We compute the zero-temperature dynamical structure factor of one-dimensional liquid ^4He 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.
Titolo: | One-Dimensional Liquid ^4He: Dynamical Properties beyond Luttinger-Liquid Theory | |
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Data di pubblicazione: | 2016 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevLett.116.135302 | |
Handle: | http://hdl.handle.net/11384/62657 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |