A Non-Paramagnon Approach to Two-Dimensional Normal-Liquid 3He and the Analysis of Heat Capacity Data.

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  • Ogura Masanori
    Department of Basic Sciences, Graduate School of Arts and Sciences, University of Tokyo, Komaba, Meguro–ku, Tokyo 153
  • Namaizawa Hiroshi
    Department of Basic Sciences, Graduate School of Arts and Sciences, University of Tokyo, Komaba, Meguro–ku, Tokyo 153

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  • Non-Paramagnon Approach to Two-Dimensio
  • A Non-Paramagnon Approach to Two-Dimensional Normal-Liquid<sup><b>3</b></sup>He and the Analysis of Heat Capacity Data

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Stimulated by recent experiments on the heat capacity of ^3He adsorbed on ^4Heprecoated Hectorite we shall study the thermodynamics of strongly interactingfermions in two-dimension (2D) at low temperatures.We shall focus on spin fluctuations (SF) and resort to the random phase approximation (RPA)to obtain the thermodynamic potential. To take full account of the degree of freedom of SF, integrals including the RPAsusceptibility are calculated numerically over the effectively entire energy-momentum space without imposing the conventional paramagnon approximation or the like. In addition to the T-linear term, we have found that the heat capacity as well as the entropy develop T^2-terms at verylow temperatures for T ≤ T* and T log T-termswhich take over the former for T ≥q T*, where T* is the crossover temperature defined numerically.We have compared our results for heat capacity with those obtained experimentallyand, as a first finding, located Tlog T-term as predicted. Secondly, in the frame work of Stoner-Hubbard or Landau's Fermi liquid theory, we have proposed and carried out a method of analysis of the data to evaluatethe parameters of both theories.

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