Analysis of in-plane thermal conductivity anomalies in YBa2Cu3O7-δ cuprate superconductors

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A theoretical model is developed to account for the anomalies reported for the thermal conductivity (κ) of the high-TcYBa2Cu3O7-δ cuprate superconductors. We begin with the lattice thermal conductivity by incorporating the scattering of phonons with defects, grain boundaries, tunnelling states, charge carriers and phonons in the model Hamiltonian. The lattice thermal conductivity dominating in this cuprate is an artifact of strong phonon defects, tunnelling states and the impurity scattering mechanism below Tc. Later on, the scattering of electrons with impurities is investigated in order to assess their role in thermal conduction. We also look for the spin-wave (magnon) contribution for thermal conductivity. It is noticed that at very low temperatures (T < 10 K), κ increases and shows an almost T2 dependence on the temperature, and is attributed to spin-wave thermal transport. Further, at 60 K, κ develops a broad peak and then decreases as the temperature is increased. The anomalies are well accounted for in terms of interaction between the phonon impurity and the carrier impurity. We conclude that the behaviour of the thermal conductivity is determined by competition among the several operating scattering mechanisms for the heat carriers and a balance between electron, magnon and phonon contributions. Numerical analysis of thermal conductivity from the present model shows results similar to those revealed from experiments.

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