Volume 71, Number 3, August 2005
|352 - 358
|14 July 2005
Anomalous tunneling of bound pairs in crystal lattices
2970 N. W. Christine St, Corvallis, OR 97330, USA
2 2876 N. W. Audene Drive, Corvallis, OR 97330, USA
Accepted: 7 June 2005
A novel non-perturbative method of solving scattering problems for bound pairs on a lattice is developed. Two different break-ups of the Hamiltonian are employed to calculate the full Green operator and the wave function of the scattered pair. The calculation converges exponentially in the number of basis states used to represent the non-translation–invariant part of the Green operator. The method is general and applicable to a variety of scattering and tunneling problems. As the first application, the problem of pair tunneling through a weak link on a one-dimensional lattice is solved. It is found that at the momentum values close to the pair tunnels much easier than one particle, with the transmission coefficient approaching unity. This anomalously high transmission is a consequence of the existence of a two-body resonant state localized at the weak link.
PACS: 03.65.Ge – Solutions of wave equations: bound states / 03.65.Nk – Scattering theory / 71.10.Li – Excited states and pairing interactions in model systems
© EDP Sciences, 2005
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