Kondo Quantum Criticality of Magnetic Adatoms in Graphene

Details Kondo Quantum Criticality of Magnetic Adatoms in Graphene Kondo Quantum Criticality of Magnetic Adatoms in Graphene

2010-06-13

arxiv.org/abs/1006.2512v3

Physical Review Letters 106, 016801 (2011)

Physics

Condensed Matter

Strongly Correlated Electrons

4.1 pages, 3 figures. Added erratum correcting exponent nu=1/3. All the other results remain valid

Scientific paper

10.1103/PhysRevLett.106.016801

We examine the exchange Hamiltonian for magnetic adatoms in graphene with localized inner shell states. On symmetry grounds, we predict the existence of a class of orbitals that lead to a distinct class of quantum critical points in graphene, where the Kondo temperature scales as $T_{K}\propto|J-J_{c}|^{1/3}$ near the critical coupling $J_{c}$, and the local spin is effectively screened by a \emph{super-ohmic} bath. For this class, the RKKY interaction decays spatially with a fast power law $\sim1/R^{7}$. Away from half filling, we show that the exchange coupling in graphene can be controlled across the quantum critical region by gating. We propose that the vicinity of the Kondo quantum critical point can be directly accessed with scanning tunneling probes and gating.

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