Aharonov-Bohm Effect in Luttinger Liquid and Beyond

TL;DR

This paper investigates the Aharonov-Bohm effect in Luttinger liquids, revealing a halved oscillation period due to spin-charge separation and exploring its relation to fractional flux effects in modified Luttinger models.

Contribution

It demonstrates the halved AB oscillation period in Luttinger liquids with spin-charge separation using bosonization and discusses its connection to fractional flux phenomena.

Findings

AB oscillation period is halved in spin-charge separated systems

Bosonization with topological numbers explains the effect

Relation to fractional 1/N-AB effect is established

Abstract

In systems with the spin-charge separation, the period of the Aharonov-Bohm (AB) oscillation becomes half of the flux quantum. This effect is at least related to the fact that for the creation of the holons (spinons) are needed two electrons. The effect is illustrated on the example of the Hubbard Hamiltonian with the aid of the bosonization including topological numbers and exists also in the Luttinger liquid on two chains. The relation to a fractional 1/N- AB effect, which can be associated with a modified Luttinger liquid, is discussed.