Luttinger liquid behavior of one-dimensional 3He

Abstract

The ground-state properties of one-dimensional 3He are studied using quantum Monte Carlo methods. The equation of state is calculated in a wide range of physically relevant densities and is well reproduced by a power-series fit. The Luttinger liquid theory is found to describe the long-range properties of the correlation function. The density dependence of the Luttinger parameter is explicitly found and interestingly it shows a non-monotonic behavior. Depending on the density, the static structure factor can be a smooth function of the momentum or might contain a peak of a finite or infinite height. Although no phase transitions are present in the system, we identify a number of physically different regimes, including an ideal Fermi gas, a "Bose-gas", a "super-Tonks-Girardeau" regime, and a "quasi-crystal".

4 figures, published version

References in corpus (7)

• Bosonizing one-dimensional cold atomic gases
• Dynamical density-density correlations in the one-dimensional Bose gas
• Helium-4 Luttinger liquids in nanopores
• Evidence of Luttinger liquid behavior in one-dimensional dipolar quantum gases
• Phase transition of interacting disordered bosons in one dimension
• Ground-State Properties of a One-Dimensional System of Hard Rods
• Off-diagonal Ground State Properties of a 1D Gas of Fermi Hard Rods

Cited by in corpus (3)

• Dynamical structure factor of one-dimensional hard rods
• Few-Body Route to One-Dimensional Quantum Liquids
• Dipolar bosons in one dimension: the case of longitudinal dipole alignment