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)

• 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

References

• 1. J. von Delft, D.C. Ralph, Phys. Rep., 345, 61, 2001
• 2. K.A. Matveev, A.J. Larkin, Phys. Rev. Lett., 78, 3749, 1997
• 3. E.A. Yuzbashyan, A.A. Baytin, B.L. Altshuler, Phys. Rev. B, 1971, 094505, 2005
• 4. J. Dukelsky, S. Pittel, G. Sierra, Rev. Mod. Phys., 76, 643, 2004
• 5. A. Ciechan, K.I. Wysokiński, Acta Phys. Pol. A, 109, 569, 2006
• 6. S. Dusuel, J. Vidal, Phys. Rev. A, 71, 060304, 2005
• 7. D.C. Ralph, C.T. Black, M. Tinkham, Phys. Rev. Lett., 78, 4087, 1997; C.T. Black, D.C. Ralph, M. Tinkham, ibid., 74, 3241, 1995; ibid., 76, 688, 1996
• 8. M. Schechter, J. von Delft, Y. Imry, Y. Levinson, Phys. Rev. B, 67, 064506, 2003
• 9. V.N. Gladilin, V.M. Fomin, J.T. Devreese, Phys. Rev. B, 70, 144506, 2004
• 10. R. Rossignoli, N. Canosa, J.L. Egido, Phys. Rev. B, 64, 224511, 2001
• 11. R.W. Richardson, Phys. Lett., 3, 277, 1963; Phys. Lett., 5, 82, 1963; Phys. Lett., 14, 325, 1965; J. Math. Phys., 6, 1034, 1965; Phys. Rev., 141, 949, 1966; Phys. Rev., 144, 874, 1966; Phys. Rev., 159, 792, 1967; J. Math. Phys., 18, 1802, 1977
• 12. R.W. Richardson, N. Sherman, Nucl. Phys., 52, 221, 1964
• 13. K. Van Houcke, S.M.A. Rombouts, L. Pollet, Phys. Rev. B, 73, 132509, 2006
• 14. R. Kubo, Statistical Mechanics, North-Holland Publ. Co., Amsterdam 1965, p. 38

Identifiers

DOI

10.12693/APhysPolA.111.467