Three Corollaries to the Three Laws of Electronic Thermal Conductivity of High Temperature Superconductors (HTSCs) via Dipolon Theory

Recently we discovered three laws [1] of
electronic thermal conductivity
(ETC) in HTSCs
via dipolon theory [2-5].
Previously, the dipolon
theory
predicted first of all
two new high energy kinks which were observed later on
experimentally.
Here we present three corollaries to the
three laws of ETC.
First corollary:
For HTSCs for which
$ \Delta (0) = \alpha T_C $,
the peak of the ETC is at
$T^{(p)}
=0.4 \alpha T_C$.
Second corollary:
If the superconducting energy gap
is destroyed, the peak of the ETC disappears.
Third corollary:
The peak of the ETC is not due to
the reduction of the scattering rate
though it enhances the ETC and shifts the peak
dependent on the variation of the scattering rate
with temperature.
These along with three laws [1]
explain clearly the origin and behavior of ETC in HTSCs.
(1) R. R. Sharma, Bull. Am. Phys. Soc. (2019).
(2) R. R. Sharma, Phy. Rev. {\bf B 63}, 054506 (2001).
(3) R. R. Sharma, Physica {\bf C 439}, 47 (2006).
(4) R. R. Sharma, Physica {\bf C 468}, 190 (2008).
(5) R. R. Sharma, "Dipolon Theory of Kink Structure
...", in "Superconducting ...", Ed. K. N. Courtlandt,
P. 81-100, Nova Sc, Pub., Inc., New York, 2009.