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MiS Preprint
67/2009
On a mesoscopic many-body Hamiltonian describing elastic shears and dislocations
Stephan Luckhaus and Luca Mugnai
Abstract
We define a ``reference-free'' many-body Hamiltonian acting on finite systems of particles, and study some properties of ``low-energy'' states. More precisely we show that ``low-energy'' states are locally well described (on a mesoscale) by appropriate affine transformations of a ground state lattice. Moreover we use such (local) description to define an ``holonomy representation map'' and a consequent notion of topological defect.