Analytical assessment of some characteristic ratios for s-wave superconductors
Analytical assessment of some characteristic ratios for s-wave superconductors作者机构：Faculty of Fundamental Problems of Technology Wroctaw University of Technology Wybrzeze Wyspianskiego 27 50-370 Wroctaw Poland University of Michigan-Shanghai Jiao Tong University Joint Institute 800 Dongchuan Road Shanghai 200240 China Faculty of Computer Science and Management Wroctaw University of Technology Wybrzeze Wyspianskiego 27 50-370 Wroctaw Poland
出 版 物：《Frontiers of physics》 (物理学前沿（英文版）)
年 卷 期：2018年第13卷第2期
页 面：201-212页
核心收录：
学科分类：080705[工学-制冷及低温工程] 07[理学] 070205[理学-凝聚态物理] 08[工学] 0707[理学-海洋科学] 0807[工学-动力工程及工程热物理] 0704[理学-天文学] 0702[理学-物理学]
基 金：supported by Ministry of Science and Higher Education (Poland) in 2017-2018
主 题：superconductivity characteristic ratios fluctuation of the DoS
摘 要：We evaluate some thermodynamic quantities and characteristic ratios that describe low- and high- temperature s-wave superconducting systems. Based on a set of fundamental equations derived within the conformal transformation method, a simple model is proposed and studied analytically. After including a one-parameter class of fluctuations in the density of states, the mathematical structure of the s-wave superconducting gap, the free energy difference, and the specific heat difference is found and discussed in an analytic manner. Both the zero-temperature limit T = 0 and the subcritical temperature range T ≤ Tc are discussed using the method of successive approximations. The equation for the ratio R1, relating the zero-temperature energy gap and the critical temperature, is formulated and solved numerically for various values of the model parameter. Other thermodynamic quantities are analyzed, including a characteristic ratio R2, quantifying the dynamics of the specific heat jump at the critical temperature. It is shown that the obtained model results coincide with experimental data for low-To superconductors. The prospect of application of the presented model in studies of high-To superconductors and other superconducting systems of the new generation is also discussed.
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