Heriot-Watt Mathematics Report Series
HWM99-43, 22 Dec 1999
Pair formation in the Hubbard-Davydov model
L Cruzeiro-Hansson, J C Eilbeck, J L Marin and F M Russell
Abstract
We study a model 1-D system which describes two quasi-particles
interacting with a nonlinear lattice. The quasi-particles are
treated quantum mechanically, whereas the lattice is treated
classically. For a range of model parameters, we find pairing
between the two quasi-particles. We investigate the dynamical
stability of such pairs, and comment on the possible applications to
models of HTSC.
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Full text: http://www.ma.hw.ac.uk/~chris/HubDav.pdf
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