On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method
We show that, by applying the conformal transformation method, strongly correlated superconducting systems can be discussed in terms of the Fermi liquid with a variable density of states function. Within this approach, it is possible to formulate and carry out purely analytical study based on a set...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Condensed Matter Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/835897 |
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| author | Ryszard Gonczarek Mateusz Krzyzosiak Adam Gonczarek Lucjan Jacak |
| author_facet | Ryszard Gonczarek Mateusz Krzyzosiak Adam Gonczarek Lucjan Jacak |
| author_sort | Ryszard Gonczarek |
| collection | DOAJ |
| description | We show that, by applying the conformal transformation method, strongly correlated superconducting systems can be discussed in terms of the Fermi liquid with a variable density of states function. Within this approach, it is possible to formulate and carry out purely analytical study based on a set of fundamental equations. After presenting the mathematical structure of the s-wave superconducting gap and other quantitative characteristics of superconductors, we evaluate and discuss integrals inherent in fundamental equations describing superconducting systems. The results presented here extend the approach formulated by Abrikosov and Maki, which was restricted to the first-order expansion. A few infinite families of integrals are derived and allow us to express the fundamental equations by means of analytical formulas. They can be then exploited in order to find quantitative characteristics of superconducting systems by the method of successive approximations. We show that the results can be applied in studies of high-Tc superconductors and other superconducting materials of the new generation. |
| format | Article |
| id | doaj-art-181e6fb7bc6f4a99b72bc29606acec93 |
| institution | Kabale University |
| issn | 1687-8108 1687-8124 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Condensed Matter Physics |
| spelling | doaj-art-181e6fb7bc6f4a99b72bc29606acec932025-02-03T06:15:12ZengWileyAdvances in Condensed Matter Physics1687-81081687-81242015-01-01201510.1155/2015/835897835897On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation MethodRyszard Gonczarek0Mateusz Krzyzosiak1Adam Gonczarek2Lucjan Jacak3Faculty of Fundamental Problems of Technology, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, PolandUniversity of Michigan and Shanghai Jiao Tong University Joint Institute, 800 Dongchuan Road, Shanghai 200240, ChinaFaculty of Computer Science and Management, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, PolandFaculty of Fundamental Problems of Technology, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, PolandWe show that, by applying the conformal transformation method, strongly correlated superconducting systems can be discussed in terms of the Fermi liquid with a variable density of states function. Within this approach, it is possible to formulate and carry out purely analytical study based on a set of fundamental equations. After presenting the mathematical structure of the s-wave superconducting gap and other quantitative characteristics of superconductors, we evaluate and discuss integrals inherent in fundamental equations describing superconducting systems. The results presented here extend the approach formulated by Abrikosov and Maki, which was restricted to the first-order expansion. A few infinite families of integrals are derived and allow us to express the fundamental equations by means of analytical formulas. They can be then exploited in order to find quantitative characteristics of superconducting systems by the method of successive approximations. We show that the results can be applied in studies of high-Tc superconductors and other superconducting materials of the new generation.http://dx.doi.org/10.1155/2015/835897 |
| spellingShingle | Ryszard Gonczarek Mateusz Krzyzosiak Adam Gonczarek Lucjan Jacak On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method Advances in Condensed Matter Physics |
| title | On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method |
| title_full | On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method |
| title_fullStr | On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method |
| title_full_unstemmed | On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method |
| title_short | On New Families of Integrals in Analytical Studies of Superconductors within the Conformal Transformation Method |
| title_sort | on new families of integrals in analytical studies of superconductors within the conformal transformation method |
| url | http://dx.doi.org/10.1155/2015/835897 |
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