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Title: Third sound and stability of 3He-4He mixture films

Abstract

We study third sound and the interaction between 3He adatoms in two thin 3He-4He mixture films from a first-principles, microscopic theory. Utilizing the variational, hypernetted-chain Euler-Lagrange (HNC-EL) theory as applied to inhomogeneous boson systems, we calculate chemical potentials for both the 4He superfluid film and the physisorbed 3He. Numerical density derivatives of the chemical potentials lead to the sought-after third sound speeds that clearly reflect a layered structure of at least seven oscillations. In this paper, we report third sound on model substrates: Nuclepore, and sodium. We find that the effect of the 3He depends sensitively on the particular 4He film coverage. Our most important result is that, with the addition of 3He, the third sound speed can either increase or decrease. In fact, in some regimes, the added 3He destabilizes the film and can drive ''layering transitions'', leading to fairly complicated geometric structures of the film in which the outermost layer is predicted to consist of phase-separated regions of 3He and 4He.

Authors:
 [1];  [2];  [2]
  1. Department of Physics, Washington State University, Pullman, WA 99164-2814 (United States)
  2. Institut fuer Theoretische Physik, Johannes Kepler Universitaet, A 4040 Linz (Austria)
Publication Date:
OSTI Identifier:
20884825
Resource Type:
Journal Article
Journal Name:
AIP Conference Proceedings
Additional Journal Information:
Journal Volume: 850; Journal Issue: 1; Conference: LT24: 24. international conference on low temperature physics, Orlando, FL (United States), 10-17 Aug 2005; Other Information: DOI: 10.1063/1.2354694; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0094-243X
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; BOSONS; HELIUM 3; HELIUM 4; LAYERS; MIXTURES; NUMERICAL ANALYSIS; OSCILLATIONS; POTENTIALS; SODIUM; SOUND WAVES; SUBSTRATES; SUPERFLUIDITY; THIN FILMS; THIRD SOUND; VARIATIONAL METHODS

Citation Formats

Anderson, R H, Krotscheck, E, Miller, M D, and Department of Physics, Washington State University, Pullman, WA 99164-2814. Third sound and stability of 3He-4He mixture films. United States: N. p., 2006. Web. doi:10.1063/1.2354694.
Anderson, R H, Krotscheck, E, Miller, M D, & Department of Physics, Washington State University, Pullman, WA 99164-2814. Third sound and stability of 3He-4He mixture films. United States. https://doi.org/10.1063/1.2354694
Anderson, R H, Krotscheck, E, Miller, M D, and Department of Physics, Washington State University, Pullman, WA 99164-2814. 2006. "Third sound and stability of 3He-4He mixture films". United States. https://doi.org/10.1063/1.2354694.
@article{osti_20884825,
title = {Third sound and stability of 3He-4He mixture films},
author = {Anderson, R H and Krotscheck, E and Miller, M D and Department of Physics, Washington State University, Pullman, WA 99164-2814},
abstractNote = {We study third sound and the interaction between 3He adatoms in two thin 3He-4He mixture films from a first-principles, microscopic theory. Utilizing the variational, hypernetted-chain Euler-Lagrange (HNC-EL) theory as applied to inhomogeneous boson systems, we calculate chemical potentials for both the 4He superfluid film and the physisorbed 3He. Numerical density derivatives of the chemical potentials lead to the sought-after third sound speeds that clearly reflect a layered structure of at least seven oscillations. In this paper, we report third sound on model substrates: Nuclepore, and sodium. We find that the effect of the 3He depends sensitively on the particular 4He film coverage. Our most important result is that, with the addition of 3He, the third sound speed can either increase or decrease. In fact, in some regimes, the added 3He destabilizes the film and can drive ''layering transitions'', leading to fairly complicated geometric structures of the film in which the outermost layer is predicted to consist of phase-separated regions of 3He and 4He.},
doi = {10.1063/1.2354694},
url = {https://www.osti.gov/biblio/20884825}, journal = {AIP Conference Proceedings},
issn = {0094-243X},
number = 1,
volume = 850,
place = {United States},
year = {Thu Sep 07 00:00:00 EDT 2006},
month = {Thu Sep 07 00:00:00 EDT 2006}
}