Scattering process without conserving plasmon number in one-dimensional Wigner crystal

Abstract

In this paper we consider a quantum wire, the electrons in which form a one-dimensional Wigner crystal. One-dimensional electrons in a crystal are equivalent to plasmon modes describing the long-wavelength fluctuations of the charge density. We have studied the basic process of the plasmon scattering that is not conserved the total number of particles, – the scattering of two plasmons in three, and vice versa. For this process, the scattering rate is calculated and an equation for the relaxation of the artificial chemical potential are derived.