Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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10 pages, 5 figures, published version

Scientific paper

10.1103/PhysRevB.78.165402

Electronic waveguides in graphene formed by counterpropagating snake states in suitable inhomogeneous magnetic fields are shown to constitute a realization of a Tomonaga-Luttinger liquid. Due to the spatial separation of the right- and left-moving snake states, this non-Fermi liquid state induced by electron-electron interactions is essentially unaffected by disorder. We calculate the interaction parameters accounting for the absence of Galilei invariance in this system, and thereby demonstrate that non-Fermi liquid effects are significant and tunable in realistic geometries.

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