S-Wave Bound- and Resonant States of Two Fermions in Simple Cubic Lattice
作者： M. Bak
DOI: 10.12693/APHYSPOLA.121.808
关键词: Lattice (order) 、 Hubbard model 、 Quantum mechanics 、 Exact formula 、 Fermion 、 Simple cubic lattice 、 S-wave 、 Physics 、 Scattering cross-section 、 Scattering
摘要: Resonant two-electron states are examined in attractive Hubbard model on simple cubic lattice and exact formula for scattering cross section the limit of low density (empty lattice) is calculated. S-wave pair considered by means Green functions (LGF). Analytical form these found Joyce used facilitating calculations, which were greatly hindered before necessity using LGF's tabulated values. It that actual peak cross-section formed lower band boundary discrepancy with formulae theory solids.
sci-hub.st 参考文章(21)
A Morriss-Andrews, R J Gooding, Two-electron bound state formation in the t–J–U model for exchange-coupled planes Journal of Physics: Condensed Matter. ,vol. 19, pp. 386216- ,(2007) , 10.1088/0953-8984/19/38/386216
G. Modugno, F. Ferlaino, R. Heidemann, G. Roati, M. Inguscio, Production of a Fermi gas of atoms in an optical lattice Physical Review A. ,vol. 68, pp. 011601- ,(2003) , 10.1103/PHYSREVA.68.011601
Richard Silberglitt, A. Brooks Harris, Dynamics of the Heisenberg Ferromagnet at Low Temperatures Physical Review. ,vol. 174, pp. 640- 658 ,(1968) , 10.1103/PHYSREV.174.640
Saurabh Basu, R. J. Gooding, Examining a square to triangular lattice interpolation: bound states in two dimensional t–J models Physica Status Solidi B-basic Solid State Physics. ,vol. 242, pp. 1431- 1446 ,(2005) , 10.1002/PSSB.200440036
A. S. Blaer, H. C. Ren, O. Tchernyshyov, Extended bound states and resonances of two fermions on a periodic lattice Physical Review B. ,vol. 55, pp. 6035- 6043 ,(1997) , 10.1103/PHYSREVB.55.6035
R. Friedberg, T. D. Lee, H. C. Ren, Bosonization of lattice fermions. Physical Review B. ,vol. 50, pp. 10190- 10217 ,(1994) , 10.1103/PHYSREVB.50.10190
Markus Greiner, Cindy A. Regal, Deborah S. Jin, Emergence of a molecular Bose–Einstein condensate from a Fermi gas Nature. ,vol. 426, pp. 537- 540 ,(2003) , 10.1038/NATURE02199
R. Micnas, J. Ranninger, S. Robaszkiewicz, Superconductivity in narrow-band systems with local nonretarded attractive interactions Reviews of Modern Physics. ,vol. 62, pp. 113- 171 ,(1990) , 10.1103/REVMODPHYS.62.113
M. Yu. Kagan, I. V. Brodsky, D. V. Efremov, A. V. Klaptsov, Composite fermions, trios, and quartets in a Fermi-Bose mixture Physical Review A. ,vol. 70, pp. 023607- ,(2004) , 10.1103/PHYSREVA.70.023607
G S Joyce, Exact evaluation of the simple cubic lattice Green function for a general lattice point Journal of Physics A. ,vol. 35, pp. 9811- 9828 ,(2002) , 10.1088/0305-4470/35/46/307