Bose-Einstein condensation on inhomogeneous networks: Mesoscopic aspects versus thermodynamic limit

Year: 2002

Authors: Buonsante P., Burioni R., Cassi D., Vezzani A.

Autors Affiliation: Dipartimento di Fisica and INFM, Università degli Studi di Parma; Dipartimento di Fisica, Politecnico di Torino

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 a remarkable feature gives rise to an anomalous behavior 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 behavior, i.e. to present a macroscopic occupation of the ground state only.

Journal/Review: PHYSICAL REVIEW B

Volume: 66 (9)      Pages from: 094207  to: 094207

KeyWords: lattice models; Bose-Einstein condensations; topological inhomogeneity
DOI: 10.1103/PhysRevB.66.094207

Citations: 29
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