Enhanced stability of bound pairs at nonzero lattice momenta

Details Enhanced stability of bound pairs at nonzero lattice momenta Enhanced stability of bound pairs at nonzero lattice momenta

2003-11-10

arxiv.org/abs/cond-mat/0311195v1

Physics

Condensed Matter

Strongly Correlated Electrons

7 RevTEX pages, 5 figures

Scientific paper

10.1103/PhysRevB.69.235110

A two-body problem on the square lattice is analyzed. The interaction potential consists of strong on-site repulsion and nearest-neighbor attraction. Exact pairing conditions are derived for s-, p-, and d-symmetric bound states. The pairing conditions are strong functions of the total pair momentum K. It is found that the stability of pairs increases with K. At weak attraction, the pairs do not form at the $\Gamma$-point but stabilize at lattice momenta close to the Brillouin zone boundary. The phase boundaries in the momentum space, which separate stable and unstable pairs are calculated. It is found that the pairs are formed easier along the $(\pi,0)$ direction than along the $(\pi,\pi)$ direction. This might lead to the appearance of ``hot pairing spots" on the Kx and Ky axes.

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