Hall-Lorenz number paradox in cuprate superconductors
A.S. Alexandrov
TL;DR
This paper addresses the paradoxical differences in Lorenz numbers in cuprate superconductors by proposing a bipolaron-based model that explains various kinetic measurements and the temperature dependence of the Hall number.
Contribution
It introduces a bipolaron and polaron model that explains the Lorenz number discrepancies and kinetic behaviors in cuprates, resolving previous experimental contradictions.
Findings
The model fits multiple kinetic coefficients.
It explains the maximum in the Hall number temperature dependence.
It reconciles different Lorenz number measurements.
Abstract
Significantly different normal state Lorenz numbers have been found in two independent direct measurements based on the Righi-Leduc effect, one about 6 times smaller and the other one about 2 times larger than the Sommerfeld value in single cuprate crystals of the same chemical composition. The controversy is resolved in the model where charge carriers are mobile lattice bipolarons and thermally activated nondegenerate polarons. The model numerically fits several longitudinal and transverse kinetic coefficients providing a unique explanation of a sharp maximum in the temperature dependence of the normal state Hall number in underdoped cuprates.
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