An extended lattice model of liquid helium four
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.
Year of publication: |
1975
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Authors: | Meijer, P.H.E. ; Scherer, W.D. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 80.1975, 5, p. 447-464
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Publisher: |
Elsevier |
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