Manipulating the Tomonaga-Luttinger exponent by electric field modulation

TL;DR

This paper presents a theoretical method to control the Tomonaga-Luttinger liquid exponent using electric field modulation, enabling tunable transport properties in one-dimensional electron systems.

Contribution

It introduces a novel theoretical framework for externally tuning the power-law exponent in Tomonaga-Luttinger liquids through electric field modulation.

Findings

Exponent increases with electric field amplitude

Transport properties are tunable via electric field

Field-induced shift in power-law behavior

Abstract

We establish a theoretical framework for artificial control of the power-law singularities in Tomonaga-Luttinger liquid states. The exponent governing the power-law behaviors is found to increase significantly with an increase in the amplitude of the periodic electric field modulation applied externally to the system. This field-induced shift in the exponent indicates the tunability of the transport properties of quasi-one-dimensional electron systems.