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Pis'ma v Zh. Èksper. Teoret. Fiz., 2010, Volume 92, Issue 7, Pages 534–538 (Mi jetpl1437)  

This article is cited in 18 scientific papers (total in 18 papers)


“Moth-eaten effect” driven by Pauli blocking, revealed for Cooper pairs

W. V. Pogosovab, M. Combescotb

a Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, Moscow, Russia
b Institut des NanoSciences de Paris, Universite Pierre et Marie Curie, CNRS, Campus Boucicaut, Paris, France

Abstract: We extend the well-known Cooper's problem beyond one pair and study how this dilute limit is connected to the many-pair BCS condensate. We find that, all over from the dilute to the dense regime of pairs, Pauli blocking induces the same “moth-eaten effect” as the one existing for composite boson excitons. This effect makes the average pair binding energy decrease linearly with pair number, bringing it, in the standard BCS configuration, to half the single-pair value. This proves that, at odds with popular understanding, the BCS gap is far larger than the broken pair energy. The increase comes from Pauli blocking between broken and unbroken pairs. Possible link between our result and the BEC-BCS crossover is also discussed.

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English version:
Journal of Experimental and Theoretical Physics Letters, 2010, 92:7, 484–489

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Document Type: Article
Received: 04.06.2010
Revised: 22.07.2010
Language: English

Citation: W. V. Pogosov, M. Combescot, ““Moth-eaten effect” driven by Pauli blocking, revealed for Cooper pairs”, Pis'ma v Zh. Èksper. Teoret. Fiz., 92:7 (2010), 534–538; JETP Letters, 92:7 (2010), 484–489

Citation in format AMSBIB
\by W.~V.~Pogosov, M.~Combescot
\paper ``Moth-eaten effect'' driven by Pauli blocking, revealed for Cooper pairs
\jour Pis'ma v Zh. \`Eksper. Teoret. Fiz.
\yr 2010
\vol 92
\issue 7
\pages 534--538
\jour JETP Letters
\yr 2010
\vol 92
\issue 7
\pages 484--489

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    This publication is cited in the following articles:
    1. Combescot M., Cren T., Crouzeix M., Betbeder-Matibet O., “Density dependence of the energy of N Cooper pairs”, Eur Phys J B, 80:1 (2011), 41–49  crossref  adsnasa  isi  scopus
    2. Combescot M., Zhu G.J., “Coboson formalism for Cooper pairs and its application to Richardson's equations”, Eur Phys J B, 79:3 (2011), 263–274  crossref  adsnasa  isi  scopus
    3. Verhulst T., Naudts J., “A Mechanism for Electron Pair Formation”, Modern Phys Lett B, 25:14 (2011), 1167–1177  crossref  zmath  adsnasa  isi  elib  scopus
    4. Combescot M., ““Commutator formalism” for pairs correlated through Schmidt decomposition as used in Quantum Information”, Europhys Lett EPL, 96:6 (2011), 60002  crossref  adsnasa  isi  scopus
    5. Crouzeix M., Combescot M., “Energy of N Cooper Pairs by Analytically Solving the Richardson-Gaudin Equations for Conventional Superconductors”, Physical Review Letters, 107:26 (2011), 267001  crossref  adsnasa  isi  elib  scopus
    6. Pogosov W.V., “'Probabilistic' approach to Richardson equations”, Journal of Physics: Condensed Matter, 24:7 (2012), 075701  crossref  adsnasa  isi  scopus
    7. Zhu G., Combescot M., “Competition between BCS-pairing and “moth-eaten effect” in BEC-BCS crossover”, Solid State Communications, 152:2 (2012), 90–94  crossref  adsnasa  isi  elib  scopus
    8. Zhu G., Combescot M., Betbeder-Matibet O., “Bcs Ansatz for Superconductivity in the Canonical Ensemble and the Pauli Exclusion Principle”, Physica C, 480 (2012), 43–48  crossref  adsnasa  isi  elib  scopus
    9. Pogosov W.V., “Excited States in Richardson Pairing Model: ‘Probabilistic’ Approach”, Prog. Theor. Phys., 128:1 (2012), 1–14  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    10. Pogosov W.V., Lin N., Misko V.R., “Electron-Hole Symmetry and Solutions of Richardson Pairing Model”, Eur. Phys. J. B, 86:5 (2013), 235  crossref  adsnasa  isi  scopus
    11. Combescot M., Pogosov W.V., Betbeder-Matibet O., “Bcs Ansatz for Superconductivity in the Light of the Bogoliubov Approach and the Richardson-Gaudin Exact Wave Function”, Physica C, 485 (2013), 47–57  crossref  adsnasa  isi  elib  scopus
    12. Pogosov W.V., “Applicability of Bardeen-Cooper-Schrieffer Theory To Small-Sized Superconductors: Role of Cooper-Pair Binding Energy”, Solid State Commun., 207 (2015), 1–4  crossref  adsnasa  isi  elib  scopus
    13. Bork L.V., Pogosov W.V., “Particle-Hole Duality, Integrability, and Russian Doll Bcs Model”, Nucl. Phys. B, 897 (2015), 405–420  crossref  zmath  adsnasa  isi  elib  scopus
    14. Combescot M., Shiau Sh.-Yu., Chang Y.-Ch., “Coboson Many-Body Formalism For Cold-Atom Dimers With Attraction Between Different Fermion Species Only”, Phys. Rev. A, 93:1 (2016), 013624  crossref  adsnasa  isi  elib  scopus
    15. Combescot M., Crouzeix M., “From granules to bulk superconductors using Richardson-Gaudin equations”, Eur. Phys. J. B, 89:7 (2016), 164  crossref  mathscinet  isi  scopus
    16. Combescot M., Shiau S., “Excitons and Cooper Pairs: Two Composite Bosons in Many-Body Physics”, Excitons and Cooper Pairs: Two Composite Bosons in Many-Body Physics, Oxford Univ Press, 2016, 1–546  crossref  isi
    17. Shiau Sh.-Yu., Combescot M., “Effect of Pauli blocking on coherent states of composite bosons”, Phys. Rev. A, 95:1 (2017), 013838  crossref  isi  scopus
    18. Pogosov W.V., Shapiro D.S., Bork L.V., Onishchenko A.I., “Exact Solution For the Inhomogeneous Dicke Model in the Canonical Ensemble: Thermodynamical Limit and Finite-Size Corrections”, Nucl. Phys. B, 919 (2017), 218–237  crossref  mathscinet  zmath  isi  scopus
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