Polynomial method for canonical calculations
| dc.creator | Kuzmenko, N. K. | |
| dc.creator | Mikhajlov, V. M. | |
| dc.date | 2004-04-13 | |
| dc.date.accessioned | 2026-07-07T02:57:35Z | |
| dc.date.available | 2026-07-07T02:57:35Z | |
| dc.description | A practical version of the polynomial canonical formalism is developed for normal mesoscopic systems consisting of N independent electrons. Drastic simplification of calculations is attained by means of proper ordering excited states of the system. In consequence 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). At small temperatures (T<10 inter-level spacings near the Fermi level) the number of terms which should be taken into account is weakly dependent on N and remains <10 even if N~100000. The elaborated method makes canonical calculations to be not more complicated than the grand canonical ones and is free from any limitations on N and T. | |
| dc.description | 20 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0404299 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0404299 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/23726 | |
| dc.subject | Mesoscale and Nanoscale Physics | |
| dc.title | Polynomial method for canonical calculations | |
| dc.type | text |