Cooper Pair in Two Nonstandard Situations

• Authors: P Wróbel , Z Starypan , J Kaczmarczyk , J Spałek
• Languages of publication: EN

Abstracts

EN

We summarize briefly our recent work on the bound states of two electrons (Cooper pairs) in two nonstandard situations: when the quasiparticle masses depend on spin and when an electron pair is localized on a two-dimensional quantum dot and placed in an applied magnetic field. In both cases we are dealing with an extension of the original Cooper approach. The applicability of the results is briefly mentioned.

Keywords

EN

74.20.-z; 74.25.Jb; 71.10.-w

Discipline

• 74.20.-z: Theories and models of superconducting state
• 71.10.-w: Theories and models of many-electron systems
• 74.25.Jb: Electronic structure (photoemission, etc.)

• Journal: Acta Physica Polonica A
• Year: 2006
• Volume: 109
• Issue: 4-5
• Pages: 541-548

Dates

published

2006-04

received

2005-09-25

Contributors

author

P Wróbel

• Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

author

Z Starypan

• Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

author

J Kaczmarczyk

• Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

author

J Spałek

• Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

References

• 1. L.N. Cooper, Phys. Rev., 104, 1189, 1956. See also: M. Randeria, J.-M. Duan, L.-Y. Shieh, Phys. Rev. B, 41, 327, 1990
• 2. J. Bardeen, L.N. Cooper, J.R. Schrieffer, Phys. Rev., 108, 1175, 1957
• 3. A single pair in a vacuum is discussed in: K. Byczuk, J. Spal ek, W. Wójcik, Phys. Rev. B, 46, 14134, 1992
• 4. M. Ortano, E. Cuevas, Europhys. Lett., 46, 224, 1999; G. Benedetti, D.L. Shepelyansky, cond-mat/0011461
• 5. J. Spalek, P. Gopalan, Phys. Rev. Lett., 64, 2823, 1990; P. Korbel, J. Spalek, W. Wójcik, M. Acquarone, Phys. Rev. B, 52, R2213, 1995
• 6. For the case of single electron see e.g. L.D. Landau, E.M. Lifshitz, Quantum Mechanics, Pergamon Press, Oxford 1980, Par. 112; cf. also A.B. Pipard, The Physics of Vibration, Cambridge University Press, Cambridge 1983, Ch. 15
• 7. M. Maśka, M. Mierzejewski, B. Andrzejewski, M.L. Foo, R.J. Cava, T. Klimczuk, Phys. Rev. B, 70, 144516, 2004
• 8. A. McCollam, S.R. Julian, P.M.C. Rourke, D. Aoki, J. Flouquet, Phys. Rev. Lett., 94, 186401, 2005
• 9. P. Wróbel, M.Sc. thesis, Jagiellonian University, Kraków 1999, unpublished
• 10. Z. Starypan, M.Sc. thesis, Jagiellonian University, Kraków 2004, unpublished

Identifiers

DOI

10.12693/APhysPolA.109.541