Susceptibility at the edge points of magnetization plateau of 1D electron/spin systems

TL;DR

This paper investigates the magnetization behavior near plateaus in 1D electron systems using bosonization, revealing finite susceptibility away from half filling and connecting weak and strong coupling regimes.

Contribution

It provides a detailed analysis of magnetization plateaus in 1D electron systems, including the effects of interactions and the connection between different coupling regimes.

Findings

Magnetic susceptibility remains finite away from half filling.

Plateaus at irrational magnetizations support gapless excitations.

Connections established between weak and strong coupling descriptions.

Abstract

We study the behavior of magnetization curve as a function of magnetic field in the immediate vicinity of the magnetization plateaus of 1D electron systems within the bosonization formalism. First we discuss the plateau that is formed at the saturation magnetization of 1D electron system. Interactions between electrons we treat in the lowest order of perturbation. We show that for isolated systems, where total number of electrons is not allowed to vary, magnetic susceptibility stays always finite away of half filling. Similar statement holds for many other magnetization plateaus supporting nonmagnetic gapless excitations encountered in 1D electron/spin systems in the absence of special symmetries or features responsible for the mode decoupling. We demonstrate it on example of the plateaus at irrational values of magnetization in doped modulated Hubbard chains. Finally we discuss the connection between the weak coupling description of saturation magnetization plateau and strong coupling description of zero magnetization plateau of attractively interacting electrons/ antiferromagnetically interacting spin 1 Bosons.