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Two-body problem in graphene
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DOI：10.1103/PhysRevB.81.045428.png)
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We study the problem of two Dirac particles interacting through nonrelativistic potentials and confined to a two-dimensional sheet, which is the relevant case for graphene layers. The two-body problem cannot be mapped into that of a single particle, due to the nontrivial coupling between the center-of-mass and the relative coordinates, even in the presence of central potentials. We focus on the case of zero total momentum, which is equivalent to that of a single particle in a Sutherland lattice. We show that zero-energy states induce features such as discontinuities in the relative wave function, for particles interacting through a step potential, and a concentration of relative density near the classical turning point, if particles interact via a Coulomb potential. In the latter case we also find that the two-body system becomes unstable above a critical coupling. These phenomena may have bearing on the nature of strong-coupling phases in graphene.
Keyword:
FERMI-LIQUID BEHAVIOR
ELECTRONIC-PROPERTIES
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3.7
论文数:
15.4W
被引数:
41.0W
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