paper

One-dimensional liquid He: dynamical properties beyond Luttinger liquid theory

arXiv:1412.7179 · doi:10.1103/PhysRevLett.116.135302

Abstract

We compute the zero-temperature dynamical structure factor of one-dimensional liquid He by means of state-of-the-art Quantum Monte Carlo and analytic continuation techniques. By increasing the density, the dynamical structure factor reveals a transition from a highly compressible critical liquid to a quasi-solid regime. In the low-energy limit, the dynamical structure factor can be described by the quantum hydrodynamic Luttinger liquid theory, with a Luttinger parameter spanning all possible values by increasing the density. At higher energies, our approach provides quantitative results beyond the Luttinger liquid theory. In particular, as the density increases, the interplay between dimensionality and interaction makes the dynamical structure factor manifest a pseudo {\it{particle-hole}} continuum typical of fermionic systems. At the low-energy boundary of such region and moderate densities, we find consistency, within statistical uncertainties, with predictions of a power-law structure by the recently-developed non-linear Luttinger liquid theory. In the quasi-solid regime we observe a novel behavior at intermediate momenta, which can be described by new analytical relations that we derive for the hard-rods model.

12 pages, 9 figures, containing Supplemental Material. Accepted for publication in Physical Review Letters. Completely revised text, stricter finite-size analysis, more sophisticate analytic continuations, new Fig. 4 showing comparison to non-linear Luttinger liquid theory for hard-rods

References in corpus (17)

Cited by in corpus (33)