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Zero and First Sound in Normal Fermi Systems

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Abstract

On the basis of a moment method, general solutions of a linearized Boltzmann equation for a normal Fermi system are investigated. In particular, we study the sound velocities and damping rates as functions of the temperature and the coupling constant. In the extreme limits of collisionless and hydrodynamic regimes, eigenfrequency of sound mode obtained from the moment equations reproduces the well-known results of zero sound and first sound. In addition, the moment method can describe crossover between those extreme limits at finite temperatures. Solutions of the moment equations also involve a thermal diffusion mode. From solutions of these equations, we discuss excitation spectra corresponding to the particle-hole continuum as well as collective excitations. We also discuss a collective mode in a weak coupling case.

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Authors and Affiliations

  1. Institute of Physics, Department of Physics, The University of Tokyo, Komaba 3-8-1 Meguro-ku, Tokyo, 153-8902, Japan

    Shohei Watabe

  2. Department of Physics, Faculty of Science, Tokyo Institute of Technology, 2-12-1 O-okayama, Meguro-ku, Tokyo, 152-8551, Japan

    Aiko Osawa

  3. Department of Physics, Tokyo University of Science, 1-3 Kagurazaka, Shinjuku-ku, Tokyo, 162-8601, Japan

    Tetsuro Nikuni

Authors
  1. Shohei Watabe
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  2. Aiko Osawa
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  3. Tetsuro Nikuni
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Correspondence to Shohei Watabe.

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Watabe, S., Osawa, A. & Nikuni, T. Zero and First Sound in Normal Fermi Systems. J Low Temp Phys 158, 773–805 (2010). https://doi.org/10.1007/s10909-009-0043-4

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  • DOI: https://doi.org/10.1007/s10909-009-0043-4

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