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- W2054134135 abstract "We show that a two-dimensional wormhole geometry is equivalent to a catenoid, a minimal surface. We then obtain the curvature-induced geometric potential and show that the ground state with zero energy corresponds to a reflectionless potential. By introducing an appropriate coordinate system we also obtain bound states for different angular momentum channels. Our findings can be realized in suitably bent bilayer graphene sheets with a neck, in a honeycomb lattice with an array of dislocations, or in nanoscale waveguides in the shape of a catenoid." @default.
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- W2054134135 date "2010-01-19" @default.
- W2054134135 modified "2023-10-05" @default.
- W2054134135 title "Geometry-induced potential on a two-dimensional section of a wormhole: Catenoid" @default.
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- W2054134135 doi "https://doi.org/10.1103/physreva.81.014102" @default.
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