Onset of an Insulating Zero-Plateau Quantum Hall State in Graphene

Details Onset of an Insulating Zero-Plateau Quantum Hall State in Graphene Onset of an Insulating Zero-Plateau Quantum Hall State in Graphene

2008-07-17

arxiv.org/abs/0807.2867v2

Phys. Rev. Lett. 102, 206408 (2009).

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Revised version, to appear in PRL

Scientific paper

We analyze the dissipative conductance of the zero-plateau quantum Hall state appearing in undoped graphene in strong magnetic fields. Charge transport in this state is assumed to be carried by a magnetic domain wall, which forms by hybridization of two counter--propagating edge states of opposing spin due to interactions. The resulting non--chiral edge mode is a Luttinger liquid of parameter K, which enters a gapped, perfectly conducting state below a critical value K_c\approx 1/2. Backscattering in this system involves spin flip, so that interaction with localized magnetic moments generates a finite resistivity R_{xx} via a "chiral Kondo effect". At finite temperatures T, R_{xx}(T) exhibits a crossover from metallic to insulating behavior as K is tuned across a threshold K_{MI}. For T->0, R_{xx} in the intermediate regime K_{MI}

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