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Issue J. Phys. Colloques
Volume 38, Number C2, Juillet 1977
Conférence Internationale sur les Petites Particules et Amas Inorganiques / International Meeting on the Small Particles and Inorganic Clusters
Page(s) C2-129 - C2-132
DOI 10.1051/jphyscol:1977226

Conférence Internationale sur les Petites Particules et Amas Inorganiques / International Meeting on the Small Particles and Inorganic Clusters

J. Phys. Colloques 38 (1977) C2-129-C2-132
DOI: 10.1051/jphyscol:1977226

ON THE STATISTICAL PROPERTIES OF THE ELECTRONIC LEVELS OF SMALL METALLIC PARTICLES

J. BAROJAS1, E. COTA1, E. BLAISTEN-BAROJAS2, J. FLORES2 and P. A. MELLO2

1  Departamento de Física, Universidad Autónoma Metropolitana, Iztapalapa Apartado Postal 55-534, México 13, D.F.
2  Instituto de Física, Universidad Nacional Autónoma de México Apartado Postal 20-364, México 20, D.F.


Résumé
On examine dans ce travail les arguments de Kubo et Gor'kov-Eliashberg concernant les fluctuations des niveaux d'énergie des particules métalliques. Nous confirmons que la Théorie des Matrices Aléatoires n'est pas adéquate pour décrire le comportement de ces particules quand on leur associe le modèle des électrons libres avec conditions aux limites de Dirichlet. Dans le cadre d'un modèle à deux dimensions exactement soluble on détermine la répartition des écarts entre niveaux d'énergie et on ne constate pas de répulsion entre ces niveaux. Finalement on calcule numériquement la variation de la chaleur spécifique Cv en fonction de la température pour une collection de spectres dont la loi de répartition des écarts d'énergies est aléatoire.


Abstract
The arguments of Kubo and Gor'kov-Eliashberg concerning the level fluctuations of small metallic particles (s.m.p.) are reviewed. We make plausible that Random Matrix Theory is not applicable to be s.m.p. problem within the free electron picture and when Dirichlet boundary conditions are used. Next, in the frame of an exactly soluble two-dimensional model, we determine the level-spacing-distribution which shows no level repulsion. Finally we calculate numerically the specific heat Cv at finite temperature for an assembly of spectra following the random distribution law.





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