Fermi liquid properties of 3He-4He mixtures

K. Schörkhuber, E. Krotscheck, Janne Paaso, M. Saarela, R. Zillich

Research output: Contribution to journalArticleScientificpeer-review

Abstract

We calculate microscopically the spectrum of a 3He impurity atom moving in 4He, determine the Fermi–Liquid interaction between 3He atoms and then calculate the pressure and concentration dependence of the effective mass and the magnetic susceptibility. The long wavelength limit of the spectrum defines the hydrodynamic effective mass. When k ≥ 1.7Å-1the motion of the impurity is damped due to the decay into a roton and a low energy impurity mode. The calculations of the Fermi–Liquid interaction are based on correlated basis functions (CBF); the relevant matrix elements are determined by the Fermi hypernetted–chain theory. Our theoretical effective masses agree well with recent measurements,1,2 but our analysis suggests a new extrapolation to the zero-concentration limit. With that effective mass we also find a good agreement with the measured3 Landau parameter F^a_0.
Original languageEnglish
Pages (from-to)319-328
Number of pages10
JournalCondensed Matter Physics
Volume2
Issue number2
DOIs
Publication statusPublished - 1999
MoE publication typeA1 Journal article-refereed

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Fermi liquids
impurities
rotons
pressure dependence
atoms
extrapolation
hydrodynamics
interactions
magnetic permeability
decay
matrices
wavelengths
energy

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Schörkhuber, K., Krotscheck, E., Paaso, J., Saarela, M., & Zillich, R. (1999). Fermi liquid properties of 3He-4He mixtures. Condensed Matter Physics, 2(2), 319-328. https://doi.org/10.5488/CMP.2.2.319
Schörkhuber, K. ; Krotscheck, E. ; Paaso, Janne ; Saarela, M. ; Zillich, R. / Fermi liquid properties of 3He-4He mixtures. In: Condensed Matter Physics. 1999 ; Vol. 2, No. 2. pp. 319-328.
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Schörkhuber, K, Krotscheck, E, Paaso, J, Saarela, M & Zillich, R 1999, 'Fermi liquid properties of 3He-4He mixtures', Condensed Matter Physics, vol. 2, no. 2, pp. 319-328. https://doi.org/10.5488/CMP.2.2.319

Fermi liquid properties of 3He-4He mixtures. / Schörkhuber, K.; Krotscheck, E.; Paaso, Janne; Saarela, M.; Zillich, R.

In: Condensed Matter Physics, Vol. 2, No. 2, 1999, p. 319-328.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Fermi liquid properties of 3He-4He mixtures

AU - Schörkhuber, K.

AU - Krotscheck, E.

AU - Paaso, Janne

AU - Saarela, M.

AU - Zillich, R.

PY - 1999

Y1 - 1999

N2 - We calculate microscopically the spectrum of a 3He impurity atom moving in 4He, determine the Fermi–Liquid interaction between 3He atoms and then calculate the pressure and concentration dependence of the effective mass and the magnetic susceptibility. The long wavelength limit of the spectrum defines the hydrodynamic effective mass. When k ≥ 1.7Å-1the motion of the impurity is damped due to the decay into a roton and a low energy impurity mode. The calculations of the Fermi–Liquid interaction are based on correlated basis functions (CBF); the relevant matrix elements are determined by the Fermi hypernetted–chain theory. Our theoretical effective masses agree well with recent measurements,1,2 but our analysis suggests a new extrapolation to the zero-concentration limit. With that effective mass we also find a good agreement with the measured3 Landau parameter F^a_0.

AB - We calculate microscopically the spectrum of a 3He impurity atom moving in 4He, determine the Fermi–Liquid interaction between 3He atoms and then calculate the pressure and concentration dependence of the effective mass and the magnetic susceptibility. The long wavelength limit of the spectrum defines the hydrodynamic effective mass. When k ≥ 1.7Å-1the motion of the impurity is damped due to the decay into a roton and a low energy impurity mode. The calculations of the Fermi–Liquid interaction are based on correlated basis functions (CBF); the relevant matrix elements are determined by the Fermi hypernetted–chain theory. Our theoretical effective masses agree well with recent measurements,1,2 but our analysis suggests a new extrapolation to the zero-concentration limit. With that effective mass we also find a good agreement with the measured3 Landau parameter F^a_0.

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SN - 1607-324X

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Schörkhuber K, Krotscheck E, Paaso J, Saarela M, Zillich R. Fermi liquid properties of 3He-4He mixtures. Condensed Matter Physics. 1999;2(2):319-328. https://doi.org/10.5488/CMP.2.2.319