✦ LIBER ✦

Polynomial method for canonical calculations

✍ Scribed by N.K. Kuzmenko; V.M. Mikhajlov

Book ID: 103880729
Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 222 KB
Volume: 373
Category: Article
ISSN: 0378-4371
DOI: 10.1016/j.physa.2006.05.048

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✦ Synopsis

A practical version of the polynomial canonical formalism is developed for normal mesoscopic systems consisting of N noninteracting electrons. Drastic simplification of calculations is attained by means of a proper ordering of excited states of the system. It results in that the exact canonical partition function can be represented as a series in which the first term corresponds to the ground state whereas successive groups of terms belong to many particle-hole excitations (one particle-hole, two particle-hole and so on). The number of terms which should be taken into account weakly depends on N and does not exceed 2k B T=d F (d F is the mean level spacing near the Fermi level). The elaborated method is free from limitations on N and T and makes the canonical calculations practically not more complicated than the grand canonical ones.

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