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

摘要

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