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Wormhole for electron waves in graphene

Fernandes, D. E. ; Engheta, N. ; Silveirinha, M. G.

Physical Review B Vol. 90, Nº 041406(R), pp. 1 - 5, July, 2014.

ISSN (print): 1098-0121
ISSN (online): 1098-0121

Journal Impact Factor: 3,736 (in 2014)

Digital Object Identifier: 10.1103/PhysRevB.90.041406

Abstract
The theory of transformation optics for light has fascinated the scientific community for almost one decade due to its revolutionary and groundbreaking implications. Because the propagation of electrons in condensed matter systems is also described by a wave equation, one may also envision the extension of this idea to matter waves. Here, we suggest that graphene can be used as a platform to demonstrate a “tunnel” or “wormhole” for electrons. Based on an effective medium approach, we theoretically demonstrate that two properly designed graphene-based nanomaterials can effectively “annihilate” one another from an electronic point of view, and provide for the delocalization of the wave function stationary states, similar to a “wormhole”.