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2006 | 109 | 4-5 | 541-548
Article title

Cooper Pair in Two Nonstandard Situations

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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
Publisher

Year
Volume
109
Issue
4-5
Pages
541-548
Physical description
Dates
published
2006-04
received
2005-09-25
Contributors
author
  • Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
author
  • Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
author
  • Marian Smoluchowski Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
author
  • 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 thesis, Jagiellonian University, Kraków 1999, unpublished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 thesis, Jagiellonian University, Kraków 2004, unpublished
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv109n414kz
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