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One-Dimensional Liquid He-4: Dynamical Properties beyond Luttinger-Liquid Theory
Bertaina, G. Galli, D. E. Motta, M. Vitali, E. Rossi, M.
Bertaina, G.
Galli, D. E.
Motta, M.
Vitali, E.
Rossi, M.
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.
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2016-01-01
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Physics
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https://doi.org/10.1103/PhysRevLett.116.135302