| Issue |
Europhys. Lett.
Volume 71, Number 3, August 2005
|
|
|---|---|---|
| Page(s) | 352 - 358 | |
| Section | General | |
| DOI | https://doi.org/10.1209/epl/i2005-10102-7 | |
| Published online | 14 July 2005 | |
Anomalous tunneling of bound pairs in crystal lattices
1
2970 N. W. Christine St, Corvallis, OR 97330, USA
2
2876 N. W. Audene Drive, Corvallis, OR 97330, USA
Corresponding authors: bulatov@physics.orst.edu pavel.kornilovich@hp.com
Received:
13
April
2005
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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