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Separable interactions and liquid 3He

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  • Nijhoff, F.W.
  • Capel, H.W.

Abstract

In a previous paper we derived a Landau expansion starting from an exactly solvable model for a system of fermions with an l = 1 pairing interaction in the presence of a magnetic field. The Landau expansion, which can be used to study the phases of liquid 3He, is a complicated function of 9 complex variables, in which it is not obvious a priori that the field dependence of the coefficients of the fourth-order terms can be neglected. In the present paper the extrema of the Landau expansion are analyzed in some detail with the weak-coupling values of the coefficients. The absolute minimum of the Landau expansion can be found by minimizing a three-parameter function ΦBW, the minimalization of which leads to three possible phases, the A1-phase, the ABM-phase (or two-dimensional 2D-phase) and the proper generalization of the BW-phase in the presence of a magnetic field. The phase diagram is compared with the one given by Ambegaokar and Mermin.

Suggested Citation

  • Nijhoff, F.W. & Capel, H.W., 1982. "Separable interactions and liquid 3He," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 111(3), pages 371-403.
    • Handle: RePEc:eee:phsmap:v:111:y:1982:i:3:p:371-403
    DOI: 10.1016/0378-4371(82)90042-5
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    References listed on IDEAS

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    1. Blackburn, Donald J. & Brinkman, George L. & Driver, Herbert C., 1978. "Farm Business, Behavioural and Participation Characteristics of Limited Resource Farmers," Working Papers 245003, University of Guelph, Department of Food, Agricultural and Resource Economics.
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