Document Type
Article
Department/Program
Physics
Journal Title
Physical Review Letters
Pub Date
2016
Volume
116
Issue
13
Abstract
We compute the zero-temperature dynamical structure factor of one-dimensional liquid He-4 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 quasisolid 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-particle-hole continuum typical of fermionic systems. At the low-energy boundary of such a region and moderate densities, we find consistency, within statistical uncertainties, with predictions of a power-law structure by the recently developed nonlinear Luttinger-liquid theory. In the quasisolid 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.
Recommended Citation
Bertaina, G.; Galli, D. E.; Motta, M.; Vitali, E.; and Rossi, M., One-Dimensional Liquid He-4: Dynamical Properties beyond Luttinger-Liquid Theory (2016). Physical Review Letters, 116(13).
10.1103/PhysRevLett.116.135302
DOI
10.1103/PhysRevLett.116.135302
