PL EN


Preferences help
enabled [disable] Abstract
Number of results
2012 | 121 | 4 | 808-811
Article title

S-Wave Bound- and Resonant States of Two Fermions in Simple Cubic Lattice

Authors
Content
Title variants
Languages of publication
EN
Abstracts
EN
Resonant two-electron states are examined in attractive Hubbard model on simple cubic lattice and exact formula for scattering cross section in the limit of low density (empty lattice) is calculated. S-wave pair is considered by means of lattice Green functions (LGF). Analytical form of these functions found by Joyce is used facilitating calculations, which were greatly hindered before by the necessity of using LGF's tabulated values. It is found that the actual peak of scattering cross-section is formed on the lower band boundary in discrepancy with formulae of the theory of scattering in solids.
Keywords
Contributors
author
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
References
  • 1. J. Callaway, J. Math. Phys. 5, 783 (1964)
  • 2. F. Dyson, Phys. Rev. 102, 1207 (1965)
  • 3. M. Wortis, Phys. Rev. 132, 85 (1963)
  • 4. R. Friedberg, T.D. Lee, H.C. Ren, Phys. Rev. B 50, 10190 (1994)
  • 5. R. Micnas, J. Ranninger, S. Robaszkiewicz, Rev. Mod. Phys. 62, 113 (1990)
  • 6. M. Bak, R. Micnas, Mol. Phys. Rep. 24, 168 (1999)
  • 7. M. Bak, R. Micnas, Acta Phys. Pol. A 97, 209 (2000)
  • 8. M. Bak, Acta Phys. Pol. A 106, 637 (2004)
  • 9. M. Bak, Phys. Status Solidi B 242, 420 (2005)
  • 10. M. Bak, Phys. Status Solidi B 244, 2421 (2007)
  • 11. M. Bak, Acta Phys. Pol. A 114, 275 (2008)
  • 12. B. Tobijaszewska, M. Bak, Acta Phys. Pol. A 115, 135 (2009)
  • 13. F. Pistolesi, Ph Nozieres, Phys. Rev. B 66, 054501 (2002)
  • 14. P. Kornilovitch, Phys. Rev. B 69, 235110 (2004)
  • 15. S. Basu, R.J. Gooding, Phys. Status Solidi B 242, 1431 (2005)
  • 16. M.Yu. Kagan, I.V. Brodsky, D.V. Efremov, A.V. Klaptsov, Phys. Rev. A 70, 023607 (2004)
  • 17. Y.L. Wang, E. Manousakis, C.D. Wentworth, Phys. Rev. B 41, 7061 (1990)
  • 18. A. Morris-Andrews, R.J. Gooding, J. Phys. Condens. Matter 19, 386216 (2007)
  • 19. A.S. Blaer, H.C. Ren, O. Tchernyshyov, Phys. Rev. B 55, 6035 (1997)
  • 20. M. Valiente, D. Petrosyan, J. Phys. B: At. Mol. Opt. Phys. 42, 121001 (2009)
  • 21. M. Greiner, C.A. Regal, D.S. Jin, Nature 426, 537 (2003)
  • 22. G. Modugno, F. Ferlaino, R. Heidemann, G. Roati, M. Inguscio, Phys. Rev. A 68, 011601 (2003)
  • 23. G.S. Joyce, J. Phys. A: Math. Gen. 35, 9811 (2002)
  • 24. R. Silberglitt, A.B. Harris, Phys. Rev. 174, 640 (1968)
  • 25. G.F. Koster, Phys. Rev. 95, 1436 (1954)
  • 26. E.N. Economou, Green's Functions in Quantum Physics, Springer-Verlag, 2006
  • 27. T. Wolfram, J. Callaway, Phys. Rev. 130, 2207 (1963)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n4p116kz
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.