Bose one-component plasma in 2D: a Monte Carlo study

Abstract

The low-temperature properties of a 2D Bose fluid of charged particles interacting through a 1/r potential, moving in the presence of a uniform neutralizing background, is studied by Quantum Monte Carlo simulations. We make use of the Modified Periodic Coulomb potential formalism to account for the long-range character of the interaction, and explore a range of density corresponding to average interparticle separation $1\le r_s\le 80$. We report numerical results based on simulations of system comprising up to 2304 particles. We find a superfluid ground state for $r_s$ as large as 70, i.e., significantly above the most recent numerical estimate of the Wigner crystallization threshold, which we estimate at $r_W\approx 71$. Furthermore, no thermally re-entrant crystalline phase nor any evidence of metastable bubbles is observed near the transition, in contrast with a previous theoretical study in which quantum statistics was neglected. The computed superfluid transition temperature depends remarkably weakly on density.

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References in corpus (20)

• Worm Algorithm and Diagrammatic Monte Carlo: A New Approach to Continuous-Space Path Integral Monte Carlo Simulations
• Worm Algorithm for Continuous-space Path Integral Monte Carlo Simulations
• Finite-size errors in continuum quantum Monte Carlo calculations
• Applications of quantum Monte Carlo methods in condensed systems
• Sharp transition for single polarons in the one-dimensional Su-Schrieffer-Heeger model
• Superfluidity and Quantum Melting of para-Hydrogen clusters
• Structure, superfluidity, and quantum melting of hydrogen clusters
• Light Bipolarons Stabilized by Peierls Electron-Phonon Coupling
• Hexatic and mesoscopic phases in the 2D quantum Coulomb system
• Path Integral Ground State with a Fourth-Order Propagator: Application to Condensed Helium
• Bipolaronic high-temperature superconductivity
• Population size bias in Diffusion Monte Carlo
• Supersolid phases of cold atom assemblies
• Role of Bose Statistics in Crystallization and Quantum Jamming
• Patterned Supersolids in Dipolar Bose Systems
• Coexistence, interfacial energy, and the fate of microemulsions in 2D dipolar bosons
• Systematic study of finite-size effects in quantum Monte Carlo calculations of real metallic systems
• Monte Carlo simulations of two-dimensional charged bosons
• Ewald summation for ferroelectric perovskites with charges and dipoles
• Superconducting transition temperature of the Bose one-component plasma