Pinning of slidding collective charge state in a 1D attractive fermion system

TL;DR

This paper studies a 1D attractive fermion system with boundary potential, revealing how boundary-bound states form and cause sliding collective charges to pin near the boundary under strong negative potential, using Bethe ansatz.

Contribution

It introduces a detailed analysis of boundary effects and charge pinning phenomena in an attractive fermion model with boundary potential using Bethe ansatz.

Findings

Boundary-bound states form due to attractive boundary potential.

Sliding collective charges become pinned near the boundary with strong negative potential.

The boundary effect significantly influences the ground state properties.

Abstract

We investigate an interacting fermion model with boundary potential by using Bethe ansatz method. The ground state properties of the system and the boundary effect are discussed. It is found that attractive boundary potential leads to the boundary bound state. An interesting phenomenon is that the slidding collective charges in a periodic system, which is formed due to the attractive interaction among the fermions, will be pinned around the boundary, as long as the negative boundary potential is strong enough.