Statistical ensembles and spectral correlations in mesoscopic systems

Alex Kamenev, Yuval Gefen

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


Employing different statistical ensembles may lead to qualitatively different results concerning averages of physical observables on the mesoscopic scale. Here we discuss differences between the canonical and the grandcanonical ensembles due to both quenched disorder and thermodynamical effects. We show how these differences are related to spectral correlations of the system at hand, and evaluate the conditions (temperature, system's size) when the thermodynamic limit is achieved. We demonstrate our approach by evaluating the heat capacity, persistent currents and the occupation probability of single electron states, employing a systematic diagrammatic approach.

Original languageEnglish (US)
Pages (from-to)1229-1247
Number of pages19
JournalChaos, Solitons and Fractals
Issue number7-8
StatePublished - 1997
Externally publishedYes

Bibliographical note

Funding Information:
Acknowledgements-We have benefited from discussion with J. Hajdu, Y. Imry, A. Schmid and A.D. Stone. This research was supported by the German-Israel Foundation (GIF), the US-Israel Binational Science Foundation (BSF) and the Israel Academy of Sciences.


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