Breakdown of the Wiedemann-Franz law in strongly-coupled electron-phonon system, application to the cuprates
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In this article, a set of unitary transformations were used to decouple electrons and phonons in the strong-coupling limit of superconducting cuprates, and the Hall Lorenz number of the system was calculated to show that the Wiedemann-Franz law breaks down due to interference of the polaron and bipolaron contributions to heat flow.Abstract:
With the superconducting cuprates in mind, a set of unitary transformations was used to decouple electrons and phonons in the strong-coupling limit. While phonons remain almost unrenormalised, electrons are transformed into itinerent singlet and triplet bipolarons and thermally excited polarons. The triplet/singlet exchange energy and the binding energy of the bipolarons are thought to account for the spin and charge pseudogaps in the cuprates, respectively. We calculated the Hall Lorenz number of the system to show that the Wiedemann-Franz law breaks down due to the interference of the polaron and bipolaron contributions to heat flow. The model provides a quantitative fit to magnetotransport data in the cuprates. Furthermore we are able to extract the phonon component of the thermal conductivity with the use of experimental data and the model. Our results further validate the use of a charged Bose gas model to describe normal and superconducting properties of unconventional superconductors.read more
Citations
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High Temperature Superconductivity Due to a Long-Range Electron–Phonon Interaction, Application to Isotope Effects, Thermomagnetic Transport and Nanoscale Heterogeneity in Cuprates
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References
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TL;DR: In this paper, the enigmatic pseudogap phase of cuprate superconductors is characterized by a hidden broken symmetry of ${d}_{{x}^{2}\ensuremath{-}{y}^{ 2}}$-type.
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