Explanation of Non-linear In-Plane Resistivity and Hall Coefficient in the Normal State of Cuprates: Polaronic Approach

  • Orifjon Ganiev
  • Azamat Elmurodov
Original Paper


We present a theoretical study of the in-plane resistivity ρ a b (T) and Hall coefficient R H (T) within the polaronic model and precursor pairing scenario by considering a two-component charge carrier picture in the normal state of high-temperature superconducting cuprates (HTSC). Here, we use a Boltzmann-equation approach and extended BCS-like model to compute ρ a b (T) and R H (T) in the τ-approximation. The opening of the pseudogap (PG) in the normal state of the cuprates should affect their transport properties. We have found that the transition to the PG regime and the effective conductivity of charge carriers in the normal state are responsible for the pronounced non-linear temperature dependence of ρ a b and R H . With the two-component model analysis, we conclude that the opening of the BCS-like PG, while the non-linear temperature dependence of ρ a b and R H could be understood as a consequence of pairing fluctuations in the PG state of cuprate superconductors. The calculated results for ρ a b (T) and R H (T) were compared with the experimental data obtained for various hole-doped cuprates. For all the considered cases, a good quantitative agreement was found between theory and experimental data. We also show that the energy scales of the binding energies of charge carriers are identified by PG crossover temperature on the cuprate phase diagram.


Cuprates Electron-phonon interactions Polarons Polaronic cooper pairs Pseudogap Transport properties 



This work was supported by the Committee for Coordination Science and Technology Development under the Cabinet of Ministers of Uzbekistan, Grant Number OT-F2-22.


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© Springer Science+Business Media, LLC 2017

Authors and Affiliations

  1. 1.Institute of Nuclear PhysicsUzbekistan Academy of Sciences, UlugbekTashkentUzbekistan
  2. 2.Department of PhysicsSamarkand State UniversitySamarkandUzbekistan

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