Logarithmic divergence of normal state resistivity of bipolaronic high-$T_{c}$ cuprates

TL;DR

This paper explains the logarithmic divergence of low-temperature resistivity in high-$T_c$ cuprates through Wigner scattering of bipolarons, supporting the presence of a charged Bose-liquid state.

Contribution

It introduces a scattering mechanism that accounts for resistivity behavior and provides quantitative agreement with experimental data in high-$T_c$ cuprates.

Findings

Logarithmic divergence of resistivity explained by Wigner scattering.

Quantitative description of resistivity and Hall effect in cuprates.

Evidence supporting a $2e$ charged Bose-liquid state.

Abstract

The resonance Wigner scattering of charged bosons (small bipolarons) in a random potential leads to logarithmically divergent low-temperature resistivity as observed in several cuprates. Unusual temperature dependence of resistivity of $La_{2-x}Sr_{x}CuO_{4}$ as well as of the Hall effect is quantitatively described in a wide temperature range providing an evidence for $2e$ charged Bose-liquid in high-$T_{c}$ cuprates.