermodynamic properties of bilayer graphene under dual gating have been studied as a function of temperature in the presence of an external perpendicular magnetic field. AB-stacked bilayer graphene quantum dots are investigated, and the energy levels are determined both without and with an applied magnetic field. Numerical expressions for mean energy, specific heat, magnetization, entropy, and susceptibility are calculated using the partition function. Specific heat showed a peak in the presence of a magnetic field, while magnetic susceptibility exhibited positive values in region 2, influenced by Landau levels and magnetic field effects.
期刊介绍：
The Journal of Mathematical Chemistry (JOMC) publishes original, chemically important mathematical results which use non-routine mathematical methodologies often unfamiliar to the usual audience of mainstream experimental and theoretical chemistry journals. Furthermore JOMC publishes papers on novel applications of more familiar mathematical techniques and analyses of chemical problems which indicate the need for new mathematical approaches.
Mathematical chemistry is a truly interdisciplinary subject, a field of rapidly growing importance. As chemistry becomes more and more amenable to mathematically rigorous study, it is likely that chemistry will also become an alert and demanding consumer of new mathematical results. The level of complexity of chemical problems is often very high, and modeling molecular behaviour and chemical reactions does require new mathematical approaches. Chemistry is witnessing an important shift in emphasis: simplistic models are no longer satisfactory, and more detailed mathematical understanding of complex chemical properties and phenomena are required. From theoretical chemistry and quantum chemistry to applied fields such as molecular modeling, drug design, molecular engineering, and the development of supramolecular structures, mathematical chemistry is an important discipline providing both explanations and predictions. JOMC has an important role in advancing chemistry to an era of detailed understanding of molecules and reactions.
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