Hall-Lorenz number paradox in cuprate superconductors

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.

4 pages, 2 figures

References in corpus (11)

• Heat Transport in a Strongly Overdoped Cuprate: Fermi Liquid and Pure d-wave BCS Superconductor
• Breakdown of Fermi-liquid theory in a cuprate superconductor
• Coherent `ab' and `c' transport theory of high-$T_c$ cuprates
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• The Origin of Anomalous Low-Temperature Downturns in the Thermal Conductivity of Cuprates
• Lorenz number in high Tc superconductors: evidence for bipolarons
• Hall effect and resistivity in underdoped cuprates
• The Lorenz number in the optimally doped and underdoped Eu-123 superconductor
• Breakdown of the Wiedemann-Franz law in strongly-coupled electron-phonon system, application to the cuprates
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• Experimental fitting to the bipolaronic model of the normal-state resistance of Bi_2Sr_2CaCu_2O_8 single crystals

Cited by in corpus (4)

• Bose-Einstein condensation of strongly correlated electrons and phonons in cuprate superconductors
• Enhancement of the Hall-Lorenz number in optimally doped YBa2Cu3O_7-d
• Diamagnetism of real-space pairs above Tc in hole doped cuprates
• Bipolaronic proximity and other unconventional effects in cuprate superconductors