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Durham University

Department of Mathematical Sciences


Publication details for Professor Emeritus Wojtek Zakrzewski

Hartmann, B. & Zakrzewski, W.J. (2003). Electrons on Hexagonal Lattices and Applications to Nanotubes. Physical Review B 68(18): 184302.

Author(s) from Durham


We consider a Fröhlich-type Hamiltonian on a hexagonal lattice. Aiming to describe nanotubes, we choose this two-dimensional lattice to be periodic and to have a large extension in one (x) direction and a small extension in the other (y) direction. We study the existence of solitons in this model using both analytical and numerical methods. We find exact solutions of our equations and discuss some of their properties.