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Second roton feature in the strongly coupled electron liquid.

Thomas M Chuna1,2, Jan Vorberger2, Panagiotis Tolias3

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Area of Science:

  • Condensed matter physics
  • Quantum many-body systems
  • Computational physics

Background:

  • The uniform electron gas (UEG) is a fundamental model in condensed matter physics.
  • Understanding its dynamic properties is crucial for describing various materials.
  • Previous studies identified a roton-type feature in the UEG's dynamic response.

Purpose of the Study:

  • To present extensive ab initio path integral Monte Carlo (PIMC) results for the dynamic properties of the finite temperature UEG.
  • To rigorously assess the density and temperature dependence of the roton-type feature.
  • To investigate the emergence of new dynamic features and their implications.

Main Methods:

  • Extensive ab initio path integral Monte Carlo (PIMC) simulations.
  • Direct analysis of the imaginary-time density-density correlation function (ITCF).
  • Analytic continuation of PIMC results to compute the dynamic structure factor.

Main Results:

  • Detailed dynamic properties of the UEG across a wide density range (2 ≤ rs ≤ 300).
  • Confirmation and detailed characterization of the roton-type feature's density and temperature dependence.
  • Resolution of a second roton feature at the second harmonic for rs ≳ 100, identified as incipient phonon dispersion.
  • Substantiation of the second roton in the strongly coupled electron liquid via dynamic structure factor calculations.

Conclusions:

  • The study elucidates the complex interplay between quantum delocalization and Coulomb coupling in the UEG.
  • The identified second roton provides new insights into the collective excitations of the electron gas.
  • Freely available PIMC data serve as valuable benchmarks for theoretical methodologies.