Propagators in two-dimensional lattices

Emerson Sadurní

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arXiv · 1306.0261

Propagators in two-dimensional lattices

Emerson Sadurní

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Abstract

This paper is devoted to the computation of discrete propagators in two-dimensional crystals and their application to a number of time dependent problems. The methods to compute such kernels are provided by a tight-binding representation of Dirac matrices and the generalizations of Bessel functions. Diffusive effects of point-like distributions on crystalline sheets are studied in a second quantization scheme. In the last part, a compendium of propagators is presented. The cases of square, triangular and hexagonal arrays are covered.

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Emerson Sadurní. 2013-06-02. Propagators in two-dimensional lattices. https://arxiv.org/abs/1306.0261

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