Chin. Phys. Lett.  2024, Vol. 41 Issue (4): 047401    DOI: 10.1088/0256-307X/41/4/047401
CONDENSED MATTER: ELECTRONIC STRUCTURE, ELECTRICAL, MAGNETIC, AND OPTICAL PROPERTIES |
Evolution of Superconducting-Transition Temperature with Superfluid Density and Conductivity in Pressurized Cuprate Superconductors
Jinyu Zhao1,4†, Shu Cai2†, Yiwen Chen1,4†, Genda Gu3, Hongtao Yan1, Jing Guo1, Jinyu Han1,4, Pengyu Wang1,4, Yazhou Zhou1, Yanchun Li5, Xiaodong Li5, Zhian Ren1, Qi Wu1, Xingjiang Zhou1,4, Yang Ding2, Tao Xiang1.4,6, Ho-kwang Mao2, and Liling Sun1,2,4*
1Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China
2Center for High Pressure Science & Technology Advanced Research, Beijing 100094, China
3Condensed Matter Physics & Materials Science Department, Brookhaven National Laboratory, NY 11973-5000, USA
4University of Chinese Academy of Sciences, Beijing 100190, China
5Institute of High Energy Physics, Chinese Academy of Science, Beijing 100049, China
6Beijing Academy of Quantum Information Sciences, Beijing 100193, China
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Jinyu Zhao, Shu Cai, Yiwen Chen et al  2024 Chin. Phys. Lett. 41 047401
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Abstract What factors fundamentally determine the value of superconducting transition temperature $T_{\rm c}$ in high temperature superconductors has been the subject of intense debate. Following the establishment of an empirical law known as Homes' law, there is a growing consensus in the community that the $T_{\rm c}$ value of the cuprate superconductors is closely linked to the superfluid density ($\rho_{\rm s}$) of its ground state and the conductivity ($\sigma $) of its normal state. However, all the data supporting this empirical law ($\rho_{\rm s} = A\sigma T_{\rm c}$) have been obtained from the ambient-pressure superconductors. In this study, we present the first high-pressure results about the connection of the quantities of $\rho_{\rm s}$ and $\sigma $ with $T_{\rm c}$, through the studies on the Bi$_{1.74}$Pb$_{0.38}$Sr$_{1.88}$CuO$_{6+\delta }$ and Bi$_{2}$Sr$_{2}$CaCu$_{2}$O$_{8+\delta }$, in which the value of their high-pressure resistivity ($\rho =1/\sigma $) is achieved by adopting our newly established method, while the quantity of $\rho_{\rm s}$ is extracted using Homes' law. We highlight that the $T_{\rm c}$ values are strongly linked to the joint response factors of magnetic field and electric field, i.e., $\rho_{\rm s}$ and $\sigma $, respectively, implying that the physics determining $T_{\rm c} $ is governed by the intrinsic electromagnetic fields of the system.
Received: 01 March 2024      Editors' Suggestion Published: 22 April 2024
PACS:  74.62.-c (Transition temperature variations, phase diagrams)  
  67.25.D- (Superfluid phase)  
  74.25.F- (Transport properties)  
  74.62.Fj (Effects of pressure)  
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https://cpl.iphy.ac.cn/10.1088/0256-307X/41/4/047401       OR      https://cpl.iphy.ac.cn/Y2024/V41/I4/047401
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Jinyu Zhao
Shu Cai
Yiwen Chen
Genda Gu
Hongtao Yan
Jing Guo
Jinyu Han
Pengyu Wang
Yazhou Zhou
Yanchun Li
Xiaodong Li
Zhian Ren
Qi Wu
Xingjiang Zhou
Yang Ding
Tao Xiang
Ho-kwang Mao
and Liling Sun
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