Superconductivity vs Charge Density Wave in One-Dimensional Bipolaron System with Random Potentials

TLDR: In this article, the authors investigated the randomness and interactions between superconductivity and charge density wave in one dimensional bipolaron system in the half filled case at finite temperatures by carring out the numerical simulation on the S=1/2 XXZ spin chain using the transfer matrix by Suzuki-Trotter formula.

Abstract: We investigate the ellects of the randomness and interactions on the competition between superconductivity and charge density wave in one dimensional bipolaron system in the half filled case at finite temperatures by carring out the numerical simulation on the S=1/2 XXZ spin chain using the transfer matrix by Suzuki-Trotter formula. We obtain the scaling form of the correlation functions as functions of temperature and strength of the random potentials. These results are discussed in connection with the Fukuyama-Lee length in the problem of the charge density wave pinning.