Thermodynamics of the Two-Level Richardson Model

• Authors: A. Ciechan , K. Wysokiński
• Languages of publication: EN

Abstracts

EN

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.

Keywords

EN

61.46.-w; 73.22.Gk; 74.90.+n

Discipline

• 73.22.Gk: Broken symmetry phases
• 61.46.-w: Structure of nanoscale materials(for thermal properties of nanocrystals and nanotubes, see 65.80.-g; for mechanical properties of nanoscale systems, see 62.25.-g; for electronic transport in nanoscale materials, see 73.63.-b; see also 62.23.-c Structural classes of nanoscale systems; 64.70.Nd Structural transitions in nanoscale materials; for magnetic properties of nanostructures, see 75.75.-c)
• 74.90.+n: Other topics in superconductivity (restricted to new topics in section 74)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2007
• Volume: 111
• Issue: 4
• Pages: 467-473

Dates

published

2007-04

received

2006-09-14

Contributors

author

A. Ciechan

• Institute of Physics and Nanotechnology Centre, M. Curie-Skłodowska University, Radziszewskiego 10, 20-031 Lublin, Poland

author

K. Wysokiński

• Institute of Physics and Nanotechnology Centre, M. Curie-Skłodowska University, Radziszewskiego 10, 20-031 Lublin, Poland

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Identifiers

DOI

10.12693/APhysPolA.111.467