Mean field analysis on Homers’s law
Sung Po Chao1*
1Department of Physics, National Kaohsiung Normal University, Kaohsiung, Taiwan
* Presenter:Sung Po Chao,
An empirical relation named Homes’s law shows an interesting scaling relation, that the superfluid density at zero temperature is proportional to the superconducting transition temperature Tc times the DC conductivity σ in many different type of “dirty”[1] superconductors (conventional, cuprate, iron-based, organic, etc. [2]). It is shown by V. G. Kogan [3], by using BCS theory, that in isotropic superconductor the validity of the scaling can be extended to ξ≈lF . We use mean field theory to analyze the case of anisotropic superconductor, and discuss if this scaling could be extended to two dimensions or even lower than two.

[1] ”Dirty” here means zero temperature superconducting coherence length "ξ" much greater than electron mean free path "lF" at its normal state.
[2] S. V. Dordevic, D. N. Basov, and C. C. Homes. Sci. Rep. 3, 1713 (2013)
[3] V. G. Kogan. Phys. Rev. B. 87, 220507(R) (2013)

Keywords: superconductivity, scaling