Comparison of the Hole Concentration determined by Transport Measurement for the Hole-doped Cuprate Superconductors

TL;DR

This study compares different methods of determining hole concentration in cuprate superconductors, showing that proper normalization allows mapping between scales and revealing underlying correlations.

Contribution

It demonstrates that the hole concentration scale based on thermoelectric power can be correlated with other scales through normalization, enabling unified understanding of hole doping levels.

Findings

Normalized $T_c$ scales with $P_{pl}/P_{pl}^{opt}$

Hall number correlates with $P_{pl}/V_{euc}$

Hole scales can be mapped with proper normalization

Abstract

We have compared the hole concentration ($P_{pl}$) determined by hole-scale based on the thermoelectric power at RT ($S^{290}$) to the hole concentrations ($P$) determined by two popular hole-scales based on the superconducting critical temperature ($T_c$) and Hall coefficient ($R_H$). While the hole concentrations based on different hole-scales are different, we show that when the $P_{pl}$ is divided by either the effective unit cell volume ($V_{euc}$) which is the unit-cell volume per one CuO$_2$ plane or the optimal hole concentration ($P_{pl}^{opt}$) we can find some correlation between $P_{pl}$ and $P$. That is, the normalized $T_c$ ($T_c$ / $T_c$($P_{pl}^{opt}$)) and the Hall number (1/$eR_H$) are well scaled with $P_{pl}$ / $P_{pl}^{opt}$ and $P_{pl}$ / $V_{euc}$, respectively. We find that the $P_{pl}$-scale can map to and reproduce the other two hole scales if proper dimensionality and normalization are taken into account but not vice versa.