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

Tomonaga-Luttinger liquid parameters of magnetic waveguides in graphene