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 inhomogeneityDOI: 10.1103/PhysRevB.66.094207ImpactFactor: 3.327Citations: 29data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-10References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here