Three Laws of Electronic Thermal Conductivity of High Temperature Superconductors via Dipolon Theory

Recently we predicted [1] a universal peak in electronic thermal conductivity (ETC) of hIgh $T_C$ superconductors (HTSCs) via the dipolon theory [2-5]. Previously the dipolon theory has predicted the two high energy and one low energy kinks besides a new very low energy kink in HTSCs. Here we present the three laws of ETC which explain not only the origin but also the behavior of ETC in HTSCs: First Law: The ETC is due to the rate of increase of the quasiparticle energy distribution (ROIOTQED) with temperature particularly near the Fermi level. Second Law: The ROIOTQED becomes maximum at temperature $T^{(p)}$ given by $\Delta (0) /k_BT^{(p)} = 2.40 $. Third Law: Where there is a superconducting energy gap, there is a peak in the ETC at the temperature $T^{(p)}$.

(1) R. R. Sharma, Bull. Am. Phys. Soc. (2018).
(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.