Thermodynamics of the Two-Level Richardson Model |
| A. Ciechan and K.I. Wysokiński
Institute of Physics and Nanotechnology Centre, M. Curie-Skłodowska University, Radziszewskiego 10, 20-031 Lublin, Poland |
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| Received: 14 09 2006; |
| The two-level version of the Richardson model presents a unique possibility to calculate numerically exactly thermodynamic properties of the system it describes. The point is that all energies and the degeneracies of the many-body system can be easily calculated. The energies are given by the eigenvalues of the small (of order of N×N, where 2N is a number of electrons in the system) tridiagonal matrices. Here we numerically obtain a complete spectrum of the interacting two-level model and calculate the specific heat and the pairing energy of the small system at finite temperatures. |
| DOI: 10.12693/APhysPolA.111.467 PACS numbers: 61.46.-w, 73.22.Gk, 74.90.+n |