Emergence of Luttinger Liquid behavior of a superclimbing dislocation

TL;DR

This paper investigates how a superclimbing dislocation in solid Helium-4 can exhibit Luttinger Liquid behavior, with simulations showing a transition to an insulator and external bias restoring the original spectrum, suggesting new experimental tests.

Contribution

It demonstrates through Monte Carlo simulations that superclimbing dislocations can develop Luttinger Liquid behavior and undergo a transition to an insulator, challenging elementary scaling predictions.

Findings

Dislocation develops Luttinger Liquid behavior in simulations

External bias can restore the parabolic spectrum

Dislocation can transition into an insulating state

Abstract

A superclimbing dislocation spread over several valleys of Peierls potential in solid Helium-4 represents a non-Luttinger Liquid according to the elementary scaling dimensional analysis because its excitation spectrum is parabolic. Monte Carlo simulations, however, reveal that such a dislocation develops Luttinger Liquid behavior, which can also undergo a transition into insulating state. External bias can restore the parabolic spectrum. An experimental verification of the effect is proposed.