An extended lattice model of liquid helium four

P.H.E. Meijer and W.D. Scherer

Physica A: Statistical Mechanics and its Applications, 1975, vol. 80, issue 5, 447-464

Abstract: A description of the low- and high-temperature behavior of liquid He is given in terms of an extended Matsubara-Matsuda lattice model. Paying particular attention to the kinematical interaction and to the hard core of the bosons leads to a unified theory for the low-temperature behavior and for the lambda transition. Since the hard-core boson operators in the lattice model correspond to spin one-half operators, one can interpret the hamiltonian as the hamiltonian of a magnetic system of oblate form, i.e., the x-y coupling is stronger than the z coupling. A rotation introduced in the space of these operators results in a hamiltonian consisting of three parts: one part is of the anisotropic Heisenberg form, the second contains pairs of creation-annihilation operators at different lattice sites and the third part consists of an interaction between creation-annihilation operators and the z component of the spin operators. A particular choice of the rotation angle eliminates the third part.

Date: 1975
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:80:y:1975:i:5:p:447-464

DOI: 10.1016/0378-4371(75)90096-5

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