Prediction of a roton-type feature in warm dense hydrogen

Abstract

In a recent Letter [T. Dornheim \textit{et al.}, Phys. Rev. Lett. \textbf{121}, 255001 (2018)], it was predicted on the basis of \textit{ab initio} quantum Monte Carlo simulations that, in a uniform electron gas, the peak ${\omega }_0$ of the dynamic structure factor $S(q,\omega )$ exhibits an unusual non-monotonic wave number dependence, where $d{\omega }_0/dq<0$, at intermediate $q$, under strong coupling conditions. This effect was subsequently explained by the pair alignment of electrons %at an intermediate range of wave numbers [T. Dornheim \textit{et al.}, Comm. Phys. \textbf{5}, 304 (2022)]. Here we predict that this non-monotonic dispersion resembling the roton-type behavior known from superfluids should be observable in a dense, partially ionized hydrogen plasma. Based on a combination of path integral Monte Carlo simulations and linear response results for the density response function, we present the approximate range of densities, temperatures and wave numbers and make predictions for possible experimental observations.

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Cited by in corpus (8)

• First principles simulations of dense hydrogen
• The equation of state of partially ionized hydrogen and deuterium plasma revisited
• From Density Response to Energy Functionals and Back: An ab initio perspective on Matter Under Extreme Conditions
• Estimates of the dynamic structure factor for the finite temperature electron liquid via analytic continuation of path integral Monte Carlo data
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• Accelerated free energy estimation in ab initio path integral Monte Carlo simulations
• Virial coefficients of the Uniform Electron Gas from Path Integral Monte Carlo Simulations
• Low-energy peak in the one-particle spectral function of the electron gas at metallic densities