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Journal of Low Temperature Physics

, Volume 185, Issue 1–2, pp 39–58 | Cite as

Roton Excitations and the Fluid–Solid Phase Transition in Superfluid 2D Yukawa Bosons

  • S. Molinelli
  • D. E. Galli
  • L. Reatto
  • M. Motta
Article

Abstract

We compute several ground-state properties and the dynamical structure factor of a zero-temperature system of Bosons interacting with the 2D screened Coulomb (2D-SC) potential. We resort to the exact shadow path integral ground state (SPIGS) quantum Monte Carlo method to compute the imaginary-time correlation function of the model, and to the genetic algorithm via falsification of theories (GIFT) to retrieve the dynamical structure factor. We provide a detailed comparison of ground-state properties and collective excitations of 2D-SC and \(^4\)He atoms. The roton energy of the 2D-SC system is an increasing function of density, and not a decreasing one as in \(^4\)He. This result is in contrast with the view that the roton is the soft mode of the fluid–solid transition. We uncover a remarkable quasi-universality of backflow and of other properties when expressed in terms of the amount of short-range order as quantified by the height of the first peak of the static structure factor.

Keywords

Quantum liquids Soft-core interaction Dynamical properties 

Notes

Acknowledgments

It is a pleasure to dedicate this contribution to Flavio Toigo, honoring a scientist who has given important contributions in many areas of condensed matter and statistical physics. We acknowledge the CINECA and the Regione Lombardia award, under the LISA initiative, for the availability of high-performance computing resources and support. One of us (L.R.) wants to thank Dipartimento di Fisica, Università degli Studi di Milano, for some support to his research activity. One of us (M.M.) acknowledges the support from Dipartimento di Fisica, Università degli Studi di Milano, the Simons Foundation, and NSF (Grant No. DMR-1409510).

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Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  • S. Molinelli
    • 1
  • D. E. Galli
    • 1
  • L. Reatto
    • 2
  • M. Motta
    • 3
  1. 1.Dipartimento di FisicaUniversità degli Studi di MilanoMilanoItaly
  2. 2.MilanoItaly
  3. 3.Department of PhysicsThe College of William and MaryWilliamsburgUSA

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