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Ground-state properties of a dilute homogeneous Bose gas of hard disks in two dimensions
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The energy and structure of a dilute hard-disks Bose gas are studied in the framework of a variational many-body approach based on a Jastrow correlated ground-state wave function. The asymptotic behaviors of the radial distribution function and the one-body density matrix are analyzed after solving the Euler equation obtained by a free minimization of the hypernetted chain energy functional. Our results show important deviations from those of the available low density expansions, already at gas parameter values x~0.001 . The condensate fraction in 2D is also computed and found generally lower than the 3D one at the same x.
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MAZZANTI CASTRILLEJO, Ferran, POLLS MARTÍ, Artur and FABROCINI, A. Ground-state properties of a dilute homogeneous Bose gas of hard disks in two dimensions. Physical Review A. 2005. Vol. 71, num. 3, pags. 033615. ISSN 1050-2947. [consulted: 10 of August of 2026]. Available at: https://hdl.handle.net/2445/9585