Emergence of Luttinger Liquid behavior of a superclimbing dislocation

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.

References in corpus (6)

• Luttinger Liquid in the Core of Screw Dislocation in Helium-4
• Observation of Unusual Mass Transport in Solid hcp 4He
• The fate of vacancy-induced supersolidity in 4He
• Quantum Plasticity and Supersolid Response in Helium-4
• Dissipative superfluid mass flux through solid 4He
• Giant isochoric compressibility of solid Helium-4: the bistability of superlcimbing dislocations

Cited by in corpus (2)

• Supertransport by Superclimbing Dislocations in ${}^4$He: When All Dimensions Matter
• Phases of superclimbing dislocation with long-range interaction between jogs