Finite Size Corrections in the Two-Level BCS Model

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

Abstracts

EN

Superconducting properties of small metallic grains modelled by highly degenerate two-level spectrum have been studied. We have solved numerically Richardson's exact equations for the system of 2N electrons in two levels. Characterising the size of the grain by the level degeneracy we study the finite size corrections to the thermodynamic limit of the ground and lowest excited state energy. The interparticle distance∝ N^{-1/3} seems to be the expansion parameter. The obtained results have been compared with those of other authors.

Keywords

EN

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

Discipline

• 73.22.Gk: Broken symmetry phases
• 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: 2006
• Volume: 109
• Issue: 4-5
• Pages: 569-572

Dates

published

2006-04

received

2005-09-25

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, 71, 094505, 2005
• 4. R.W. Richardson, N. Sherman, Nucl. Phys., 52, 221, 1964
• 5. R.W. Richardson, J. Math. Phys., 6, 1034, 1965
• 6. S. Dusuel, J. Vidal, Phys. Rev. A, 71, 060304, 2005

Identifiers

DOI

10.12693/APhysPolA.109.569