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Critical Temperature of Bose-Einstein Condensation of Hard-Sphere Gases

Critical Temperature of Bose-Einstein Condensation of Hard-Sphere Gases

We determine the critical temperature of a 3-d homogeneous system of hard-sphere Bosons by path-integral Monte Carlo simulations and finite-size scaling. At low densities, we find that the critical temperature is increased by the repulsive interactions, in the form of a power law in density with exponent 1/3: $\Delta T_C/T_0\sim …