Helium-4 Luttinger liquids in nanopores

Abstract

We study the low temperature properties of a helium-4 fluid confined in nanopores, using large-scale Quantum Monte Carlo simulations with realistic He-He and He-pore interactions. In the narrow-pore limit, the system can be described by the quantum hydrodynamic theory known as Luttinger liquid theory with a large Luttinger parameter, corresponding to the dominance of solid tendencies and strong susceptibility to pinning by a periodic or random potential from the pore walls. On the other hand, for wider pores, the central region appears to behave like a Luttinger liquid with a smaller Luttinger parameter, and may be protected from pinning by the wall potential, offering the possibility of experimental detection of a Luttinger liquid.

4 pages, 3 figures; revised version fixes a typo in the sign of the chemical potential on page 2 and a mislabeling of the values of K assigned to relevant disorder and periodic potentials on page 4

References in corpus (4)

• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Luttinger Liquid in the Core of Screw Dislocation in Helium-4
• Interacting bosons in one dimension and Luttinger liquid theory
• 4He adsorbed inside (10,10) single walled carbon nanotubes

Cited by in corpus (10)

• Phase diagram of hard-core bosons on clean and disordered 2-leg ladders: Mott insulator - Luttinger liquid - Bose glass
• Luttinger liquid behavior of one-dimensional 3He
• Bose Gases Near Resonance: renormalized interactions in a condensate
• Critical Flow and Dissipation in a Quasi-One-Dimensional Superfluid
• Dissipative superfluid mass flux through solid 4He
• Particle partition entanglement of bosonic Luttinger liquids
• Absence of superfluidity in a quasi one-dimensional parahydrogen fluid adsorbed inside carbon nanotubes
• Enhanced superfluid response of parahydrogen in nanoscale confinement
• Few-Body Route to One-Dimensional Quantum Liquids
• Linear response of one-dimensional liquid ${}^4$He to external perturbations