Abstract
We prove the Gaussian dominance condition for the Huang-Yang-Luttinger model in the case with an arbitrary chemical potential. Using this condition in the framework of the method of correlation inequalities, we obtain two-sided bounds on the corresponding two-point thermodynamic means. Based on these bounds, we prove the existence of Bose condensation in this model.
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References
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 121, No. 2, pp. 347–352, November, 1999.
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Corgini, M. Huang-Yang-Luttinger model: Gaussian dominance and Bose condensation. Theor Math Phys 121, 1550–1555 (1999). https://doi.org/10.1007/BF02557225
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DOI: https://doi.org/10.1007/BF02557225