Publication: Feshbach-type resonances for two-particle scattering in graphene
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2014-01-21
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American Physical Society
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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 -> 0, one of the resonances survives and the opposite-helicity scattering amplitudes vanish.
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© 2014 American Physical Society.
The authors thank F. Guinea and N. Zinner for helpful comments. This work was supported by MINECO through Grants No. FIS2010-21372 and No. MAT2010-17180, by Comunidad de Madrid through Grant Microseres-CM, and by the EU through Marie Curie ITN NanoCTM. Research of C.G. was supported by a PICATA postdoctoral fellowship from the Moncloa Campus of International Excellence (UCM-UPM).
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