Bose-Einstein Condensation on inhomogeneous networks: mesoscopic aspects versus thermodynamic limit

Details Bose-Einstein Condensation on inhomogeneous networks: mesoscopic aspects versus thermodynamic limit Bose-Einstein Condensation on inhomogeneous networks: mesoscopic aspects versus thermodynamic limit

2002-09-04

arxiv.org/abs/cond-mat/0209095v1

Physics

Condensed Matter

8 pages, 5 eps figures, to appear in Phys. Rev. B 66

Scientific paper

10.1103/PhysRevB.66.094207

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.

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