Comment on "Peierls Gap in Mesoscopic Ring Threated by a Magnetic Flux"

TL;DR

This paper comments on how the stability of charge density waves in one-dimensional rings under magnetic flux depends on the electron number parity, linking it to known parity effects in persistent currents.

Contribution

It highlights the parity dependence of charge density wave stability in 1D rings, extending the understanding of flux effects in mesoscopic systems.

Findings

Charge density wave stability depends on electron parity.

Parity effect is analogous to persistent current phenomena.

Highlights importance of electron number in mesoscopic ring behavior.

Abstract

In a recent letter, Yi et al. PRL 78, 3523 (1997), have considered the stability of a Charge Density Wave in a one-dimensional ring, in the presence of an Aharonov-Bohm flux. This comment shows that, in one dimension, the stability of the Charge Density Wave depends on the parity of the number of electrons in the ring. This effect is similar to the parity effect known for the persistent current in one-dimensional rings.