Competing many-body instabilities and unconventional superconductivity in graphene

Maximilian L. Kiesel; Christian Platt; Werner Hanke; Dmitry A. Abanin; Ronny Thomale

doi:10.1103/PhysRevB.86.020507

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Competing many-body instabilities and unconventional superconductivity in graphene

Maximilian L. Kiesel, Christian Platt, Werner Hanke, Dmitry A. Abanin, Ronny Thomale

DOI 10.1103/PhysRevB.86.020507 · Physical Review B

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Abstract

The band structure of graphene exhibits van Hove singularities (VHSs) at dopings x=±1/8 away from the Dirac point. Near the VHS, interactions effects, enhanced due to the large density of states, can give rise to various many-body phases. We study the competition between many-body instabilities in graphene using the functional renormalization group. We predict a rich phase diagram, which, depending on band structure as well as the range and scale of Coulomb interactions, contains a d+id-wave superconducting (SC) phase, or a spin-density-wave phase at the VHS. The d+id state is expected to exhibit quantized charge and spin Hall response, as well as Majorana modes bound to vortices. Nearby the VHS, we find singlet d+id-wave and triplet f-wave SC phases.