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Polarization potentials and elementary excitations in He II at low temperatures

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Abstract

The density fluctuation excitation spectrum of He II is calculated using a generalized polarization potential approach and shown to yield a phonon-roton spectrum for wave vectors less than 2.1 Å−1 in excellent quantitative agreement with that observed in neutron scattering experiments for pressures ranging fromSVP to ∼25 bar. The model provides a simple physical explanation for the increase in maxon energy and decrease in roton energy with increasing pressure, and a quantitative account of the pressure variation of the single-phonon energy and probability amplitude in the vicinity of the roton minimum (1.8≤q≤2.1 Å−1).

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Work supported in part by the National Science Foundation Grant NSF DMR72-03026.

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Aldrich, C.H., Pines, D. Polarization potentials and elementary excitations in He II at low temperatures. J Low Temp Phys 25, 677–690 (1976). https://doi.org/10.1007/BF00657291

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