Role of Umklapp Processes in Conductivity of Doped Two-Leg Ladders

Abstract

Recent conductivity measurements performed on the hole-doped two-leg ladder material $\mathrm{S}{\mathrm{r}}_{14-\mathrm{x}}\mathrm{C}{\mathrm{a}}_{\mathrm{x}}\mathrm{C}{\mathrm{u}}_{24}{\mathrm{O}}_{41}$ reveal an approximately linear power law regime in the c-axis DC resistivity as a function of temperature for $x=11$. In this work, we employ a bosonic model to argue that umklapp processes are responsible for this feature and for the high spectral weight in the optical conductivity which occurs beyond the finite frequency Drude-like peak. Including quenched disorder in our model allows us to reproduce experimental conductivity and resistivity curves over a wide range of energies. We also point out the differences between the effect of umklapp processes in a single chain and in the two-leg ladder.

10 pages, 2 figures

References in corpus (3)

• Experiments on Ladders Reveal a Complex Interplay between a Spin-Gapped Normal State and Superconductivity
• Optical and transport properties in doped two-leg ladder antiferromagnet
• Conductivity of Doped Two-Leg Ladders

Cited by in corpus (2)

• Ladder-like optical conductivity in the spin-fermion model
• Low-energy effective quantum field theoretic description of excitations about soliton configurations