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arXiv · 1307.4615

Feshbach-type resonances for two-particle scattering in graphene

C. Gaul·F. Domínguez-Adame·F. Sols·I. Zapata
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Abstract

Two-particle scattering in graphene is a multichannel problem, where the energies of the identical or opposite-helicity channels lie in disjoint energy segments. Due to the absence of Galilean invariance, these segments depend on the total momentum $Q$. The dispersion relations for the two opposite-helicity scattering channels are analogous to those of two one-dimensional tight-binding lattices with opposite dispersion relations, which are known to easily bind states at their edges. When an $s$-wave separable interaction potential is assumed, those bound states reveal themselves as three Feshbach resonances in the identical-helicity channel. In the limit $Q \rightarrow 0$, one of the resonances survives and the opposite-helicity scattering amplitudes vanish.

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C. Gaul, F. Domínguez-Adame, F. Sols, I. Zapata. 2013-07-17. Feshbach-type resonances for two-particle scattering in graphene. https://doi.org/10.1103/physrevb.89.045420

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