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A Comprehensive Study of the 3He-He II Sandwich System Using Monte Carlo Techniques

2011/05/28 by Amer Al-Oqali, Al-Oqali, Amer, Asaad R. Sakhel +4
Earth and Planetary Sciences · Physics and Astronomy · #Atomic and Subatomic Physics Research #FOS: Physical sciences #High-pressure geophysics and materials #Other Condensed Matter (cond-mat.other) #Quantum, superfluid, helium dynamics #cond-mat.other

paper · pdf · doi:10.48550/arxiv.1105.5714

This paper is just a preliminary version and will be replaced by an updated version

arxiv created 2011/05/28 · openalex publication_date 2011/05/28 · arxiv updated 2011/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present a numerical investigation of the thermal and structural properties of the 3He-He II sandwich system adsorbed on a graphite substrate using the Worm Algorithm Quantum Monte Carlo (WAQMC) method (Boninsegni et al., Phys. Rev. E 74, 036701 (2006)). For this purpose, we modified a previously written WAQMC code originally adapted for 4He on graphite, by including the second 3He-component. In order to describe the fermions, a temperature-dependent statistical potential was used which proved very effective. To the best of our knowledge, the statistical potential has not been used before in Quantum Monte Carlo techniques for describing fermions. In an unprecedented task, the WAQMC calculations were conducted in the milli-Kelvin temperature regime. However, because of the heavy computations involved, only 30, 40, and 50 mK were considered for the time being. The pair correlations, Matsubara Green's function, structure factor, and density profiles were explored at theses temperatures. (Note: this paper is just a preliminary version and will be replaced by an updated version.

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