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

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• Probing the Degree of Coherence through the Full 1D to 3D crossover
• Particle partition entanglement of bosonic Luttinger liquids
• Absence of superfluidity in a quasi one-dimensional parahydrogen fluid adsorbed inside carbon nanotubes
• Quadratic Scaling Bosonic Path Integral Molecular Dynamics
• Experimental Realization of One Dimensional Helium
• Enhanced superfluid response of parahydrogen in nanoscale confinement
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• Transverse Quantum Superfluids
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• Linear response of one-dimensional liquid ${}^4$He to external perturbations
• Momentum distribution of He-3 in one dimension
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• Friedel oscillations in one-dimensional 4He
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• Quantum Monte Carlo study of strongly interacting bosonic one-dimensional systems in periodic potentials