Parameters of Tomonaga-Luttinger liquid in a quasi-one-dimensional material with Coulomb interactions

We derive a scheme to calculate the Tomonaga-Luttinger liquid's (TLL) parameters and the holon velocity in a quasi-one-dimensional (quasi-1D) material that consists of two-leg ladders coupled through Coulomb interactions. First, we obtain an analytic formula for electron-electron interaction potential along the conducting axis for a generalized charge distribution in a plane perpendicular to it. Then, we introduce many-body screening that is present in a quasi-1D material by proposing an approximation for the charge susceptibility. Based on this we are able to find the TLL's parameters and velocities. We then show how to use these to validate the experimental angle-resolved photoemission spectroscopy data measured recently in p polarization in NbSe3. Although we focus our study on this specific material, it is applicable for any quasi-1D system that consists of two-leg ladders as its basic units.

Automated summary

The study develops a scheme to calculate the parameters of Tomonaga-Luttinger liquid and holon velocity in quasi-1D materials, focusing on two-leg ladders coupled through Coulomb interactions. By deriving an analytic formula for electron-electron interaction potential and introducing many-body screening, the study is able to determine the TLL's parameters and velocities. Experimental validation using angle-resolved photoemission spectroscopy data in NbSe3 is provided, with the applicability of the scheme to other quasi-1D systems with two-leg ladders as basic units demonstrated.