Analytical assessment of some characteristic ratios for <i>s</i>-wave superconductors

doi:10.1007/s11467-017-0739-x

Front. Phys.

2018, Vol. 13

Issue (2) : 137403 https://doi.org/10.1007/s11467-017-0739-x

RESEARCH ARTICLE

Analytical assessment of some characteristic ratios for s-wave superconductors

Ryszard Gonczarek¹, Mateusz Krzyzosiak²(

), Adam Gonczarek³, Lucjan Jacak¹

¹. Faculty of Fundamental Problems of Technology, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
². University of Michigan–Shanghai Jiao Tong University Joint Institute, 800 Dongchuan Road, Shanghai 200240, China
³. Faculty of Computer Science and Management, Wrocław University of Technology, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

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Abstract

We evaluate some thermodynamic quantities and characteristic ratios that describe low- and hightemperature 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≤T_c 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-T_c superconductors. The prospect of application of the presented model in studies of high-T_c superconductors and other superconducting systems of the new generation is also discussed.

Keywords superconductivity characteristic ratios fluctuation of the DoS

Corresponding Author(s): Mateusz Krzyzosiak

Issue Date: 24 January 2018

Cite this article:

Ryszard Gonczarek,Mateusz Krzyzosiak,Adam Gonczarek, et al. Analytical assessment of some characteristic ratios for s-wave superconductors[J]. Front. Phys. , 2018, 13(2): 137403.

URL:

https://academic.hep.com.cn/fop/EN/10.1007/s11467-017-0739-x
https://academic.hep.com.cn/fop/EN/Y2018/V13/I2/137403

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