Bose-Einstein Condensation on inhomogeneous networks: mesoscopic aspects versus thermodynamic limit
arXiv:cond-mat/0209095 · doi:10.1103/PhysRevB.66.094207
Abstract
We study the filling of states in a pure hopping boson model on the comb lattice, a low dimensional discrete structure where geometrical inhomogeneity induces Bose-Einstein condensation (BEC) at finite temperature. By a careful analysis of the thermodynamic limit on combs we show that, unlike the standard lattice case, BEC is characterized by a macroscopic occupation of a finite number of states with energy belonging to a small neighborhood of the ground state energy. Such remarkable feature gives rise to an anomalous behaviour in the large distance two-point correlation functions. Finally, we prove a general theorem providing the conditions for the pure hopping model to exhibit the standard behaviour, i.e. to present a macroscopic occupation of the ground state only.
8 pages, 5 eps figures, to appear in Phys. Rev. B 66
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