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We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
On a mesoscopic many-body Hamiltonian describing elastic shears and dislocations
Stephan Luckhaus and Luca MugnaiAbstract
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.
- Received:
- 19.11.09
- Published:
- 25.11.09
- Keywords:
- dislocations, theory of defects