{"title":"CeRu \\(_{2}\\) Si比热双峰结构的现象学理论\\(_{2}\\)","authors":"Kazuyuki Matsumoto","doi":"10.1140/epjb/s10051-025-01002-4","DOIUrl":null,"url":null,"abstract":"<p>The double-peak structure observed in the specific heat of CeRu<span>\\(_{2}\\)</span>Si<span>\\(_{2}\\)</span> is explained by a phenomenological theory with free energy density expansion by entropy deviation within the first and third order. We minimize this free energy density with respect to the entropy deviation and obtain the specific heat of CeRu<span>\\(_{2}\\)</span>Si<span>\\(_{2}\\)</span>. The critical behavior of the specific heat as a function of the external magnetic field is also obtained within this theory. However, since this critical behavior would be an artifact of the mean-field theory, this criticality should be weakened in a desirable theory. Compared with an experiment, the temperature dependence of the peak value of the specific heat is also determined.</p>","PeriodicalId":787,"journal":{"name":"The European Physical Journal B","volume":"98 7","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2025-07-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A phenomenological theory for the double-peak structure in the specific heat of CeRu\\\\(_{2}\\\\)Si\\\\(_{2}\\\\)\",\"authors\":\"Kazuyuki Matsumoto\",\"doi\":\"10.1140/epjb/s10051-025-01002-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The double-peak structure observed in the specific heat of CeRu<span>\\\\(_{2}\\\\)</span>Si<span>\\\\(_{2}\\\\)</span> is explained by a phenomenological theory with free energy density expansion by entropy deviation within the first and third order. We minimize this free energy density with respect to the entropy deviation and obtain the specific heat of CeRu<span>\\\\(_{2}\\\\)</span>Si<span>\\\\(_{2}\\\\)</span>. The critical behavior of the specific heat as a function of the external magnetic field is also obtained within this theory. However, since this critical behavior would be an artifact of the mean-field theory, this criticality should be weakened in a desirable theory. Compared with an experiment, the temperature dependence of the peak value of the specific heat is also determined.</p>\",\"PeriodicalId\":787,\"journal\":{\"name\":\"The European Physical Journal B\",\"volume\":\"98 7\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2025-07-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"The European Physical Journal B\",\"FirstCategoryId\":\"4\",\"ListUrlMain\":\"https://link.springer.com/article/10.1140/epjb/s10051-025-01002-4\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, CONDENSED MATTER\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"The European Physical Journal B","FirstCategoryId":"4","ListUrlMain":"https://link.springer.com/article/10.1140/epjb/s10051-025-01002-4","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, CONDENSED MATTER","Score":null,"Total":0}
引用次数: 0
摘要
用一阶和三阶熵差自由能密度膨胀的现象学理论解释了CeRu \(_{2}\) Si \(_{2}\)比热的双峰结构。我们将自由能密度相对于熵的偏差最小化,得到了CeRu的比热\(_{2}\) Si \(_{2}\)。该理论还得到了比热随外加磁场变化的临界特性。然而,由于这种临界行为是平均场理论的产物,因此在理想的理论中,这种临界性应该被削弱。通过与实验的比较,确定了比热峰值与温度的关系。
A phenomenological theory for the double-peak structure in the specific heat of CeRu\(_{2}\)Si\(_{2}\)
The double-peak structure observed in the specific heat of CeRu\(_{2}\)Si\(_{2}\) is explained by a phenomenological theory with free energy density expansion by entropy deviation within the first and third order. We minimize this free energy density with respect to the entropy deviation and obtain the specific heat of CeRu\(_{2}\)Si\(_{2}\). The critical behavior of the specific heat as a function of the external magnetic field is also obtained within this theory. However, since this critical behavior would be an artifact of the mean-field theory, this criticality should be weakened in a desirable theory. Compared with an experiment, the temperature dependence of the peak value of the specific heat is also determined.